8. Sınıf Öğreniyorum Serisi Matematik Soru Bankası

["Ba\u015far\u0131yorum Tam Say\u0131lar\u0131n Tam Say\u0131 Kuvvetleri Test 10 3. A\u015fa\u011f\u0131da ard\u0131\u015f\u0131k iki tam say\u0131 aras\u0131n\u0131n 1 cm oldu\u011fu iki karton cetvel g\u00f6sterilmi\u015ftir. -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 -5 -4 -3 -2 -1 0 1 2 3 4 Bu cetvellerden birer ucu \u20132 noktas\u0131 olacak bi\u00e7imde 5 cm uzunlu\u011funda birer par\u00e7a kesiliyor. Kesilen par\u00e7alar\u0131n du- ru\u015fu ve y\u00f6n\u00fc de\u011fi\u015ftirilmeden a\u015fa\u011f\u0131daki gibi yerle\u015ftiriliyor. \u00dcs Taban Mor ve sar\u0131 kartonlardan \u00fcst \u00fcste ayn\u0131 hizada bulunan tam say\u0131lardan mor kartonda yazan tam say\u0131 taban, sar\u0131 kartonda yazan tam say\u0131 \u00fcs olacak bi\u00e7imde \u00fcsl\u00fc ifadeler elde ediliyor. Buna g\u00f6re elde edilen \u00fcsl\u00fc ifadelerden birinin de\u011feri en fazla ka\u00e7t\u0131r? 1 1 C) 9 D) 16 A) 16 B) 8 4. Dikd\u00f6rtgen \u015feklindeki bir ko\u015fu parkuru ve bu parkurun uzun kenar\u0131 \u00fczerine yerle\u015ftirilmi\u015f dikd\u00f6rtgen \u015feklindeki K, L, M ve N trib\u00fcnleri a\u015fa\u011f\u0131da modellenmi\u015ftir. Modele g\u00f6re biti\u015f \u00e7izgisi ile N trib\u00fcn\u00fcn\u00fcn kenarlar\u0131ndan birisi do\u011fru- sald\u0131r. Bu trib\u00fcnlerden birer kenarlar\u0131n\u0131n uzunluklar\u0131 ve aralar\u0131ndaki uzakl\u0131klar a\u015fa\u011f\u0131da g\u00f6sterilmi\u015ftir. 62 m 52 m 33 m 22 m K L M N 6m 6m 6m B\u0130T\u0130\u015e \u00c7\u0130ZG\u0130S\u0130 Sar\u0131 \u00e7izgi Bu parkurun uzun kenarlar\u0131na paralel olan sar\u0131 \u00e7izgi \u00fczerinde biti\u015f \u00e7izgisine do\u011fru ko\u015fan iki sporcudan biri K trib\u00fcn\u00fc kar\u015f\u0131s\u0131ndan ge\u00e7erken \u00f6ndeki sporcuyla aras\u0131nda 75 m mesafe vard\u0131r. Buna g\u00f6re \u00f6ndeki sporcunun konumu ile ilgili a\u015fa\u011f\u0131dakilerden hangisi kesinlikle yanl\u0131\u015ft\u0131r? A) L trib\u00fcn\u00fcn\u00fcn kar\u015f\u0131s\u0131ndad\u0131r. B) M trib\u00fcn\u00fc ile N trib\u00fcn\u00fc aras\u0131ndad\u0131r. C) M trib\u00fcn\u00fcn\u00fcn kar\u015f\u0131s\u0131ndad\u0131r. D) Biti\u015f \u00e7izgisini ge\u00e7mi\u015ftir. 50 8. S\u0131n\u0131f","Test Tam Say\u0131lar\u0131n Tam Say\u0131 Kuvvetleri Ba\u015far\u0131yorum 10 5. \u0130rem Han\u0131m, bah\u00e7esinin duvar\u0131na, her bir raf\u0131n yerden y\u00fcksekli\u011fi 3a cm olacak \u015fekilde, a\u015fa\u011f\u0131daki gibi raflar monte ettirmi\u015ftir. \u201ca\u201d raf numaras\u0131n\u0131 temsil etmektedir. 4. raf 3. raf 2. raf 1. raf Zemin (yatay) \u00d6rne\u011fin; 3. raf yerden 33 cm y\u00fcksekliktedir. Saks\u0131lar\u0131yla birlikte yerleri de\u011fi\u015ftirilebilecek konumda olan bu bitkilerin tepe k\u0131s\u0131mlar\u0131n\u0131n yere uzakl\u0131klar\u0131 e\u015fittir. Buna g\u00f6re, \u0130rem Han\u0131m 2 ve 4. rafta bulunan bitkilerin yerlerini de\u011fi\u015ftirdi\u011finde bu iki bitkinin tepe noktalar\u0131 aras\u0131ndaki y\u00fckseklik fark\u0131 ka\u00e7 cm olur? A) 63 B) 23\u00b732 C) 24\u00b732 D) 38 6. Standart bir beton, %15 oran\u0131nda sudan olu\u015fmaktad\u0131r. A\u015fa\u011f\u0131daki g\u00f6rselde verilen beton blokun a\u011f\u0131rl\u0131\u011f\u0131 3200 kg\u2019d\u0131r. Bu beton blokun yap\u0131m\u0131nda a\u015fa\u011f\u0131da birer tanesinin a\u011f\u0131rl\u0131\u011f\u0131 ve say\u0131lar\u0131 verilen su kovalar\u0131ndaki sular kullan\u0131lm\u0131\u015ft\u0131r. 25 adet 23 adet 32 adet x adet 32 adet 22 kg ( )1 \u20133 2 kg ( )1 \u20132 31 kg 2 kg 3 kg 1 -2 Buna g\u00f6re, bu beton blokun yap\u0131m\u0131nda a\u011f\u0131rl\u0131\u011f\u0131 c 3 m kg olan kovalardan ka\u00e7 adet kullan\u0131lm\u0131\u015ft\u0131r? A) 3 B) 32 C) 33 D) 34 8. S\u0131n\u0131f 51","Ba\u015far\u0131yorum Tam Say\u0131lar\u0131n Tam Say\u0131 Kuvvetleri Test 10 7. A\u015fa verilen d\u00f6rt adet kutudan hner birine bir \u00fcsl\u00fc ifade yaz\u0131lm\u0131\u015ft\u0131r. Bu \u00fcsl\u00fc ifadelerden en b\u00fcy\u00fck say\u0131 mavi renge, en k\u00fc\u00e7\u00fck say\u0131 sar\u0131 renge, di\u011ferleri ise pembe renge boyanacakt\u0131r. (\u20132\u20133)\u20134 3\u20132 (\u20135)\u20133 (\u20134)\u20132 Buna g\u00f6re, kartonun boyand\u0131ktan sonraki g\u00f6r\u00fcn\u00fcm\u00fc a\u015fa\u011f\u0131dakilerden hangisidir? A) B) C) D) 8. \u201324, 3-3 , (\u20132)4 , 32 , (\u20131)-5 \u00fcsl\u00fc ifadeleri a\u015fa\u011f\u0131daki 9. 2\u20134 \u20135\u20133 say\u0131 do\u011frusunda, de\u011ferlerine kar\u015f\u0131l\u0131k gelen noktala- (\u20134)\u20133 ra yerle\u015ftirilecektir. K\u0131rm\u0131z\u0131 Mavi Ye\u015fil Mor Yukar\u0131daki kartlar\u0131n \u00f6n y\u00fczlerinde birer \u00fcsl\u00fc ifadeler yaz\u0131lm\u0131\u015ft\u0131r. Her bir kart\u0131n arka y\u00fcz\u00fcnde ise \u00f6n y\u00fcz\u00fcn- \u201320 \u201310 0 10 20 de yazan \u00fcsl\u00fc ifadenin farkl\u0131 bir g\u00f6sterimi yazmak- tad\u0131r. Buna g\u00f6re, hangi renkteki do\u011fru par\u00e7as\u0131 \u00fczerine en fazla say\u0131da \u00fcsl\u00fc ifade yerle\u015ftirilir? Buna g\u00f6re, a\u015fa\u011f\u0131dakilerden hangisi bu kartlardan A) K\u0131rm\u0131z\u0131 B) Mavi herhangi birinin arka y\u00fcz\u00fcnde yaz\u0131l\u0131 olamaz? C) Ye\u015fil D) Mor 1 1 1 A) - 64 B) 16 C) - 125 D) \u2013125 52 8. S\u0131n\u0131f","\u00dcsl\u00fc \u0130fadelerle \u0130lgili Temel Kurallar \u00dcss\u00fcn \u00dcss\u00fc \u00dcsl\u00fc bir ifadenin \u00fcss\u00fc hesaplan\u0131rken \u00fcsler \u00e7arp\u0131l\u0131p, sonu\u00e7 tabana \u00fcs olarak yaz\u0131l\u0131r. a \u2260 0 ve n, m tam say\u0131 olmak \u00fczere (an)m = an\u00b7m\u2019dir. \u00d6rnek: (22)4 = 22\u00b74 = 28 (35)2 = 35\u00b72 = 310 (53)\u20136 = 53\u00b7(\u20136) = 5\u201318 NOT: Negatif tam say\u0131lar\u0131n \u00e7ift kuvvetleri pozitif oldu\u011fundan \u00fcsl\u00fc ifadenin \u00fcss\u00fc (parantez d\u0131\u015f\u0131ndaki \u00fcs) \u00e7ift ise sonu\u00e7 pozitiftir. \u20ba (\u201335)2 = 310 ve (\u201332)5 = \u2013310\u2019dur. Dolay\u0131s\u0131yla (\u201335)2 \u2260 (\u201332)5\u2019tir. 11 NOT: Bir \u00fcsl\u00fc ifadenin taban\u0131 farkl\u0131 say\u0131n\u0131n \u00fcss\u00fc olarak ifade edilebilir. Yeni taban ile \u00fcs- 1. A\u015fa\u011f\u0131da verilen \u00fcsl\u00fc ifadelerin e\u015fiti olan \u00fcsl\u00fc ifa- s\u00fcn \u00fcss\u00fc al\u0131narak ba\u015flang\u0131\u00e7taki \u00fcsl\u00fc ifadelerin deleri bulunuz. de\u011feri de\u011fi\u015fmeden taban\u0131 de\u011fi\u015ftirilebilir. a) (22)4 =..................... b) (34)3 = ...................... \u20ba 83 = (23)3 = 29 3. A\u015fa\u011f\u0131daki \u00fcsl\u00fc ifadelerin tabanlar\u0131n\u0131 de\u011fi\u015ftirerek c) (5\u20132)3 = ................... \u00e7) (6\u20133)\u20135 = ................... de\u011feri ayn\u0131 olan yeni \u00fcsl\u00fc ifadeler elde ediniz. a) 45 =......................... b) 9\u20133 = ........................ d) (\u201363)2 =................... e) (\u201337)2 =.................... c) 274 = ....................... \u00e7) \u201348 =........................ f) (\u20135\u20134)\u20131 = ................ g) (\u2013102)3 = .................. d) (\u20139)6 = .................... e) 253 =........................ \u011f) _^23h2i4 = ............... h) _^- 74h-1i-5 = ............. f) 125\u20132 =.................... g) (\u201332)3 = ................... 2. A\u015fa\u011f\u0131daki \u00fcsl\u00fc ifadelerin de\u011ferlerini bulunuz. 4. A\u015fa\u011f\u0131daki e\u015fitliklerde \ufffd sembolleri yerine yaz\u0131l- a) (22)3 =..................... b) (34)0 = ...................... mas\u0131 gereken say\u0131lar\u0131 bulunuz. c) (2\u20132)\u20132 = .................. \u00e7) (\u201333)\u20131 =................... a) 2\ufffd = 64 = ................ b) 5\ufffd\u20131 = 125 = ............. d) (\u2013100)9 = ................. e) _^- 13h2i6 =............... c) 7\ufffd+1 = 493 =............. \u00e7) 813 = 9\ufffd = ................ d) 343-4 = 1 = ....... e) 10006 = 100\ufffd =......... 49Y 8. S\u0131n\u0131f 53","\u00dcsl\u00fc \u0130fadelerle S\u0131ralama \u2022 Tam say\u0131lar\u0131n tam say\u0131 kuvvetleri konusunda \u00fcsl\u00fc ifadeleri kar\u015f\u0131la\u015ft\u0131r\u0131rken de\u011ferlerini bularak kar\u015f\u0131la\u015ft\u0131rma yap- m\u0131\u015ft\u0131k. Ancak bazen \u00fcsl\u00fc ifadeler de\u011ferleri bulunmadan da kar\u015f\u0131la\u015ft\u0131r\u0131l\u0131p s\u0131ralanabilir. \u2022 \u00dcsl\u00fc ifadeleri, de\u011ferlerini bulmadan s\u0131ralamak istiyorsak \u00fcss\u00fcn \u00fcss\u00fc yard\u0131m\u0131yla tabanlar\u0131n\u0131 ya da \u00fcslerini e\u015fitle- yebiliriz. \u00d6rnek: 38 > 37 > 36 , 107 > 77 > 67 \u2022 85 > 46\u2019t\u00fcr. \u00c7\u00fcnk\u00fc 85 = (23)5 = 215 ve 46 = (22)6 = 212 olacak bi\u00e7imde tabanlar e\u015fitlendi\u011finde 215 > 212 olur. \u2022 499 > 276\u2019t\u00fcr. \u00c7\u00fcnk\u00fc 499 = (72)9 = 718 ve 276 = (33)6 = 318 olacak bi\u00e7imde \u00fcsler e\u015fitlendi\u011finde 718 > 318 olur. 12 2. A\u015fa\u011f\u0131da \u00fczerindeki cisimlerin k\u00fctlesi mg cinsin- den verilen terazilerin denge konumunda oldu\u011fu 1. A\u015fa\u011f\u0131da verilen \u00fcsl\u00fc ifadeleri k\u00fc\u00e7\u00fckten b\u00fcy\u00fc\u011fe bilindi\u011fine g\u00f6re a, b, c, d harfleri yerine gelmesi do\u011fru s\u0131ralay\u0131n\u0131z. gereken say\u0131lar\u0131 bulunuz. a) 157, 153, 156 = ..................................................... a) 3a 93 b) 5\u20132, 12\u20132, 7\u20132 = .................................................... b) 165 c) 210, 47, 83 = ......................................................... 4b 27c \u00e7) 1253, 254, 6252 =................................................. c) 1 -3 81 d) 4\u20139, 8\u20133 16\u20132 = ..................................................... \u00e7) 2514 625d e) 3436, 4915, 21610 = .............................................. 54 8. S\u0131n\u0131f","Test \u00dcss\u00fcn \u00dcss\u00fc - \u00dcsl\u00fc \u0130fadelerde S\u0131ralama Uyguluyorum 11 1. 6. (23)7 121\u00b7121\u00b7121\u00b7.....\u00b7121 1444444444424042ta4n4e44444444443 \u00fcsl\u00fc ifadesinin e\u015fiti a\u015fa\u011f\u0131dakilerden hangisidir? tekrarl\u0131 \u00e7arp\u0131m\u0131 a\u015fa\u011f\u0131daki \u00fcsl\u00fc ifadelerden han- gisine e\u015fittir? A) 221 B) 214 C) 210 D) 29 A) 1110 B) 1120 C) 1140 D) 1180 2. 7. _^- 62h3i5 ifadesi a\u015fa\u011f\u0131dakilerden hangisine e\u015fit- (52)\u20134 tir? \u00fcsl\u00fc ifadesinin e\u015fiti a\u015fa\u011f\u0131dakilerden hangisidir? A) 5\u20132 B) 5\u20134 C) 5\u20136 D) 5\u20138 A) 630 B) 615 C) \u2013615 D) \u2013630 3. 8. (7\u20131)\u20132 (-24)5 (-31)9 \u00fcsl\u00fc ifadesinin de\u011feri ka\u00e7t\u0131r? (-100)-6 (-7-1)-8 A) 7\u20131 B) 70 C) 71 D) 72 Yukar\u0131daki kartonun de\u011feri negatif olan b\u00f6l\u00fcmle- ri sar\u0131ya boyand\u0131\u011f\u0131nda g\u00f6r\u00fcn\u00fcm nas\u0131l olur? A) B) 4. A\u015fa\u011f\u0131daki e\u015fitliklerden hangisi yanl\u0131\u015ft\u0131r? A) 163 = 212 B) (\u201327)2 = 36 C) 642 = 48 D) (\u2013100)3 = \u201310002 C) D) 5. A\u015fa\u011f\u0131da bir kamyondaki y\u00fck miktarlar\u0131 g\u00f6sterilmi\u015ftir. 1 125-3 kg Buna g\u00f6re kamyondaki kilogram cinsinden y\u00fck 9. A\u015fa\u011f\u0131dakilerden hangisi (812)3 ifadesinden b\u00fc- miktar\u0131 a\u015fa\u011f\u0131dakilerden hangisine e\u015fittir? y\u00fckt\u00fcr? A) 512 B) 59 A) \u2013330 B) \u2013324 C) (\u20133)24 D) (\u20133)30 C) 5\u20139 D) 5\u201312 8. S\u0131n\u0131f 55","Uyguluyorum \u00dcss\u00fcn \u00dcss\u00fc - \u00dcsl\u00fc \u0130fadelerde S\u0131ralama Test 11 10. A\u015fa\u011f\u0131dakilerden hangisi bir dikd\u00f6rtgenin uzun ve 15. (273)4=9b k\u0131sa kenar uzunluklar\u0131 olamaz? (64-3)-2=4a Uzun Kenar (cm) K\u0131sa Kenar (cm) Yukar\u0131daki kartlarda yazan e\u015fitlikleri sa\u011flayan a A) 210 29 ve b de\u011ferlerinin toplam\u0131 ka\u00e7t\u0131r? B) 37 272 C) 1253 510 A) 48 B) 40 C) 36 D) 32 D) 1006 1011 11. 5a\u20132 = 6257 16. 612 256 84 615 oldu\u011funa g\u00f6re a ka\u00e7t\u0131r? Yukar\u0131daki renkli pullar \u00fczerlerinde yazan ifade- lere g\u00f6re b\u00fcy\u00fckten k\u00fc\u00e7\u00fc\u011fe soldan sa\u011fa s\u0131ralan- A) 23 B) 25 C) 28 D) 30 d\u0131\u011f\u0131nda g\u00f6r\u00fcn\u00fcm a\u015fa\u011f\u0131dakilerden hangisi olur? A) B) 12. C) D) 49x + 1 = c 1 -4 343 m oldu\u011funa g\u00f6re x ka\u00e7t\u0131r? D) 7 17. A) 4 B) 5 C) 6 15m< 2258 13. oldu\u011funa g\u00f6re m yerine yaz\u0131labilecek en b\u00fcy\u00fck a = ^35h2 , b = ^32h7 , c = 3^23h do\u011fal say\u0131 ka\u00e7t\u0131r? A) 17 B) 16 C) 15 D) 14 ifadelerinin k\u00fc\u00e7\u00fckten b\u00fcy\u00fc\u011fe do\u011fru s\u0131ralamas\u0131 a\u015fa\u011f\u0131dakilerden hangisidir? A) c > a > b B) a > c > b 18. C) b > a > c D) b > c > a 2x = a , 3x = b , 7x = c 14. 6a = x oldu\u011funa g\u00f6re 216a ifadesinin x cinsinden oldu\u011funa g\u00f6re 252x say\u0131s\u0131n\u0131n a, b ve c cinsinden e\u015fiti a\u015fa\u011f\u0131dakilerden hangisidir? de\u011feri a\u015fa\u011f\u0131dakilerden hangisidir? A) 9x B) 3x C) x3 D) x9 A) abc B) a2bc C) a2b2c D) a2b2c2 56 8. S\u0131n\u0131f","\u00dcsl\u00fc \u0130fadelerle \u00c7arpma \u0130\u015flemi Tabanlar\u0131 Ayn\u0131 Olan \u00dcsl\u00fc \u0130fadelerle \u00c7arpma Tabanlar\u0131 ayn\u0131 olan \u00fcsl\u00fc ifadeler \u00e7arp\u0131l\u0131rken \u00fcsler toplan\u0131r, bu toplam ortak tabana \u00fcs olarak yaz\u0131l\u0131r. a \u2260 0 , m ve n tam say\u0131 olmak \u00fczere am\u00b7an = am+n\u2019dir. \u00d6rnek: \u20ba32\u00b734 = 32+4 = 36 58\u00b75\u20136 = 58+(\u20136) = 52 7\u20131\u00b77\u20132 = 7\u20131+(\u20132) = 7\u20133 13 NOT: \u00c7arpma i\u015fleminin sonucunun i\u015fareti i\u00e7in, \u00e7arp\u0131lan negatif say\u0131lar\u0131n parantezine ve kuv- 1. A\u015fa\u011f\u0131daki \u00e7arpma i\u015flemlerini yaz\u0131n\u0131z. vetin tek ya da \u00e7ift olma durumuna dikkat edi- a) 27\u00b726 = ............................................................... niz. b) 34\u00b733 = ............................................................... \u20ba (\u20135)7\u00b7(\u20135)4 = \u201357\u00b754 = \u2013511 c) 55\u00b758 = ............................................................... \u00e7) 7\u20132\u00b778 =.............................................................. i) c- 1 -5 \u00b7^0, 1h2 =............................................... d) 104\u00b710\u20131 = ........................................................... 10 e) 2\u20133\u00b72\u20134 = ............................................................ m f) 32\u00b733\u00b734 =.......................................................... g) 5\u20139\u00b756\u00b75 =.......................................................... j) c 1 \u20132 1 5 =............................................ \u011f) 7\u20137\u00b77\u20136\u00b77\u20138 = ..................................................... 2 2 h) (\u201310)2\u00b7(\u201310)4 = ................................................... m \u00b7c m \u00b72-3 \u0131) (\u20133)\u20132\u00b73\u20133 =........................................................ \ufffd2. A\u015fa\u011f\u0131da verilen e\u015fitliklerde \u201c \u201d sembol\u00fcn\u00fcn yerlerine yaz\u0131lmas\u0131 gereken say\u0131lar\u0131 bulunuz. a) 23\u00b72\ufffd = 28 \ufffd =...................... b) 3\ufffd\u00b737 = 311 \ufffd =...................... c) (\u20137)5\u00b7(\u20137)\ufffd = +7\u20132 \ufffd =...................... \u00e7) c 1 10 = 27 \ufffd =...................... 2 \ufffd =...................... m \u00b7 2\ufffd \ufffd =...................... d) 3\ufffd\u00b73\u20134 = 1 3 e) (0,1)\u20132\u00b7(0,1)\ufffd = 102 8. S\u0131n\u0131f 57","\u00dcsl\u00fc \u0130fadelerle \u00c7arpma \u0130\u015flemi \u00dcsleri Ayn\u0131 Olan \u00dcsl\u00fc \u0130fadelerle \u00c7arpma \u2022 \u00dcsleri ayn\u0131 olan \u00fcsl\u00fc ifadeler \u00e7arp\u0131l\u0131rken tabanlar \u00e7arp\u0131l\u0131r, bulunan \u00e7arp\u0131m ortak \u00fcsse taban olarak yaz\u0131l\u0131r. a \u2260 0 , b \u2260 0 ve n tam say\u0131 olmak \u00fczere an\u00b7bn = (a\u00b7b)n\u2019dir. \u00d6rnek: \u20ba 23\u00b753 = (2\u00b75)3 = 103 , 3\u20135\u00b76\u20135 = (3\u00b76)\u20135 = 18\u20135 14 NOT: Baz\u0131 \u00fcsl\u00fc ifadelerde taban \u00e7arpanlar\u0131na ayr\u0131larak \u00fcs \u00e7arpanlara \u00fcs olarak da\u011f\u0131t\u0131labilir. 1. a) 34\u00b724 =............................................................... \u00d6rnek: \u20ba 67 = (2\u00b73)7 = 27\u00b737 b) 27\u00b767 = ............................................................... 15\u20138 = (3\u00b75)\u20138 = 3\u20138\u00b75\u20138 c) 25\u00b755\u00b775 =.......................................................... \u00e7) 211\u00b7311\u00b7511 = ....................................................... 2. A\u015fa\u011f\u0131da \u00e7arp\u0131m \u015feklinde verilen \u00fcsl\u00fc ifadelerin d) 7\u20133\u00b73\u20133 = ............................................................ \u00e7arpanlar\u0131n\u0131 1\u2019den farkl\u0131 olacak \u015fekilde yukar\u0131daki e) (\u20132)6\u00b776 =........................................................... \u00f6rnekteki gibi bulunuz. f) (\u20133)5\u00b765 =........................................................... a) 108 = ................................................................... b) 14\u20139 =.................................................................. c) (\u201315)6 =............................................................... \u00e7) (\u201321)5 =............................................................... g) (\u20132)\u20139\u00b7(\u20133)\u20139\u00b75\u20139 = ............................................ NOT: 10n say\u0131s\u0131, n+1 basamakl\u0131d\u0131r. \u00d6rnek: \u20ba 28\u00b758 = 108 say\u0131s\u0131 8 + 1 = 9 basa- \u011f) c 1 -8 = ........................................................ makl\u0131d\u0131r. 3 A\u00b710n say\u0131s\u0131, A\u2019n\u0131n basamak say\u0131s\u0131 +n basamakl\u0131d\u0131r. m \u00b768 \u00d6rnek: \u20ba17\u00b71911 say\u0131s\u0131 2 + 11 = 13 basamakl\u0131d\u0131r. NOT:Hem tabanlar\u0131 hem de \u00fcsleri ayn\u0131 olan 3. 213\u00b7513 say\u0131s\u0131 ka\u00e7 basamakl\u0131d\u0131r? \u00fcsl\u00fc ifadeleri \u00e7arparken ya tabanlar\u0131 ayn\u0131 kura- l\u0131 ya da \u00fcsleri ayn\u0131 kural\u0131 uygulan\u0131r. 4. 206 say\u0131s\u0131 ka\u00e7 basamakl\u0131d\u0131r? \u00d6rnek: \u20ba 25\u00b725 = 25+5 = 210 5. 215\u00b7512 say\u0131s\u0131 ka\u00e7 basamakl\u0131d\u0131r? 25\u00b725 = (2\u00b72)5 = 45 = (22)5 = 210 58 8. S\u0131n\u0131f","\u00dcsl\u00fc \u0130fadelerle \u00c7arpma \u0130\u015flemi Tabanlar\u0131 ve \u00dcsleri Farkl\u0131 Olan \u00dcsl\u00fc \u0130fadelerle \u00c7arpma Baz\u0131 \u00fcsl\u00fc ifadelerde \u00e7arpma i\u015flemi tersten uygulanarak \u00fcsl\u00fc ifade farkl\u0131 \u015fekillerde par\u00e7alanabilir. \u00d6rnek: 511 = 56\u00b755 7\u201313 = 7\u201311\u00b77\u20132 = 57\u00b754 gibi, = 7\u201315\u00b772 gibi farkl\u0131 farkl\u0131 par\u00e7alanabilir. Tabanlar\u0131 ve \u00fcsleri farkl\u0131 olan \u00fcsl\u00fc ifadelerle \u00e7arpma i\u015flemi yap\u0131l\u0131rken \u00fcsler ya da tabanlar \u201c\u00fcss\u00fcn \u00fcss\u00fc\u201d y\u00f6ntemiyle e\u015fitlenebilir ya da yukar\u0131da a\u00e7\u0131klad\u0131\u011f\u0131m\u0131z gibi par\u00e7alama y\u00f6ntemi kullan\u0131labilir. \u00d6rnek: \u2022 25\u00b783 = 25\u00b7(23)3 = 25\u00b729 = 25+9 = 214 (\u00dcss\u00fcn \u00fcss\u00fc kullanarak taban e\u015fitledik.) \u2022 26\u00b758 = 26\u00b756\u00b752 = (2\u00b75)6\u00b752 = 106\u00b752 = 25\u00b7106 (58 \u00fcsl\u00fc ifadesine par\u00e7alama y\u00f6ntemini kulland\u0131k.) 56\u00b752 15 2. A\u015fa\u011f\u0131daki \u00e7arpma i\u015flemlerini \u00fcsleri e\u015fitleyerek yap\u0131n\u0131z. 1. A\u015fa\u011f\u0131daki \u00e7arpma i\u015flemlerini tabanlar\u0131 e\u015fitleye- a) 26\u00b793 = ............................................................... rek yap\u0131n\u0131z. a) 24\u00b743 = ............................................................... b) 45\u00b7310 = .............................................................. b) 85\u00b722 = ............................................................... c) 10\u20139\u00b71000\u20133 = ..................................................... c) 4\u20133\u00b716\u20134 =........................................................... \u00e7) 37\u00b758 = ............................................................... \u00e7) 5\u20131\u00b7125\u20132\u00b7253 = ................................................. d) 210\u00b7712 = ............................................................. e) 276\u00b7518 = ............................................................ d) 494 \u00b7 1 = .......................................................... 73 e) (\u201327)3\u00b7(\u2013243)2 = ................................................ f) 1 \u00b72432 = ...................................................... f) 1 \u00b7 1 =.................................................... 495 362 216-3 g) 6253\u00b7274\u00b715\u201312 = ............................................... 8. S\u0131n\u0131f 59","Uyguluyorum \u00dcsl\u00fc \u0130fadelerle \u00c7arpma \u0130\u015flemi Test 12 1. 6. 27\u00b726 A\u20133\u00b72\u20133\u00b75\u20133 = 70\u20133 D) 7 i\u015fleminin sonucu ka\u00e7t\u0131r? oldu\u011funa g\u00f6re A ka\u00e7t\u0131r? A) 2 B) 3 C) 5 A) 242 B) 230 C) 213 D) 29 2. 7. 1 -4 59\u00b75\u20134 9 m 81-5 \u00b7c- i\u015fleminin sonucu ka\u00e7t\u0131r? A) 5\u201336 B) 5\u201313 C) 53 D) 55 i\u015fleminin sonucu ka\u00e7t\u0131r? A) 3\u201324 B) 3\u201320 C) 3\u201316 D) 3\u201312 3. 8. A\u015fa\u011f\u0131da g\u00f6sterilen dikd\u00f6rtgen \u015feklindeki kartlar- \u2022 58 38 dan hangisinin alan\u0131 en fazlad\u0131r? 108 \u201378 A) 27 br B) 28 br A\u015fa\u011f\u0131dakilerden hangisi yukar\u0131daki \u00e7arpma tab- 23 br 24 br losunda bo\u015f b\u0131rak\u0131lan kutucuklardan birine yaz\u0131- labilecek sonu\u00e7lardan biri de\u011fildir? A) \u2013358 B) \u2013218 C) 218 D) 308 C) 24 br D) 26 br 27 br 24 br 4. (\u20133)15\u00b71255 i\u015fleminin sonucu ka\u00e7t\u0131r? 9. 493 say\u0131s\u0131 a\u015fa\u011f\u0131dakilerden hangisi ile \u00e7arp\u0131ld\u0131\u011f\u0131n- da sonu\u00e7 do\u011fal say\u0131 olur? A) \u20131515 B) \u2013515 C) 55 D) 155 A) 7\u201318 B) 7\u201312 C) 7\u20139 D) 7\u20136 5. 16\u20139 \u00fcsl\u00fc ifadesi a\u015fa\u011f\u0131daki kartlarda yazan i\u015flem- 10. lerden hangisinin sonucuna e\u015fittir? 272\u00b79a\u20132 = 34 A) B) oldu\u011funa g\u00f6re a ka\u00e7t\u0131r? A) 2 B) 1 C) 0 4\u20132\u00b72\u20136 2\u201318\u00b72\u201318 C) D) D) \u20131 2\u20133\u00b74\u20134 16\u20132\u00b72\u201316 60 8. S\u0131n\u0131f","Test \u00dcsl\u00fc \u0130fadelerle \u00c7arpma \u0130\u015flemi Uyguluyorum 12 11. 45 say\u0131s\u0131n\u0131n 4\u201315 kat\u0131 a\u015fa\u011f\u0131dakilerden hangisine 15. m = 2\u00b71020 ve n = 5\u00b71010 e\u015fittir? 1 1 1 1 oldu\u011funa g\u00f6re m\u00b7n i\u015fleminin sonucu ka\u00e7 basa- A) 220 B) 210 C) 2-10 D) 2-20 makl\u0131 bir say\u0131d\u0131r? A) 30 B) 31 C) 32 D) 33 12. K\u00b7108 say\u0131s\u0131 11 basamakl\u0131 bir say\u0131 oldu\u011funa g\u00f6re 16. Bir fabrikada \u00fcretilen tokalar her birinde 272 adet K a\u015fa\u011f\u0131dakilerden hangisi olabilir? toka bulunan 729 adet kutuya yerle\u015ftiriliyor. A) 32 B) 33 C) 34 D) 35 Her bir kutu 35 TL\u2019den sat\u0131ld\u0131\u011f\u0131na g\u00f6re, tokalar\u0131n tamam\u0131 sat\u0131ld\u0131\u011f\u0131nda ka\u00e7 lira gelir elde edilir? A) 317 B)316 C) 315 D) 314 13. A\u015fa\u011f\u0131da bir tanesinin k\u00fctlesi verilen bo\u015f ka\u011f\u0131tlar\u0131n bir 17. paketinin k\u00fctlesi \u00f6l\u00e7\u00fcl\u00fcyor. 10-1 br 25-1g Ka\u011f\u0131t Paket 100 br 625 adet ? Yukar\u0131da g\u00f6sterilen paralelkenar \u015feklindeki kar- tonun bir y\u00fcz\u00fcn\u00fcn alan\u0131 ka\u00e7 birimkaredir? Buna g\u00f6re terazide gram cinsinden yazmas\u0131 ge- A) 1 B) 10 C) 100 D) 1000 reken de\u011fer ka\u00e7t\u0131r? A) 50 B) 51 C) 52 D) 53 18. 611 = a oldu\u011funa g\u00f6re 613 ifadesinin a cinsinden de\u011feri ka\u00e7t\u0131r? A) 6a B) 36a C) 216a D) 256a 14. 8x+1 + 8x+1 + 8x+1 + 8x+1 = 229 oldu\u011funa g\u00f6re x ka\u00e7t\u0131r? 19. 1 kilogram unun tamam\u0131yla e\u015fit b\u00fcy\u00fckl\u00fckte 8 simit A) 6 B) 7 C) 8 yap\u0131lmaktad\u0131r. D) 9 256 kilogram unun tamam\u0131yla ayn\u0131 simitlerden ka\u00e7 tane yap\u0131l\u0131r? A) 214 B) 213 C) 212 D) 211 8. S\u0131n\u0131f 61","\u00dcsl\u00fc \u0130fadelerle B\u00f6lme \u0130\u015flemi Tabanlar\u0131 Ayn\u0131 Olan \u00dcsl\u00fc \u0130fadelerle B\u00f6lme Tabanlar\u0131 ayn\u0131 olan \u00fcsl\u00fc ifadeler b\u00f6l\u00fcn\u00fcrken pay\u0131n \u00fcss\u00fcnden paydan\u0131n \u00fcss\u00fc \u00e7\u0131kar\u0131l\u0131r, bu fark ortak tabana \u00fcs olarak yaz\u0131l\u0131r. a \u2260 0 ve m ve n tam say\u0131 olmak \u00fczere am : an = am\u2013n\u2019dir. \u00d6rnek: \u20ba 58 = 58-2 = 56 79 : 7\u20134 = 79\u2013(\u20134) = 713 10\u20136 : 102 = 10\u20136 = 10\u20136\u20132 = 10\u20138 52 16 3. A\u015fa\u011f\u0131daki e\u015fitliklerde harflerin yerine yaz\u0131lmas\u0131 gereken say\u0131lar\u0131 bulunuz. 1. A\u015fa\u011f\u0131daki b\u00f6lme i\u015flemlerini yap\u0131n\u0131z. a) 29 = .................................................................. a) 57 = 55 a =...................... 24 5a b) 313 = ................................................................. 36 c) 57 = .................................................................. b) 7b = 7-2 b =...................... 59 75 \u00e7) 10-8 =................................................................ c) 10-5 = 10-9 10 10c c =...................... d) 5\u20138 : 5\u20132 =............................................................ e) 7-3 : 1 =........................................................... \u00e7) 6d + 1 = 64 d =...................... 7-1 6-5 e =...................... x =...................... f) 1 1 = ....................................................... : 102 10-5 23 d) =2 2. A\u015fa\u011f\u0131daki i\u015flemlerin sonu\u00e7lar\u0131n\u0131 bulunuz. 2e - 2 a) 25 \u00b727 = ............................................................ 23 b) 7-4 \u00b77-12 =......................................................... e) 35 \u00b73x + 1 = 37 7-9 3-1 62 8. S\u0131n\u0131f","\u00dcsl\u00fc \u0130fadelerle B\u00f6lme \u0130\u015flemi \u00dcsleri Ayn\u0131 Olan \u00dcsl\u00fc \u0130fadelerle B\u00f6lme \u00dcsleri ayn\u0131 olan \u00fcsl\u00fc ifadeler b\u00f6l\u00fcn\u00fcrken tabanlar b\u00f6l\u00fcn\u00fcr, bulunan sonu\u00e7 ortak \u00fcsse taban olarak yaz\u0131l\u0131r. a \u2260 0, b \u2260 0 ve n tam say\u0131 olmak \u00fczere an : bn = (a : b)n\u2019dir. \u00d6rnek: \u20ba 185 = c 18 5 = 35 42\u20138 : 3\u20138 = (42 : 3)\u20138 = 14\u20138 65 6 m 17 3. A\u015fa\u011f\u0131daki e\u015fitliklerde harflerin yerine yaz\u0131lmas\u0131 gereken say\u0131lar\u0131 bulunuz. 1. A\u015fa\u011f\u0131da verilen i\u015flemleri yap\u0131n\u0131z. a) 67 = .................................................................. a) 104 = 54 37 A4 A =...................... b) 1011 = ................................................................ 211 c) 21-3 =................................................................ b) 153 = 33 B =...................... 7-3 B3 \u00e7) 50-6 = ............................................................... 5-6 d) (\u201333)\u20137 : (\u20133)\u20137 =................................................. c) C-6 = 6-6 C =...................... 2-6 e) (\u201336)3 : (\u20136)3 =.................................................... 2. A\u015fa\u011f\u0131da verilen i\u015flemleri yap\u0131n\u0131z. \u00e7) D5 = 115 D =...................... a) 37 \u00b7107 =........................................................... 75 F =...................... 57 Y =...................... b) 425 = ............................................................ 1012 = 3-12 25 \u00b735 F12 d) c) 337 \u00b7185 =......................................................... 117 \u00b735 \u00e7) 428 \u00b737 = .......................................................... e) 7-3 \u00b7Y-3 = 14-3 187 \u00b778 5-3 d) 50-8 :10-8 = ....................................................... 305 : 65 8. S\u0131n\u0131f 63","\u00dcsl\u00fc \u0130fadelerle B\u00f6lme \u0130\u015flemi Tabanlar\u0131 ve \u00dcsleri Farkl\u0131 Olan \u00dcsl\u00fc \u0130fadelerle B\u00f6lme Tabanlar\u0131 ve \u00fcsleri farkl\u0131 olan \u00fcsl\u00fc ifadelerde b\u00f6lme i\u015flemi yap\u0131l\u0131rken, tabanlar\u0131n veya \u00fcslerin e\u015fitlenmesi gerekir. Bunun i\u00e7in \u00fcss\u00fcn \u00fcss\u00fc yard\u0131m\u0131yla taban de\u011fi\u015ftirme y\u00f6ntemi kullan\u0131labilir. \u00d6rnek: \u20ba 275 = ^33h5 = 315 = 315 -^-2h = 317 (Taban\u0131 \u00fcss\u00fcn \u00fcss\u00fc yard\u0131m\u0131yla de\u011fi\u015ftirdi\u011fimizde tabanlar\u0131 e\u015fitledik.) 3-2 3-2 3-2 \u20ba 365 = ^62h5 = 610 = c 6 10 = 310 (Taban\u0131 \u00fcss\u00fcn \u00fcss\u00fc yard\u0131m\u0131yla de\u011fi\u015ftirdi\u011fimizde \u00fcsleri e\u015fitledik.) 210 210 210 2 m 18 NOT: Bir rasyonel say\u0131n\u0131n \u00fcss\u00fc, hem pay\u0131n hem de paydan\u0131n \u00fcss\u00fc olarak ayr\u0131 ayr\u0131 yaz\u0131l\u0131r. 1. A\u015fa\u011f\u0131daki b\u00f6lme i\u015flemlerini yap\u0131n\u0131z. a, b (b \u2260 0) ve n tam say\u0131 olmak \u00fczere a) 83 = .................................................................. 24 a n an b b l = bn \u2019dir. b) 315 = ................................................................ 272 2. A\u015fa\u011f\u0131daki e\u015fitliklerde harfler yerine yaz\u0131lmas\u0131 ge- reken say\u0131lar\u0131 bulunuz. a) 12 8 128 = a =...................... c7m = 7a c) 57 = ................................................................ 254 b) 1 -4 34 = c =...................... c3m = 1c \u00e7) 4-9 =................................................................ 16-3 1006 c) 24 d = d =...................... 84 c5m = 625 = ............................................................... d) e) 3610 = ............................................................... \u00e7) 9 -5 3e = e =...................... 165 c4m = 2e f) 8-4 = ................................................................. d) c 21 -19 = 1 y =...................... 26 3 y19 m 64 8. S\u0131n\u0131f","\u00dcsl\u00fc \u0130fadelerle \u0130\u015flemler 3. A\u015fa\u011f\u0131daki \u015fekillerde bo\u015f b\u0131rak\u0131lan karelere yaz\u0131l- 5. A\u015fa\u011f\u0131daki i\u015flemlerin sonu\u00e7lar\u0131n\u0131 bulunuz. mas\u0131 gereken say\u0131lar\u0131 bulunuz. 16\u00b725 : 8 a) 23 b) (\u20139)3 a) = 23 \u00b764 \u2022\u2022 87 + 87 + 87 + 87 + 87 + 87 + 87 + 87 = 1 b) 25 + 25 + 25 + 25 2 36 c) 4\u201312 \u00e7) 1 c) f 272 \u00b73-5 p: 81 = 10 9-1 \u2022 \u2022 125-2 25-4 \u00b756 16\u20134 6252 1252 10\u20133 \u00e7) f p:f p = 4. A\u015fa\u011f\u0131da \u00e7evre uzunluklar\u0131 verilen karelerin ve 6. A\u015fa\u011f\u0131daki problemlerin sonu\u00e7lar\u0131n\u0131 bulunuz. alan\u0131 verilen dikd\u00f6rtgenlerin istenen kenar uzun- a) 212 say\u0131s\u0131n\u0131n yar\u0131s\u0131 ka\u00e7t\u0131r? luklar\u0131n\u0131 birim cinsinden bulunuz. b) 48 say\u0131s\u0131n\u0131n \u00e7eyre\u011fi ka\u00e7t\u0131r? a) ? b) \u00c7evre \u00c7evre ? 214 br 4-8 br c) \u00e7) c) \u00c7evre uzunlu\u011fu 643 br olan karenin alan\u0131 ka\u00e7 bi- Alan 25-10 br rimkaredir? 815 br2 Alan 274 br ? ? 1010 br2 d) 1024 adet portakal\u0131 her biri 26 adet portakal alan kasalara yerle\u015ftirmek i\u00e7in en az ka\u00e7 kasaya ihti- ya\u00e7 vard\u0131r? 8. S\u0131n\u0131f 65","Uyguluyorum \u00dcsl\u00fc \u0130fadelerle B\u00f6lme \u0130\u015flemi Test 13 1. 37 6. 32 = \u0130\u00e7ine yaz\u0131lan say\u0131n\u0131n 100 kat\u0131n\u0131 hesaplar i\u015fleminin sonucu ka\u00e7t\u0131r? = \u0130\u00e7ine yaz\u0131lan say\u0131n\u0131n 1000 kat\u0131n\u0131 hesaplar A) 314 B) 311 C) 35 D) 33 Buna g\u00f6re; 2. 10\u20135 : 106 i\u015fleminin sonucu ka\u00e7t\u0131r? 10-5 : 10-10 A) 10\u201311 B) 10\u20131 C) 101 D) 1011 3. (\u201325)6 \u00fcsl\u00fc ifadesinin 5\u20136 \u00fcsl\u00fc ifadesine oran\u0131 i\u015fleminin sonucu ka\u00e7t\u0131r? ka\u00e7t\u0131r? A) 10\u20136 B) 10\u20132 C) 102 D) 106 A) 50 B) 56 C) 512 D) 518 4. 7. Karesi 310 olan say\u0131n\u0131n (\u20133). kuvveti ka\u00e7t\u0131r? 28 = 22 82 9-6 = 3-11 A) 3\u20135 B) 3\u201310 C) 3\u201315 D) 3\u201320 35 6-2 =1 1015 = 100 8. a = \u20132 ve b = \u20133 oldu\u011funa g\u00f6re a2 \u00b7b3 i\u015fleminin 36-1 1013 sonucu ka\u00e7t\u0131r? a-1 Yukar\u0131daki etiketlerden hangisi y\u0131rt\u0131ld\u0131\u011f\u0131nda ka- A) 64 B) 63 C) 62 D) 61 lan t\u00fcm etiketlerde yazan e\u015fitlikler do\u011fru olur? A) K\u0131rm\u0131z\u0131 B) Mavi C) Sar\u0131 D) Ye\u015fil 9. 2110 3-5 \u00b77-5 5. 9\u20133\u2019\u00fcn (\u20133)\u20136 ya b\u00f6l\u00fcm\u00fc ka\u00e7t\u0131r? i\u015fleminin sonucu ka\u00e7t\u0131r? A) \u20133 B) \u20131 C) 1 D) 3 A) 215 B) 3\u00b7215 C) 2115 D) 7\u00b72115 66 8. S\u0131n\u0131f","Test \u00dcsl\u00fc \u0130fadelerle B\u00f6lme \u0130\u015flemi Uyguluyorum 13 10. A\u015fa\u011f\u0131da bir ipin uzunlu\u011fu verilmi\u015ftir. 15. a = 16\u00b7105 ve b = 2\u00b710\u20134 oldu\u011funa g\u00f6re a i\u015fle- 154 br minin sonucu ka\u00e7t\u0131r? b2 A) 4\u00b7103 B) 2\u00b7108 C) 2\u00b71011 D) 4\u00b71013 Bu ipin tamam\u0131 uzunlu\u011fu 252 br olan e\u015f par\u00e7alara ayr\u0131ld\u0131\u011f\u0131nda ka\u00e7 par\u00e7a elde edilmi\u015f olur? A) 34 B) 36 C) 54 D) 56 16. 63 \u00b7213 \u00b75-2 23 \u00b75-12 11. 520 \u00fcsl\u00fc ifadesinin %20\u2019si ka\u00e7t\u0131r? i\u015fleminin sonucu ka\u00e7 basamakl\u0131 bir say\u0131d\u0131r? A) 120 B) 54 C) 515 D) 519 A) 11 B) 12 C) 13 D) 14 12. A\u015fa\u011f\u0131daki \u00fcsl\u00fc ifadelerden hangisinin 1 17. 25 \u2019i 125\u20134\u2019e e\u015fittir? A) 5\u201310 B) 5\u201312 C) 5\u201314 D) 5\u201316 1 -3 8 br 162 br 13. 17x+3 say\u0131s\u0131 17x\u20132 say\u0131s\u0131n\u0131n ka\u00e7 kat\u0131d\u0131r? Yukar\u0131daki \u00fc\u00e7genin alan\u0131 ka\u00e7 birimkaredir? A) 176 B) 175 C) 174 D) 173 A) 219 B) 218 C) 217 D) 216 14. 312 adet f\u0131nd\u0131k 27 ki\u015fiye e\u015fit olarak payla\u015ft\u0131r\u0131l\u0131yor. Bu 18. A\u015fa\u011f\u0131daki i\u015flemlerden hangisinin sonucu en b\u00fc- ki\u015filerden biri kendine d\u00fc\u015fen pay\u0131n tamam\u0131n\u0131 her pa- kette 9 f\u0131nd\u0131k olacak \u015fekilde paketliyor. y\u00fckt\u00fcr? 100-2 \u00b71000-2 10-3 \u00b710-1 B) 106 Buna g\u00f6re bu i\u015f i\u00e7in en az ka\u00e7 pakete ihtiya\u00e7 var- d\u0131r? A) 1002 A) 35 B) 36 C) 37 D) 38 100-3 \u00b710-1 1006 \u00b710-6 C) 100-4 D) 103 8. S\u0131n\u0131f 67","Ba\u015far\u0131yorum \u00dcsl\u00fc \u0130fadelerle \u0130lgili Temel Kurallar Test 14 1. Bir kenar uzunlu\u011fu 165 mm olan kare \u015feklindeki levhan\u0131n \u00f6n y\u00fcz\u00fc 4 e\u015f par\u00e7aya, arka y\u00fcz\u00fc ise 16 e\u015f par\u00e7aya ay- r\u0131lm\u0131\u015ft\u0131r. Bu levhan\u0131n \u00f6n ve arka y\u00fcz\u00fcndeki baz\u0131 par\u00e7alar s\u0131ras\u0131yla \u015eekil 1 ve \u015eekil 2\u2019deki gibi maviye boyanm\u0131\u015ft\u0131r. \u015eekil-1 \u015eekil-2 Buna g\u00f6re \u015eekil 1\u2019deki maviye boyanm\u0131\u015f b\u00f6lgelerin \u00e7evre uzunluklar\u0131 toplam\u0131n\u0131n \u015eekil 2\u2019deki maviye boyan- m\u0131\u015f b\u00f6lgelerin \u00e7evre uzunluklar\u0131 toplam\u0131na oran\u0131 a\u015fa\u011f\u0131dakilerden hangisidir? A) 2\u20131 B) 1 C) 2 D) 22 2. a \u2260 0, b \u2260 0 ve m, n birer tam say\u0131 olmak \u00fczere (an)m = an\u00b7m , an\u00b7am = an+m ve am = am - n \u2019dir. an A\u015fa\u011f\u0131da baz\u0131 \u015fekiller ve bu \u015fekillerin ifade etti\u011fi i\u015flemler verilmi\u015ftir. : i\u00e7ine yaz\u0131lan say\u0131n\u0131n karesini al\u0131r : i\u00e7ine yaz\u0131lan say\u0131n\u0131n k\u00fcp\u00fcn\u00fc al\u0131r \u00d6rnek: 7 \u00a1 72 = 49 2 \u00a1 23 = 8 Buna g\u00f6re 625 i\u015fleminin sonucu ka\u00e7 basamakl\u0131d\u0131r? A) 9 8-2 B) 10 C) 11 D) 12 68 8. S\u0131n\u0131f","Test \u00dcsl\u00fc \u0130fadelerle \u0130lgili Temel Kurallar Ba\u015far\u0131yorum 14 3. Bir kuruyemi\u015f d\u00fckkan\u0131nda sat\u0131lan f\u0131st\u0131k, badem ve cevizin birer kilogramlar\u0131n\u0131n fiyatlar\u0131 a\u015fa\u011f\u0131da verilmi\u015ftir. 2 aTL 2 bTL 2 cTL F\u0131st\u0131k Badem Ceviz Kamil Bey bu kuruyemi\u015flerden 500 g f\u0131st\u0131k, 125 g badem, 250 g ceviz alm\u0131\u015ft\u0131r. Kamil Bey\u2019in ald\u0131\u011f\u0131 kuruyemi\u015flerin her birine \u00f6dedi\u011fi \u00fccret birbirine e\u015fittir. Kamil Bey\u2019in ald\u0131\u011f\u0131 kuruyemi\u015f i\u00e7in \u00f6dedi\u011fi toplam \u00fccret 96 TL oldu\u011funa g\u00f6re, a + b + c toplam\u0131 a\u015fa\u011f\u0131daki- lerden hangisidir? A) 18 B) 19 C) 20 D) 21 4. K\u0131rm\u0131z\u0131, sar\u0131 ve mavi renkler ana renklerdir. Di\u011fer t\u00fcm renkler ana renkler olan sar\u0131, k\u0131rm\u0131z\u0131 ve mavinin kar\u0131\u015ft\u0131r\u0131lma- s\u0131yla olu\u015fur ve ara renkler olarak adland\u0131r\u0131l\u0131r. A\u015fa\u011f\u0131daki renkli kartlar\u0131n \u00fczerlerinde birer \u00fcsl\u00fc ifade yaz\u0131l\u0131d\u0131r. 68 1 6-3 65 1 64 6-1 6-6 Ana renk kartlarda yazan \u00fcsl\u00fc ifadelerin her birinin, ara renk kartlarda yazan \u00fcsl\u00fc ifadelerin her birine oran\u0131 hesap- lan\u0131yor. Buna g\u00f6re hesaplanan oran en fazla ka\u00e7t\u0131r? A) 614 B) 612 C) 610 D) 69 8. S\u0131n\u0131f 69","Ba\u015far\u0131yorum \u00dcsl\u00fc \u0130fadelerle \u0130lgili Temel Kurallar Test 15 1. a \u2260 0, m ve n birer tam say\u0131 olmak \u00fczere (am)n = am\u00b7n , am\u00b7an = am+n\u2019dir. Kare bi\u00e7imindeki bir karton 25 e\u015f kareye b\u00f6l\u00fcn\u00fcp bu karelerden 4 tanesi a\u015fa\u011f\u0131daki gibi boyanm\u0131\u015ft\u0131r. Yukar\u0131 Sol Sa\u011f A\u015fa\u011f\u0131 Bu karelerin her birine a\u015fa\u011f\u0131da verilen i\u015flem ad\u0131mlar\u0131na g\u00f6re birer \u00fcsl\u00fc ifade yaz\u0131lacakt\u0131r. 1. ad\u0131m : Sar\u0131 renkli karenin i\u00e7ine bir \u00fcsl\u00fc ifade yaz\u0131n. 2. ad\u0131m : 1. sat\u0131rdaki karelerin her birine, tabanlar\u0131 birbirine e\u015fit ve kuvvetleri soldan sa\u011fa do\u011fru azalan ard\u0131\u015f\u0131k do\u011fal say\u0131lar olacak \u015fekilde birer \u00fcsl\u00fc ifade yaz\u0131n. 3. ad\u0131m : Di\u011fer karelerin her birine, her s\u00fctunda kuvvetleri birbirine e\u015fit ve tabanlar\u0131 yukar\u0131dan a\u015fa\u011f\u0131ya do\u011fru azalan ard\u0131\u015f\u0131k do\u011fal say\u0131lar olacak \u015fekilde birer \u00fcsl\u00fc ifade yaz\u0131n. Buna g\u00f6re sar\u0131 renkli karenin i\u00e7ine 814 yaz\u0131lmas\u0131 durumunda mavi renkli karelerin i\u00e7ine yaz\u0131lmas\u0131 gereken \u00fcsl\u00fc ifadelerin \u00e7arp\u0131m\u0131n\u0131n sonucu a\u015fa\u011f\u0131dakilerden hangisine e\u015fit olur? A) 6413 B) 3215 C) 1617 D) 438 2. a \u2260 0, b \u2260 0 ve k, m, n birer tam say\u0131 olmak \u00fczere an\u00b7am = an+m, (an)m = an\u00b7m, ak\u00b7bk = (a\u00b7b)k ve ak ak bk = b b l \u2019dir. K\u0131sa kenar uzunluklar\u0131 92 mm olan \u00fc\u00e7 dikd\u00f6rtgensel b\u00f6lge k\u0131sa kenarlar\u0131 do\u011frusal, 92 mm uzun kenarlar\u0131 \u00e7ak\u0131\u015f\u0131k olacak \u015fekilde yerle\u015ftirilerek yandaki desen elde edilmi\u015ftir. 92 mm 92 mm Bu desen aralar\u0131nda bo\u015fluk kalmayacak \u015fekilde AB do\u011fru par\u00e7as\u0131 boyunca \u00e7izilerek bir duvar s\u00fcs\u00fc olu\u015fturulmu\u015ftur. AB AB do\u011fru par\u00e7as\u0131n\u0131n uzunlu\u011fu 125 mm oldu\u011funa g\u00f6re bu duvar s\u00fcs\u00fc olu\u015fturulurken ba\u015flang\u0131\u00e7ta verilen desenden ka\u00e7 adet kullan\u0131lm\u0131\u015ft\u0131r? A) 128 B) 256 C) 512 D) 1024 70 8. S\u0131n\u0131f","Test \u00dcsl\u00fc \u0130fadelerle \u0130lgili Temel Kurallar Ba\u015far\u0131yorum 15 3. Bir bask\u0131 merkezinde bulunan A ve B marka bask\u0131 makinelerinin ne kadar zamanda ka\u00e7 adet bask\u0131 yapt\u0131\u011f\u0131 ile ilgili bilgiler a\u015fa\u011f\u0131da verilmi\u015ftir. A B 30 dk 15 dk 512 Adet 128 Adet Buna g\u00f6re her iki makine hi\u00e7 ara vermeden 8 saat boyunca \u00e7al\u0131\u015ft\u0131\u011f\u0131nda, A makinesinin yapt\u0131\u011f\u0131 bask\u0131 say\u0131s\u0131 ile B makinesinin yapt\u0131\u011f\u0131 bask\u0131 say\u0131s\u0131 aras\u0131ndaki fark ka\u00e7 olur? A) 45 B) 84 C) 164 D) 322 4. a \u2260 0, ve m, n tam say\u0131 olmak \u00fczere an\u00b7am = an+m ve am = am - n \u2019dir. an Bir kereste fabrikas\u0131nda, kal\u0131nl\u0131klar\u0131 farkl\u0131, geni\u015flik ve boylar\u0131 ayn\u0131 olan A ve B tipi tahtalar \u00fcretilmektedir. 2-2 dm 3-2 dm A tipi tahta B tipi tahta A tipi tahtalar d\u00f6rderli, B tipi tahtalar dokuzarl\u0131 olarak kal\u0131nl\u0131\u011f\u0131 \u00f6nemsiz bir bant yard\u0131m\u0131 ile paketlenmektedir. B tipi tahta paketleri bir depoya yan yana \u00fc\u00e7 s\u0131ra halinde tavana kadar aralar\u0131nda bo\u015fluk kalmadan \u015fekildeki gibi yerle\u015fti- rildi\u011finde depodaki B tipi tahta say\u0131s\u0131 812 olmaktad\u0131r. Tavan . .. . .. . .. Buna g\u00f6re bu depoya ayn\u0131 \u015fekilde yerle\u015ftirilecek A tipi tahta paketi say\u0131s\u0131 en fazla ka\u00e7t\u0131r? A) 35 B) 36 C) 37 D) 38 8. S\u0131n\u0131f 71","Ba\u015far\u0131yorum \u00dcsl\u00fc \u0130fadelerle \u0130lgili Temel Kurallar Test 15 5. A\u015fa\u011f\u0131da en fazla 94 gram a\u011f\u0131rl\u0131\u011f\u0131 tartan bir terazi ve g\u00f6stergesi verilmi\u015ftir. Bu terazinin ibresi e\u015f aral\u0131kl\u0131 10 noktay\u0131 gezerek \u00fczerine konulan cismin a\u011f\u0131rl\u0131\u011f\u0131na uygun konuma gelmektedir. Tart\u0131 \u00fczerine konulan paketin a\u011f\u0131rl\u0131\u011f\u0131 g\u00f6rseldeki gibidir. Paketin A\u011f\u0131rl\u0131\u011f\u0131 (kg) Fiyat\u0131 (TL) 2 kg\u2019dan az 40 60 2-4 kg (4 kg d\u00e2hil de\u011fildir.) 70 4-6 kg 75 6 kg\u2019dan fazla Tabloda ise bu paketin g\u00f6nderilece\u011fi kargo \u015firketinin paketlerin a\u011f\u0131rl\u0131\u011f\u0131na g\u00f6re belirledi\u011fi fiyat tarifesi verilmi\u015ftir. Buna g\u00f6re bu paketin kargo \u00fccreti ka\u00e7 TL\u2019dir? A) 40 B) 60 C) 70 D) 75 6. 7. A\u015fa\u011f\u0131da Ahmet\u2019in kulland\u0131\u011f\u0131 u\u00e7 ile ilgili bilgiler veril- mi\u015ftir. I. deney t\u00fcp\u00fc II. deney t\u00fcp\u00fc \u2022 Bir kutu u\u00e7 10 TL\u2019dir. \u2022 Bir adet u\u00e7 90 mm uzunlu\u011fundad\u0131r. \u2022 Bir kutuda 27 adet u\u00e7 vard\u0131r. \t Laboratuvar\tortam\u0131ndaki\tiki\tfarkl\u0131\tdeney\tt\u00fcp\u00fcnden\tI.\t \u2022 Ahmet, her 1 cm\u2019lik u\u00e7 ile 9 adet ayn\u0131 kelimeden sinde\t82,\tII.\tsinde\t166\tbakteri\tbulunmaktad\u0131r. yazabilmektedir. \t Bir\tsaat\tsonunda\tI.\tt\u00fcpteki\tbakteri\tsay\u0131s\u0131\t16\tkat\u0131na,\tII.\t \u2022 35 sayfal\u0131k defterinin her sayfas\u0131na e\u015fit say\u0131da t\u00fcpteki\tbakteri\tsay\u0131s\u0131\t4\tkat\u0131na\t\u00e7\u0131km\u0131\u015ft\u0131r. ayn\u0131 kelimeden 81 adet kelime yazm\u0131\u015ft\u0131r. Buna g\u00f6re uygun ko\u015fullarda ka\u00e7 saat sonunda iki deney t\u00fcp\u00fcnde bulunan bakteri say\u0131lar\u0131 birbirine Buna g\u00f6re, Ahmet\u2019in bu defteri belirtilen ko\u015fulla- e\u015fit olur? ra uygun yazmak i\u00e7in u\u00e7 kutular\u0131na en az ka\u00e7 TL \u00f6demesi gerekir? A) 9 B) 8 C) 7 D) 6 A) 30 B) 60 C) 90 D) 120 72 8. S\u0131n\u0131f","Test \u00dcsl\u00fc \u0130fadelerle \u0130lgili Temel Kurallar Ba\u015far\u0131yorum 15 8. A\u015fa\u011f\u0131da verilen bir su deposundan bo\u015falt\u0131lan su, her noktada su borular\u0131na e\u015fit olarak da\u011f\u0131t\u0131l\u0131yor. \t Bu\tsu\tdeposundan\tbir\tayda\ttoplam\t86\tlitre\tsu,\ther\tbir\teve\te\u015fit\tmiktarda\tda\u011f\u0131t\u0131l\u0131yor.\tSuyun\tlitre\tfiyat\u0131\t22\tTL\u2019dir. Faturada sabit \u00fccret olmad\u0131\u011f\u0131na g\u00f6re, bir evin ayl\u0131k su faturas\u0131 ka\u00e7 TL\u2019dir? A) 45 B) 212 C) 47 D) 216 9. A\u015fa\u011f\u0131da verilen birbirine e\u015f kare \u015feklindeki kartlardan biri 27 e\u015f s\u00fctuna, di\u011feri 81 e\u015f sat\u0131ra b\u00f6l\u00fcnm\u00fc\u015f olup sat\u0131r ve s\u00fctunlardan bir k\u0131sm\u0131 boyanm\u0131\u015ft\u0131r. 96 milimetre 27 adet s\u00fctun 81 adet sat\u0131r \u015eekil 1 \u015eekil 2 \u015eekil 1\u2019deki e\u015f kartlar al\u0131n\u0131p birbiriyle \u00e7ak\u0131\u015facak bi\u00e7imde \u015eekil 2\u2019deki konuma getirildi\u011finde mavi ve sar\u0131 b\u00f6lgenin kesi\u015fim b\u00f6lgesi ye\u015fil renge d\u00f6n\u00fc\u015fm\u00fc\u015ft\u00fcr. Buna g\u00f6re, ye\u015fil b\u00f6lgenin alan\u0131 milimetrekare cinsinden a\u015fa\u011f\u0131dakilerden hangisidir? A) 311 B) 315 C) 317 D) 319 8. S\u0131n\u0131f 73","Ondal\u0131k G\u00f6sterimleri Verilen Say\u0131lar\u0131n \u00c7\u00f6z\u00fcmlemesi Ondal\u0131k g\u00f6sterimi verilen bir say\u0131y\u0131, basamak de\u011ferlerinin toplam\u0131 \u015feklinde yazmaya \u00e7\u00f6z\u00fcmleme denir. abc,def Y\u00fczler Basama\u011f\u0131 Binde Birler Basama\u011f\u0131 Onlar Basama\u011f\u0131 Y\u00fczde Birler Basama\u011f\u0131 Birler Basama\u011f\u0131 Onda Birler Basama\u011f\u0131 abc, def = a\u00b7102 + b\u00b7101 + c\u00b7100 + d\u00b710\u20131 + e\u00b710\u20132 + f\u00b710\u20133 Tam K\u0131s\u0131m Ondal\u0131k K\u0131s\u0131m \u00d6rnek: 235,418 ondal\u0131k g\u00f6sterimini \u00e7\u00f6z\u00fcmleyelim. 235,418 = 200 + 30 + 5 + 0,4 + 0,01 + 0,008 11 1 = 2\u00b7100 + 3\u00b710 + 5\u00b71 + 4\u00b7 10 + 1\u00b7 100 + 8\u00b7 1000 = 2\u00b7102 + 3\u00b7101 + 5\u00b7100 + 4\u00b710\u20131 + 10\u20132 + 8\u00b710\u20133 B\u00f6ylece basamak adlar\u0131na kar\u015f\u0131l\u0131k gelen say\u0131lar 10\u2019un tam say\u0131 kuvvetleri \u015feklinde yaz\u0131l\u0131r. 19 f) 86,093 = ............................................................. 1. A\u015fa\u011f\u0131da ondal\u0131k g\u00f6sterimi verilen say\u0131lar\u0131 10\u2019un g) 40,04 = ............................................................... tam say\u0131 kuvvetlerini kullanarak \u00e7\u00f6z\u00fcmleyiniz. \u011f) 8,027 = ............................................................... a) 2,7 = ................................................................... b) 4,2 = ................................................................... h) 125,386 =............................................................ c) 6,38 = ................................................................. \u0131) 637,916 =............................................................ i) 795,0906 = ......................................................... \u00e7) 32,5 = ................................................................. j) 4160,06 =............................................................ k) 3782,293 = ........................................................ d) 48,16 =................................................................ l) 0,009 = ............................................................... m)0,0312 =.............................................................. e) 21,12 = ................................................................ NOT: Ondal\u0131k g\u00f6sterimler \u00e7\u00f6z\u00fcmlenirken 0 (S\u0131f\u0131r) rakam\u0131 bulunan basamak \u00e7\u00f6z\u00fcmleme- de genellikle yaz\u0131lmaz. 74 8. S\u0131n\u0131f","Ondal\u0131k G\u00f6sterimleri Verilen Say\u0131lar\u0131n \u00c7\u00f6z\u00fcmlemesi 2. A\u015fa\u011f\u0131da \u00e7\u00f6z\u00fcmlenmi\u015f \u015fekli verilen ondal\u0131k g\u00f6s- \u00e7) 20,02 = 2\u00b710\ufffd + \ufffd\u00b710\u20132 terimleri yaz\u0131n\u0131z. d) 479,2 = 4\u00b710\ufffd + \ufffd\u00b7101 + 9\u00b710\ufffd + \ufffd\u00b710\u20131 a) 3\u00b7101 + 4\u00b7100 + 7\u00b710\u20131 + 5\u00b710\u20132 =..................... b) 5\u00b7101 + 9\u00b7100 + 2\u00b710\u20131 + 8\u00b710\u20132 =..................... e) 5\ufffd8,\ufffd4 = 5\u00b7102 + \ufffd\u00b7100 + 4\u00b710\u20132 c) 6\u00b7101 + 100 + 3\u00b710\u20131 + 7\u00b710\u20132 = ......................... f) 70\ufffd,00\ufffd = 7\u00b710\ufffd + 3\u00b7100 + 8\u00b710\u20133 \u00e7) 2\u00b7102 + 4\u00b7100 + 8\u00b710\u20131 = ................................... g) 8,0002 = \ufffd\u00b7100 + 2\u00b710\ufffd d) 6\u00b7102 + 5\u00b710\u20131 + 9\u00b710\u20132 =.................................. \u011f) 4001,016 = \ufffd\u00b7103 + 100 + \ufffd\u00b710\u20132 + 6\u00b7\ufffd\u20133 e) 8\u00b7102 + 8\u00b710\u20133 = ................................................ f) 7\u00b710\u20132 + 5\u00b7101 + 102 + 10\u20131 = ............................. 4. A\u015fa\u011f\u0131daki ondal\u0131k g\u00f6sterimlerde 7 rakam\u0131n\u0131n ait g) 4\u00b710\u20133 + 4\u00b7101 =................................................. \u011f) 9\u00b7104 + 2\u00b7100 + 5\u00b710\u20131 = ................................... oldu\u011fu basamaklar\u0131n de\u011feri \u00e7\u00f6z\u00fcmlenmi\u015f olarak verilmi\u015ftir. Bu de\u011fer do\u011fru ise yan\u0131ndaki kutucu- \u011fa \u201c\ufffd\u201d i\u015fareti koyunuz. a) 7.102 73,68 h) 5\u00b7103+ 2\u00b710\u20132 + 7\u00b710\u20134 = .................................. b) 7.10-2 0,674 3. A\u015fa\u011f\u0131daki e\u015fitliklerde bo\u015f b\u0131rak\u0131lan yerleri uygun bi\u00e7imde doldurunuz. c) 7.10-4 a) 24,6 = 2\u00b7101 + \ufffd\u00b7100 + 6\u00b710\ufffd 964,007 b) 38,04 = \ufffd\u00b7101 + 8\u00b710\ufffd + 4\u00b710\u20132 d) 7.100 c) 0,981 = 9\u00b710\ufffd + \ufffd\u00b710\u20132 + 10\u20133 697,184 8. S\u0131n\u0131f 75","Uyguluyorum Ondal\u0131k G\u00f6sterimleri Verilen Say\u0131lar\u0131n Test \u00c7\u00f6z\u00fcmlenmesi 16 1. 42,215 ondal\u0131k g\u00f6steriminin \u00e7\u00f6z\u00fcmlenmi\u015f \u015fekli 5. I. 3\u00b710\u20132 a\u015fa\u011f\u0131dakilerden hangisidir? A) 4\u00b7102 + 2\u00b7101 + 2\u00b7100 + 1\u00b710\u20133 + 5\u00b710\u20132 II. 2\u00b7103 B) 4\u00b7102 + 2\u00b7100 + 2\u00b710\u20131 + 1\u00b710\u20132 + 5\u00b710\u20133 III. 4\u00b7100 C) 4\u00b7101 + 2\u00b7100 + 2\u00b710\u20131 + 1\u00b710\u20132 + 5\u00b710\u20133 Yukar\u0131dakilerden hangileri 204,38 ondal\u0131k g\u00f6ste- D) 4\u00b7101 + 2\u00b7100 + 2\u00b710\u20132 + 1\u00b710\u20133 + 5\u00b710\u20134 riminin \u00e7\u00f6z\u00fcmlenmesinde kullan\u0131lamaz? 2. A) Yaln\u0131z II B) I ve II C) I ve III D) II ve III 6. 1 1 6\u00b7 + 5\u00b7 103 10-2 (3.102)+(7.101)+(5.10-1)g Yukar\u0131da \u00e7\u00f6z\u00fcmlenmi\u015f \u015fekli verilen ondal\u0131k g\u00f6s- terim a\u015fa\u011f\u0131dakilerden hangisidir? A) 600,05 B) 500,6 C) 500,006 D) 60,5 Yukar\u0131daki terazide k\u00fctlesinin \u00e7\u00f6z\u00fcmlenmi\u015f \u015fekli verilen oyuncak ka\u00e7 gramd\u0131r? A) 375 B) 370,5 C) 307,5 D) 37,5 3. 9\u00b7102 + 9\u00b710\u20131 + 9\u00b710\u20132 7. A\u015fa\u011f\u0131daki ondal\u0131k g\u00f6sterimlerden hangisinin \u00e7\u00f6- z\u00fcmlenmi\u015f \u015feklinde 5\u00b7101 basamak de\u011feri bulu- Yukar\u0131da \u00e7\u00f6z\u00fcmlenmi\u015f bi\u00e7imde verilen ondal\u0131k nur? g\u00f6sterim a\u015fa\u011f\u0131dakilerden hangisidir? A) 90,99 B) 99,9 C) 900,99 D) 909,9 A) 504,9 B) 246,5 C) 65,4 D) 57,8 4. Okunu\u015fu \u201c\u00dc\u00e7 tam binde d\u00f6rt y\u00fcz on sekiz\u201d olan on- 8. dal\u0131k g\u00f6sterimin \u00e7\u00f6z\u00fcmlenmi\u015f \u015fekli a\u015fa\u011f\u0131dakiler- 700,53 = 7\u00b710a + 5\u00b710b + c\u00b710\u20132 den hangisidir? oldu\u011funa g\u00f6re a + b + c ka\u00e7t\u0131r? D) 1 A) 3\u00b7100 + 4\u00b710\u20131 + 1\u00b710\u20132 + 8\u00b710\u20133 A) 4 B) 3 C) 2 B) 3\u00b7100 + 4\u00b710\u20132 + 1\u00b710\u20133 + 8\u00b710\u20134 C) 3\u00b7101 + 4\u00b7100 + 1\u00b710\u20132 + 8\u00b710\u20133 D) 3\u00b7101 + 4\u00b710\u20131 + 1\u00b710\u20132 + 8\u00b710\u20133 76 8. S\u0131n\u0131f","Test Ondal\u0131k G\u00f6sterimleri Verilen Say\u0131lar\u0131n Uyguluyorum 16 \u00c7\u00f6z\u00fcmlenmesi 9. A\u015fa\u011f\u0131daki tabloda bir k\u0131rtasiyedeki baz\u0131 \u00fcr\u00fcnlerin fi- 13. 0, 1, 2 ve 3 rakamlar\u0131n\u0131n birer kez kullan\u0131lmas\u0131y- yatlar\u0131n\u0131n \u00e7\u00f6z\u00fcmlenmi\u015f \u015fekli verilmi\u015ftir. la elde edilen en k\u00fc\u00e7\u00fck ondal\u0131k g\u00f6steriminin \u00e7\u00f6- z\u00fcmlenmi\u015f \u015fekli a\u015fa\u011f\u0131dakilerden hangisidir? Tablo: \u00dcr\u00fcnlerin Fiyatlar\u0131 A) 1\u00b7101 + 2\u00b710\u20131 + 3\u00b710\u20132 \u00dcr\u00fcn Fiyat\u0131 (TL) B) 1\u00b7100 + 2\u00b710\u20132 + 3\u00b710\u20132 Kur\u015fun Kalem 9\u00b7100 + 5\u00b710\u20131 C) 1\u00b710\u20131 + 2\u00b710\u20132 + 3\u00b710\u20133 2\u00b7100 + 3\u00b710\u20131 D) 1\u00b710\u20131 + 2\u00b710\u20133 + 3\u00b710\u20134 Silgi 1\u00b7101 + 7\u00b7100 Defter Bu \u00fcr\u00fcnlerden birer tane alan birinin \u00f6demesi ge- reken \u00fccret ka\u00e7 lirad\u0131r? A) 29,3 B) 28,8 C) 28,3 D) 27,9 14. 7 kesrini ifade eden ondal\u0131k g\u00f6sterimin \u00e7\u00f6z\u00fcm- 4 10. 7a2,8b = c\u00b7102 + 6\u00b7101 + 2\u00b7100 + d\u00b710\u20131 lenmi\u015f \u015fekli a\u015fa\u011f\u0131dakilerden hangisidir? oldu\u011funa g\u00f6re ab,cd ondal\u0131k g\u00f6steriminin \u00e7\u00f6- A) 1\u00b7100 + 7\u00b710\u20131 + 5\u00b710\u20132 z\u00fcmlenmi\u015f \u015fekli a\u015fa\u011f\u0131dakilerden hangisidir? B) 1\u00b7100 + 7\u00b710\u20132 + 5\u00b710\u20133 A) 6\u00b7100 + 7\u00b710\u20131 + 8\u00b710\u20132 C) 1\u00b7100 + 7\u00b710\u20131 + 5\u00b710\u20133 B) 6\u00b7100 + 7\u00b710\u20132 + 8\u00b710\u20133 D) 1\u00b7100 + 7\u00b710\u20132 + 5\u00b710\u20132 C) 6\u00b7101 + 7\u00b7100 + 8\u00b710\u20131 D) 6\u00b7101 + 7\u00b710\u20131 + 8\u00b710\u20132 15. 94 + 3 i\u015fleminin sonucuna e\u015fit olan ondal\u0131k g\u00f6s- 5 11. 43,27 terimin \u00e7\u00f6z\u00fcmlenmi\u015f \u015fekli a\u015fa\u011f\u0131dakilerden han- gisidir? ondal\u0131k g\u00f6steriminin hangi basama\u011f\u0131ndaki ra- A) 9\u00b7101 + 4\u00b7100 + 6\u00b710\u20131 kam en b\u00fcy\u00fckt\u00fcr? B) 9\u00b7100 + 4\u00b710\u20131 + 6\u00b710\u20132 C) 9\u00b7101 + 4\u00b7100 + 6\u00b710\u20132 A) Onlar B) Birler D) 9\u00b7100 + 4\u00b710\u20131 + 6\u00b710\u20131 C) Onda birler D) Y\u00fczde birler 12. A\u015fa\u011f\u0131da bir ondal\u0131k g\u00f6sterimin \u00e7\u00f6z\u00fcmlenmi\u015f \u015fekli 16. 24\u00b72\u20137 i\u015fleminin sonucuna e\u015fit olan ondal\u0131k g\u00f6s- kar\u0131\u015f\u0131k olarak verilmi\u015ftir. terimin \u00e7\u00f6z\u00fcmlenmi\u015f \u015fekli a\u015fa\u011f\u0131dakilerden han- gisidir? 4\u00b710-4 2\u00b7103 2\u00b710-2 7\u00b7101 A) 1\u00b710\u20131 + 2\u00b710\u20133 + 5\u00b710\u20134 Buna g\u00f6re bu ondal\u0131k g\u00f6sterim a\u015fa\u011f\u0131dakilerden B) 1\u00b710\u20131 + 2\u00b710\u20132 + 5\u00b710\u20133 hangisidir? C) 1\u00b7100 + 2\u00b710\u20131 + 5\u00b710\u20132 D) 1\u00b7100 + 2\u00b710\u20132 + 5\u00b710\u20133 A) 2070,0204 B) 2007,024 C) 207,204 D) 200,724 8. S\u0131n\u0131f 77","Ba\u015far\u0131yorum Ondal\u0131k G\u00f6sterimleri Verilen Say\u0131lar\u0131n Test \u00c7\u00f6z\u00fcmlenmesi 17 1. Nida Han\u0131m, k\u00f6pe\u011finin geli\u015fimini takip etmek i\u00e7in k\u00f6pe\u011fini her ay veterinere g\u00f6t\u00fcrmektedir. Veterinerde d\u00f6rt ay boyunca k\u00f6pe\u011fin kilogram cinsinden \u00f6l\u00e7\u00fclen k\u00fctlesi a\u015fa\u011f\u0131daki terazilerde g\u00f6sterilmi\u015ftir. Ocak \u015eubat Mart Nisan 2.100+5.10-1 2.100+8.10-1+5.10-2 3.100+7.10-1 3.100+4.10-1+5.10-2 Buna g\u00f6re hangi ayda k\u00f6pe\u011finin k\u00fctlesi 0,4 kg fazla olsayd\u0131, d\u00f6rt ay boyunca k\u00f6pe\u011fin k\u00fctlesi s\u00fcrekli artm\u0131\u015f olacakt\u0131? A) Ocak B) \u015eubat C) Mart D) Nisan 2. Cep telefonu uygulamas\u0131 \u00fczerinden sat\u0131\u015f yapan bir sanal marketin hafta sonu kampanyas\u0131nda 75 TL tutar\u0131nda al\u0131\u015f- veri\u015f yapan m\u00fc\u015fteriler 50 TL \u00fccret \u00f6deyecektir. Hakan bu marketten d\u00f6rt \u00fcr\u00fcnden birer paket alacakt\u0131r. Ald\u0131\u011f\u0131 \u00fc\u00e7 \u00fcr\u00fcn\u00fcn TL cinsinden paket fiyatlar\u0131 a\u015fa\u011f\u0131daki tab- loda verilmi\u015ftir. \u00dcr\u00fcn Bir Paket Fiyat (TL) Pirin\u00e7 2\u00b7101 + 5\u00b7100 + 7\u00b710\u20131 + 5\u00b710\u20132 Sal\u00e7a Makarna 2\u00b7101 + 3\u00b7100 + 5\u00b710\u20131 1\u00b710 + 9\u00b710\u20131 + 5\u00b710\u20132 Buna g\u00f6re Hakan d\u00f6rd\u00fcnc\u00fc \u00fcr\u00fcn olarak a\u015fa\u011f\u0131daki \u00fcr\u00fcnlerin hangisinden 1 paket sat\u0131n al\u0131rsa kampanyadan faydalanarak al\u0131\u015fveri\u015f i\u00e7in \u00f6deyece\u011fi toplam tutar 50 TL olur? \u00dcr\u00fcn Bir Paket Fiyat (TL) A) Yumurta 1\u00b7101 + 4\u00b7100 + 8\u00b710\u20131 B) Yo\u011furt 1\u00b7101 + 5\u00b7100 + 8\u00b710\u20132 C) \u015eeker 1\u00b7101 + 8\u00b710\u20131 + 5\u00b710\u20133 D) Un 1\u00b7101 + 4\u00b7100 + 8\u00b710\u20132 78 8. S\u0131n\u0131f","Test Ondal\u0131k G\u00f6sterimleri Verilen Say\u0131lar\u0131n Ba\u015far\u0131yorum 17 \u00c7\u00f6z\u00fcmlenmesi 3. A\u015fa\u011f\u0131da ilk okumas\u0131 ger\u00e7ekle\u015fen su sayac\u0131n\u0131n \u00fczerinde 0054,15 m3 yazmaktad\u0131r. Girginer ailesi su sayac\u0131n\u0131n ilk okuma tarihinden son okuma tarihine kadar 430 litre su t\u00fcketmi\u015ftir. Buna g\u00f6re son okumada sayac\u0131n \u00fczerinde yazan say\u0131n\u0131n \u00e7\u00f6z\u00fcmlenmi\u015f hali a\u015fa\u011f\u0131dakilerden hangisidir? (1 m3 = 1000 litredir.) A) 5\u00b7102 + 4\u00b7101 + 5\u00b710\u20131 + 8\u00b710\u20132 B) 5\u00b7101 + 8\u00b7100 + 3\u00b710\u20131 + 8\u00b710\u20132 C) 5\u00b7101 + 4\u00b7100 + 5\u00b710\u20131 + 8\u00b710\u20132 D) 5\u00b7102 + 8\u00b7101 + 5\u00b710\u20131 + 8\u00b710\u20132 4. Kilogram\u0131 15 TL\u2019den sat\u0131lan muzdan bir miktar al\u0131nd\u0131\u011f\u0131nda a\u015fa\u011f\u0131daki terazide k\u00fctlesi g\u00f6sterilmi\u015ftir. 4,75 kg Buna g\u00f6re Alper\u2019in ald\u0131\u011f\u0131 muz i\u00e7in \u00f6deyece\u011fi \u00fccretin \u00e7\u00f6z\u00fcmlenmi\u015f hali a\u015fa\u011f\u0131dakilerden hangisidir? A) 7\u00b7101 + 1\u00b7100 + 2\u00b710\u20131 + 5\u00b710\u20132 B) 7\u00b7100 + 1\u00b710\u20131 + 2\u00b710\u20132 + 5\u00b710\u20133 C) 7\u00b7100 + 2\u00b710\u20131 + 5\u00b710\u20133 D) 7\u00b7101 + 2\u00b7100 + 5\u00b710\u20131 8. S\u0131n\u0131f 79","\u00c7ok B\u00fcy\u00fck ve \u00c7ok K\u00fc\u00e7\u00fck Say\u0131lar\u0131 10\u2019un Farkl\u0131 Kuvvetlerini Kullanarak Yazma \u00c7ok b\u00fcy\u00fck ve \u00e7ok k\u00fc\u00e7\u00fck say\u0131lar\u0131 daha k\u0131sa olarak g\u00f6stermek i\u00e7in 10\u2019un kuvvetlerini kullan\u0131r\u0131z. \u00d6rnek: \u00a1 40 000 000 = 4\u00b7107 (Bu \u015fekilde \u00e7ok b\u00fcy\u00fck say\u0131da, sonda bulunan s\u0131f\u0131r adedin 10\u2019un pozitif kuvvet Yedi s\u0131f\u0131r olarak yazd\u0131k.) 0,00000015 = 15\u00b710\u20138 (Bu \u015fekilde \u00e7ok k\u00fc\u00e7\u00fck say\u0131da, virg\u00fclden sonraki basamak say\u0131s\u0131n\u0131 10\u2019un negatif Sekiz basamak kuvveti olarak yazd\u0131k.) \ufffd a,bc\u00b710n \u015feklinde verilen \u00e7ok b\u00fcy\u00fck veya \u00e7ok k\u00fc\u00e7\u00fck say\u0131 de\u011feri de\u011fi\u015fmeden farkl\u0131 bi\u00e7imlerde ifade edilebilir. \ufffd a,bc\u00b710n say\u0131s\u0131 farkl\u0131 bi\u00e7imde ifade edilirken a,bc katsay\u0131s\u0131 ka\u00e7 basamak k\u00fc\u00e7\u00fcl\u00fcrse (virg\u00fcl ka\u00e7 basamak sola kayarsa) n de\u011feri o kadar b\u00fcy\u00fcr. \ufffd a,bc katsay\u0131s\u0131 ka\u00e7 basamak b\u00fcy\u00fcrse (virg\u00fcl ka\u00e7 basamak sa\u011fa kayarsa) n de\u011feri o kadar k\u00fc\u00e7\u00fcl\u00fcr. \u00d6rnek: \u00a1 28,7\u00b71013 = 287\u00b71012 (Virg\u00fcl bir basamak sa\u011fa kay\u0131nca 10\u2019un kuvveti 1 azald\u0131.) \u00a1 28,7\u00b71013 = 2,87\u00b71014 (Virg\u00fcl bir basamak sola kay\u0131nca 10\u2019un kuvveti 1 artt\u0131.) 20 2. A\u015fa\u011f\u0131daki say\u0131lar\u0131, katsay\u0131lar\u0131n\u0131 1, 2 ve 3 basamak b\u00fcy\u00fcterek farkl\u0131 bi\u00e7imde ifade ediniz. 1. A\u015fa\u011f\u0131daki \u00e7ok b\u00fcy\u00fck veya \u00e7ok k\u00fc\u00e7\u00fck say\u0131lar\u0131 a) 47\u00b7108 10\u2019un kuvveti \u015feklinde yaz\u0131n\u0131z. a) 900 000 = ........................................................... = == b) 130 000 000 =..................................................... c) 8 000 000 000 = ................................................. b) 2180\u00b710\u20135 = = \u00e7) 0,00000018 =...................................................... = d) 0,00000007 = ..................................................... e) 0,0000004863 = ................................................. c) 3,62\u00b7106 = = = = NOT:1 milyon = 1 000 000 = 1 milyar = 1 000 000 000 \u00e7) 0,184\u00b710\u20139 = = 1 trilyon = 1 000 000 000 000 = f) 18 milyon = ......................................................... g) 7 milyar =............................................................ d) 79,8\u00b7107 = \u011f) 3 trilyon =............................................................ = h) Milyarda bir =...................................................... e) 0,0081\u00b71011 = = 80 8. S\u0131n\u0131f","\u00c7ok B\u00fcy\u00fck ve \u00c7ok K\u00fc\u00e7\u00fck Say\u0131lar\u0131 10\u2019un Farkl\u0131 Kuvvetlerini Kullanarak Yazma 3. A\u015fa\u011f\u0131daki say\u0131lar\u0131, katsay\u0131lar\u0131n\u0131 1, 2 ve 3 basamak 5. A\u015fa\u011f\u0131daki say\u0131lar\u0131n \u00f6rnekteki gibi a\u00e7\u0131k hallerini k\u00fc\u00e7\u00fclterek farkl\u0131 bi\u00e7imde ifade ediniz. yaz\u0131n\u0131z? a) 840\u00b7106 a) 71\u00b7104 = 710 000 b) 68\u00b7105 = ............................................................. = == c) 241\u00b710\u20133 = .......................................................... b) 781,92\u00b710\u20138 = = \u00e7) 6\u00b7107 = ............................................................... = d) 91\u00b710\u20136 = ............................................................ c) 65,33\u00b710\u20136 = = = = e) 0,48\u00b710\u20132 =......................................................... = f) 5,73\u00b7104 = .......................................................... \u00e7) 9,8\u00b7109 = g) 0,006\u00b7108 = ........................................................ = 6. A\u015fa\u011f\u0131daki e\u015fitliklerde sembollerinin yerlerine d) 0,63\u00b710\u20134 = yaz\u0131lmas\u0131 gereken say\u0131lar\u0131 bulunuz. = a) 9\u00b7106 = 900\u00b710 e) 0,008\u00b7105 = = b) 82\u00b710\u20135 = 0,00082\u00b710 = c) 53\u00b7107 = \u00b7108 4. A\u015fa\u011f\u0131daki e\u015fitlikler do\u011fru ise \u00f6n\u00fcndeki kutucu\u011fa \u00e7) 27 000\u00b710\u20134 = \u00b710\u20131 \u201c\ufffd\u201d i\u015fareti koyunuz. d) 0,003\u00b7102 = 3\u00b710 a) 4\u00b71014 = 40 000\u00b71010 b) 0,182\u00b710\u20137 = 0,000182\u00b710\u201310 e) 6,16\u00b71012 = \u00b7109 c) 0,0009\u00b710\u20138 = 900\u00b710\u20134 f) 0,078\u00b710\u20137 = \u00b710\u201311 \u00e7) 32,8\u00b7106 = 0,328\u00b7108 7. A\u015fa\u011f\u0131daki say\u0131lardan 72,4\u00b710\u20138\u2019e e\u015fit olanlar\u0131 yu- d) 515\u00b710\u201312 = 5,15\u00b710\u20139 varlak i\u00e7ine al\u0131n\u0131z. a) 724 000\u00b710\u201311 b) 0,724\u00b710\u20136 e) 138,7\u00b710\u20136 = 138 700\u00b710\u20139 c) 7240\u00b710\u201310 \u00e7) 0,0000724\u00b710\u20131 f) 2,08\u00b7105 = 0,0000208\u00b71010 d) 0,000724\u00b710\u20132 e) 0,0724\u00b710\u20137 8. S\u0131n\u0131f 81","Bilimsel G\u00f6sterim |a|, 1 veya 1\u2019den b\u00fcy\u00fck ve 10\u2019dan k\u00fc\u00e7\u00fck bir ger\u00e7ek say\u0131, n bi tam say\u0131 olmak \u00fczere a\u00b710n g\u00f6sterimi bilimsel g\u00f6ste- rimdir. \u00d6rnek: Hepsinin katsay\u0131s\u0131 1 ile 10 aras\u0131nda (1 dahil) bulunmaktad\u0131r. 42 000 000 say\u0131s\u0131n\u0131n bilimsel g\u00f6sterimi 4,2\u00b7107\u2019dir. 0,000000008 say\u0131s\u0131n\u0131n bilisel g\u00f6sterimi 8\u00b710\u20139\u2019dur. 13,4\u00b7105 say\u0131s\u0131n\u0131n bilimsel g\u00f6sterimi 1,34\u00b7106\u2019d\u0131r. \u2022 107, 10\u20136, 1018 gibi 10\u2019un kuvvetlerinin katsay\u0131s\u0131 1 oldu\u011fu i\u00e7in bilimsel g\u00f6sterimdir. 21 2. A\u015fa\u011f\u0131daki say\u0131lardan bilimsel g\u00f6sterime uygun olanlar\u0131n \u00f6n\u00fcndeki kutucu\u011fa \u201c\ufffd\u201d i\u015fareti koyunuz. 1. A\u015fa\u011f\u0131daki say\u0131lar\u0131n bilimsel g\u00f6sterimini yaz\u0131n\u0131z. a) 200 = .................................................................. a) 2,6\u00b7105 b) 9,1\u00b710\u20134 b) 360 = .................................................................. c) 9400 = ................................................................ c) 0,2\u00b7108 \u00e7) 10\u00b7106 \u00e7) 40 000 = ............................................................. d) 74 000 = ............................................................. d) 0,9\u00b710\u20139 e) 1\u00b7108 e) 600 000 = ........................................................... f) 43\u00b7106 g) 7\u00b710\u20133 f) 7 100 000 =......................................................... g) 89 500 000 = ...................................................... \u011f) 1,923\u00b7107 h) 9,9\u00b7108 \u011f) 0,0006 = ............................................................. h) 0,000038 = ......................................................... \u0131) 4 i) 5,2 \u0131) 0,00000123 =...................................................... i) 39\u00b7108 = ............................................................. j) 107 k) 10\u20136 j) 526\u00b7107 = ........................................................... k) 70,1\u00b710\u20136 = ......................................................... l) 6,5 milyon m) 12 milyar l) 81,07\u00b710\u20138 = ....................................................... m)0,054\u00b710\u20135 =....................................................... n) 910,86\u00b71010 = ..................................................... 82 8. S\u0131n\u0131f","Bilimsel G\u00f6sterim 3. A\u015fa\u011f\u0131da verilen ifadelere uygun bilimsel g\u00f6steri- 4. Korona vir\u00fcs\u00fcn uzunlu\u011fu yakla\u015f\u0131k 125 nanometredir. mi yaz\u0131n\u0131z. Buna g\u00f6re korona vir\u00fcs\u00fcn metre cinsinden uzun- lu\u011funun bilimsel g\u00f6sterimini bulunuz. a) Bir insan kalbi ya\u015fam\u0131 boyunca ortalama 2 milyar kez atar. (1 nanometre = 0,000000001 metre) b) Bir gaz\u0131n yo\u011funlu\u011fu 0,0042 g\/cm3\u2019t\u00fcr. c) D\u00fcnya\u2019n\u0131n G\u00fcne\u015f etraf\u0131ndaki d\u00f6n\u00fc\u015f h\u0131z\u0131 yakla\u015f\u0131k 5. 1 mm3 kanda ortalama 7 000 adet akyuvar vard\u0131r. 107 000 km\/sa\u2019tir. Buna g\u00f6re 1 litre kanda ortalama ka\u00e7 adet akyu- var bulundu\u011funun bilimsel g\u00f6sterimini yaz\u0131n\u0131z. (1 mm3 = 10\u20136 L) \u00e7) \u0130stanbul ilinin n\u00fcfusu yakla\u015f\u0131k olarak 15,5 milyon- dur. 6. 16 000 000\u00b7600 000 i\u015fleminin sonucunun bilimsel g\u00f6sterimini yaz\u0131n\u0131z. d) K\u00fctlesi 92 kg olan Alper\u2019in k\u00fctlesinin gram cinsin- den de\u011feri e) Uzunlu\u011fu 0,0038\u00b710\u20134 cm olan bakterinin uzun- 7. 81\u00b710-11 i\u015fleminin sonucunun bilimsel g\u00f6steri- lu\u011funun milimetre cinsinden de\u011feri 0, 9\u00b710-8 mini yap\u0131n\u0131z. f) Dokuz basamakl\u0131 en k\u00fc\u00e7\u00fck pozitif tam say\u0131. g) Dakikada 3 000 kez kanat \u00e7\u0131rpan bir ar\u0131n\u0131n 2 sa- 8. 0,00000000072 say\u0131s\u0131n\u0131n bilimsel g\u00f6sterimi a\u00b710n atteki kanat \u00e7\u0131rpma say\u0131s\u0131 oldu\u011funa g\u00f6re a\u00b7n ifadesinin de\u011ferini bulunuz. 8. S\u0131n\u0131f 83","Uyguluyorum \u00c7ok B\u00fcy\u00fck ve \u00c7ok K\u00fc\u00e7\u00fck Say\u0131lar\u0131 10\u2019un Farkl\u0131 Test Kuvvetlerini Kullanarak Yazma - Bilimsel G\u00f6sterim 18 1. 6. 10-5 376 000 000 3 say\u0131s\u0131 a\u015fa\u011f\u0131dakilerden hangisine e\u015fittir? A) 376\u00b7109 B) 376\u00b7108 6,4.108 C) 376\u00b7107 D) 376\u00b7106 55.106 55.105 55.104 55.103 2. Yukar\u0131daki ifadeler bilimsel g\u00f6sterime uygunsa \u201c\ufffd\u201d 0,000098 yolu, de\u011filse \u201c\ufffd\u201d yolu takip edilmektedir. say\u0131s\u0131 a\u015fa\u011f\u0131dakilerden hangisine e\u015fittir? Buna g\u00f6re ula\u015f\u0131lmas\u0131 gereken \u00e7\u0131k\u0131\u015fta yazan ifa- denin bilimsel g\u00f6sterimi a\u015fa\u011f\u0131dakilerden hangi- A) 98\u00b710\u20136 B) 98\u00b710\u20137 C) 98\u00b710\u20138 D) 98\u00b710\u20139 sidir? A) 5,5\u00b7107 B) 5,5\u00b7106 C) 5,5\u00b7105 D) 5,5\u00b7104 3. A\u015fa\u011f\u0131dakilerden hangisi bilimsel g\u00f6sterime uy- 7. I. \u20133,2.1012 gundur? A) B) II. 13.10\u201319 43.106 2.10-4 III. 10\u20135 C) D) Yukar\u0131dakilerden hangileri bilimsel g\u00f6sterime 10.10-6 0,4.103 uygundur? A) Yaln\u0131z I B) Yaln\u0131z III C) I ve III D) II ve III 4. 8. 29,307\u00b7108 0,0000816 = 81,6\u00b710a say\u0131s\u0131n\u0131n a\u00e7\u0131k hali a\u015fa\u011f\u0131dakilerden hangisidir? oldu\u011funa g\u00f6re a ka\u00e7t\u0131r? A) 29 307 000 000 B) 2 930 700 000 C) 293 070 000 D) 29 307 000 A) \u20134 B) \u20135 C) \u20136 D) \u20137 5. A\u015fa\u011f\u0131daki say\u0131lardan hangisi di\u011ferlerinden fark- 9. l\u0131d\u0131r? 0,000000791 A) 53\u00b7109 B) 0,53\u00b71011 say\u0131s\u0131n\u0131n bilimsel g\u00f6sterimi a\u015fa\u011f\u0131dakilerden han- C) 5300\u00b7108 D) 5,3\u00b71010 gisidir? A) 79,1\u00b710\u20138 B) 79,1\u00b710\u20137 C) 7,91\u00b710\u20138 D) 7,91\u00b710\u20137 84 8. S\u0131n\u0131f","Test \u00c7ok B\u00fcy\u00fck ve \u00c7ok K\u00fc\u00e7\u00fck Say\u0131lar\u0131 10\u2019un Farkl\u0131 Uyguluyorum 18 Kuvvetlerini Kullanarak Yazma - Bilimsel G\u00f6sterim 10. 14. 0,000007 say\u0131s\u0131n\u0131n bilimsel g\u00f6sterimi m\u00b710x ve 0,41.102=4,1.10 7.10-3=0,7.10-4 800 000 say\u0131s\u0131n\u0131n bilimsel g\u00f6sterimi n\u00b710y\u2019dir. Buna g\u00f6re a\u015fa\u011f\u0131dakilerden hangisi yanl\u0131\u015ft\u0131r? 108=100.106 600.10-4=6.10-2 A) x + y = \u20131 B) m + n = 14 C) n \u2013 y = 3 D) m \u2013 x = 13 Yukar\u0131daki kartonda yanl\u0131\u015f olan e\u015fitliklerin bulundu- 15. Evrende D\u00fcnya\u2019dan 11,3 yottametre uzakl\u0131kta bir \u011fu par\u00e7alar kesilip at\u0131l\u0131yor. g\u00f6kta\u015f\u0131 oldu\u011fu varsay\u0131lmaktad\u0131r. Buna g\u00f6re kalan k\u0131sm\u0131n g\u00f6r\u00fcn\u00fcm\u00fc a\u015fa\u011f\u0131dakiler- den hangisidir? Buna g\u00f6re bu uzakl\u0131k de\u011ferinin kilometre cinsin- A) B) den bilimsel g\u00f6sterimi a\u015fa\u011f\u0131dakilerden hangisi- dir? (1 yottametre = 1024 metre) C) D) A) 0,113\u00b71022 B) 1,13\u00b71022 C) 1,13\u00b71025 D) 113\u00b71025 11. D\u00fcnya\u2019n\u0131n \u00e7ap\u0131 12 742 km oldu\u011funa g\u00f6re bu de- 16. Kenar uzunluklar\u0131 8\u00b710\u20131 m ve 2\u00b710\u20133 olan dikd\u00f6rt- \u011ferin metre cinsinden bilimsel g\u00f6sterimi a\u015fa\u011f\u0131- gen \u015feklindeki \u00f6zde\u015f ka\u011f\u0131tlardan 10 tanesi \u00fcst \u00fcste gelmeden yan yana diziliyor. dakilerden hangisidir? Buna g\u00f6re elde edilen \u015feklin bir y\u00fcz\u00fcn\u00fcn santi- A) 12,742\u00b7106 B) 12,742\u00b7105 metrekare cinsinden alan\u0131n\u0131n bilimsel g\u00f6sterimi C) 1,2742\u00b7107 D) 1,2742\u00b7106 a\u015fa\u011f\u0131dakilerden hangisidir? A) 1,6\u00b710\u20135 B) 1,6\u00b710\u20134 C) 1,6\u00b710\u20133 D) 1,6\u00b710\u20132 12. Yanda g\u00f6sterilen kedi 225 g 17. mamas\u0131n\u0131n kilogram D\u00fcnya\u2019n\u0131n en k\u00fc\u00e7\u00fck hayvan\u0131 1979 y\u0131l\u0131nda Avust- cinsinden bilimsel g\u00f6s- KED\u0130 terimi a\u015fa\u011f\u0131dakilerden MAMASI ralyal\u0131 bilim insanlar\u0131 taraf\u0131ndan ke\u015ffedilen bir hangisidir? bal\u0131k t\u00fcr\u00fc olan \u201cSch\u00fcndleria Brevipinguis\u201dtir. Bu A) 0,225\u00b710\u20133 B) 0,225\u00b710\u20132 bal\u0131\u011f\u0131n k\u00fctlesi 1 miligramd\u0131r. C) 0,25\u00b710\u20132 D) 2,25\u00b710\u20131 13. A\u015fa\u011f\u0131daki verilen say\u0131lardan hangisi en b\u00fcy\u00fck- Yukar\u0131daki afi\u015fte anlat\u0131lan bal\u0131\u011f\u0131n kilogram cin- t\u00fcr? sinden k\u00fctlesinin bilimsel g\u00f6sterimi a\u015fa\u011f\u0131daki- lerden hangisidir? A) 0,3\u00b7106 B) 13\u00b7105 A) 10\u20136 B) 10\u20137 C) 10\u00b710\u20136 D) 10\u00b710\u20135 C) 0,15\u00b7106 D) 30\u00b7104 8. S\u0131n\u0131f 85","Ba\u015far\u0131yorum \u00c7ok B\u00fcy\u00fck ve \u00c7ok K\u00fc\u00e7\u00fck Say\u0131lar\u0131 10\u2019un Farkl\u0131 Test Kuvvetlerini Kullanarak Yazma - Bilimsel G\u00f6sterim 19 1. Tak\u0131 tasar\u0131m\u0131 kursuna giden Neriman Han\u0131m a\u015fa\u011f\u0131da tasarlad\u0131\u011f\u0131 bilekli\u011fi yapmak i\u00e7in malzeme alacakt\u0131r. Malzeme almak i\u00e7in tuhafiyeye giden Neriman Han\u0131m ald\u0131\u011f\u0131 malzemeleri hassas teraziyle tartt\u0131rm\u0131\u015f ve a\u011f\u0131rl\u0131klar\u0131n\u0131 a\u015fa\u011f\u0131daki bir tabloya not etmi\u015ftir. Bileklik yapmak i\u00e7in A\u011f\u0131rl\u0131k (g) kullan\u0131lan malzeme t\u00fcr\u00fc \u0130p ve Kanca toplam\u0131 10-3 2.10-2 10-1 6.10-3 Neriman Han\u0131m\u2019\u0131n yapm\u0131\u015f oldu\u011fu bilekli\u011fin gram cinsinden k\u00fctlesinin bilimsel g\u00f6sterimi a\u015fa\u011f\u0131dakilerden hangisidir? A) 4,9\u00b710\u20131 B) 4,9\u00b710\u20133 C) 4,8\u00b710\u20131 D) 4,8\u00b710\u20132 2. A\u015fa\u011f\u0131da Tablo 1 ve Tablo 2\u2019de yer alan \u00fcsl\u00fc ifadelerden sonu\u00e7lar\u0131 birbirine e\u015fit olanlar ayn\u0131 renk ile boyanacakt\u0131r. Tablo 1 Tablo 2 214.10-7 214000.10-6 MS 21,4.100 0,214.10-7 2,14.10-8 2140.10-2 YP 0,0214.10-3 21400.10-5 Buna g\u00f6re Tablo 2\u2019nin boyal\u0131 h\u00e2li a\u015fa\u011f\u0131dakilerden hangisidir? A) Y M B) P M C) S P D) Y P Y S M SP YS M 86 8. S\u0131n\u0131f","Test \u00c7ok B\u00fcy\u00fck ve \u00c7ok K\u00fc\u00e7\u00fck Say\u0131lar\u0131 10\u2019un Farkl\u0131 Ba\u015far\u0131yorum 19 Kuvvetlerini Kullanarak Yazma - Bilimsel G\u00f6sterim 3. A\u015fa\u011f\u0131da A, B, C ve D markal\u0131 d\u00f6rt yaz\u0131c\u0131 verilmi\u015ftir. Bu yaz\u0131c\u0131lar\u0131n bir sayfal\u0131k tan\u0131t\u0131m afi\u015fini yazmak i\u00e7in harcad\u0131klar\u0131 m\u00fcrekkep miktarlar\u0131 altlar\u0131nda g\u00f6sterilmi\u015ftir. A BC D 525\u00b710-10 L 5,05\u00b710-8 L 0,5\u00b710-7 L 55,8\u00b710-9 L Ba\u015flang\u0131\u00e7ta her birinde e\u015fit miktarlarda m\u00fcrekkep bulunan bu yaz\u0131c\u0131lar\u0131n her biri ile bu afi\u015flerden e\u015fit say\u0131da yaz- d\u0131r\u0131l\u0131yor. Son durumda A, B, C ve D yaz\u0131c\u0131lar\u0131nda kalan m\u00fcrekkep miktarlar\u0131 litre cinsinden s\u0131ras\u0131yla a, b, c ve d olmak \u00fczere a\u015fa\u011f\u0131daki s\u0131ralamalardan hangisi do\u011frudur? A) c > b > a > d B) d > a > b > c C) c > a > b > d D) d > b > a > c 4. A\u015fa\u011f\u0131da T\u00fcrkiye\u2019nin baz\u0131 \u015firketlerinin 2022 y\u0131l\u0131 \u015eubat ay\u0131 itibariyle TL cinsinden piyasa de\u011ferleri verilmi\u015ftir. Tablo: \u015eirketlerin Piyasa De\u011ferleri \u015eirket Piyasa De\u011feri (TL) Ere\u011fli Demir \u00c7elik Fabrikas\u0131 121\u00b7109 5,5\u00b710y Sasa Polyester 370\u00b7108 \u015ei\u015fe Cam Fabrikas\u0131 0,8x\u00b71011 Ford Otosan Bu \u015firketler piyasa de\u011ferlerine g\u00f6re b\u00fcy\u00fckten k\u00fc\u00e7\u00fc\u011fe do\u011fru s\u0131raland\u0131\u011f\u0131nda a\u015fa\u011f\u0131daki gibi olmaktad\u0131r. \u201cEre\u011fli Demir \u00c7elik Fabrikas\u0131 > Ford Otosan > Sasa Polyester > \u015ei\u015fe Cam Fabrikas\u0131\u201d Buna g\u00f6re x ve y yerine yaz\u0131labilecek en b\u00fcy\u00fck do\u011fal say\u0131 de\u011ferlerinin toplam\u0131 ka\u00e7t\u0131r? A) 20 B) 19 C) 18 D) 17 8. S\u0131n\u0131f 87","KAREK\u00d6KL\u00dc \u0130FADELER VE VER\u0130 ANAL\u0130Z\u0130 2 \u00dcN\u0130TE Karek\u00f6kl\u00fc \u0130fadeler Veri Analizi 8. SINIF Kazan\u0131mlar; Tam kare pozitif tam say\u0131larla bu say\u0131lar\u0131n karek\u00f6kleri M.8.1.3.1 aras\u0131ndaki ili\u015fkiyi belirler. M.8.1.3.2 M.8.1.3.3 Tam kare olmayan karek\u00f6kl\u00fc bir say\u0131n\u0131n hangi iki do\u011fal say\u0131 aras\u0131nda oldu\u011funu belirler. Karek\u00f6kl\u00fc bir ifadeyi a\u00a7b \u015feklinde yazar ve a\u00a7b \u015feklindeki ifadede katsay\u0131y\u0131 k\u00f6k i\u00e7ine al\u0131r. Karek\u00f6kl\u00fc ifadelerde \u00e7arpma ve b\u00f6lme i\u015flemlerini yapar. M.8.1.3.4 Karek\u00f6kl\u00fc ifadelerde toplama ve \u00e7\u0131karma i\u015flemlerini M.8.1.3.5 yapar. M.8.1.3.6 Karek\u00f6kl\u00fc bir ifade ile \u00e7arp\u0131ld\u0131\u011f\u0131nda, sonucu bir do\u011fal say\u0131 yapan \u00e7arpanlara \u00f6rnek verir. Ondal\u0131k ifadelerin karek\u00f6klerini belirler. M.8.1.3.7 Ger\u00e7ek say\u0131lar\u0131 tan\u0131r, rasyonel ve irrasyonel say\u0131larla M.8.1.3.8 ili\u015fkilendirir. M.8.4.1.1 M.8.4.1.2 En fazla \u00fc\u00e7 veri grubuna ait \u00e7izgi ve s\u00fctun gra\ufb01klerini yorumlar. Verileri s\u00fctun, daire veya \u00e7izgi gra\ufb01\u011fi ile g\u00f6sterir ve bu g\u00f6sterimler aras\u0131nda uygun olan d\u00f6n\u00fc\u015f\u00fcmleri yapar.","\u00dcN\u0130TE NOTLANDIRMA \u00dcN\u0130TE \u00d6NCEL\u0130KLER\u0130M \u00dcN\u0130TEDEK\u0130 MOOD NOTLARIM F\u0130K\u0130RLER\u0130M FORM\u00dcLLER","Karek\u00f6kl\u00fc \u0130fadeler Tam Kare Pozitif Tam Say\u0131lar ve Karek\u00f6k Bulma Bir tam say\u0131n\u0131n karesi olan pozitif tam say\u0131lara tam kare pozitif tam say\u0131lar denir. 1, 4, 9, 16, 25... gibi say\u0131lar tam kare pozitif say\u0131lard\u0131r. Karek\u00f6k alma; negatif olmayan bir say\u0131n\u0131n hangi say\u0131n\u0131n karesi oldu\u011funu bulma i\u015flemidir. \u00e6 sembol\u00fc ile g\u00f6ste- rilir. \u00a7a ifadesi \u201ckarek\u00f6k a\u201d \u015feklinde okunur. \u00d6rnek: Alan\u0131 64 cm2 olan karenin bir kenar\u0131 64\u2019\u00fcn karek\u00f6k\u00fcn\u00fcn al\u0131nmas\u0131yla bulunur. 64 say\u0131s\u0131, 8\u2019in ka- residir ve \u00e664 = 8\u2019dir. \u00d6rnek: \u00ca100 (karek\u00f6k 100) ifadesinde hangi say\u0131n\u0131n karesinin 100 oldu\u011funu bulunuz. 10\u00b710 = 100 ve (\u201310)\u00b7(\u201310) = 100 olsa bile bir say\u0131n\u0131n karek\u00f6k\u00fc negatif olamayaca\u011f\u0131 i\u00e7in \u00ca100 = +10 olur. 22 2. A\u015fa\u011f\u0131daki tabloda tam kare pozitif tam say\u0131lar\u0131n yaz\u0131l\u0131 oldu\u011fu kareleri \u00e7ember i\u00e7ine al\u0131n\u0131z. 1. A\u015fa\u011f\u0131da verilen say\u0131lar\u0131n karelerini \u00f6rnekteki gibi 1 5 8 9 14 19 25 bulunuz. a) 1\u2019in karesi = 12 = 1\u00b71 = 1 27 30 33 38 45 49 58 b) 2\u2019nin karesi = ...................................................... 64 73 81 88 96 100 111 c) 3\u2019\u00fcn karesi = ....................................................... 132 139 144 156 168 176 181 \u00e7) 4\u2019\u00fcn karesi = ....................................................... d) 5\u2019in karesi = ........................................................ 196 225 241 252 289 316 324 e) 6\u2019n\u0131n karesi = ...................................................... f) 7\u2019nin karesi = ...................................................... 3. A\u015fa\u011f\u0131daki ifadelere uygun tam kare pozitif tam g) 8\u2019in karesi = ........................................................ say\u0131lar\u0131 bulunuz. \u011f) 9\u2019un karesi = ....................................................... a) 15\u2019ten k\u00fc\u00e7\u00fck olanlar \u20ba h) 10\u2019un karesi = ..................................................... b) 40\u2019tan k\u00fc\u00e7\u00fck olanlar \u20ba \u0131) 11\u2019in karesi = ....................................................... c) 50 ile 105 aras\u0131nda olanlar \u20ba i) 12\u2019nin karesi =..................................................... \u00e7) 150 ile 250 aras\u0131nda olanlar \u20ba j) 13\u2019\u00fcn karesi = ..................................................... k) 14\u2019\u00fcn karesi = ..................................................... d) 270 ile 415 aras\u0131nda olanlar \u20ba l) 15\u2019in karesi =....................................................... 90 8. S\u0131n\u0131f","Karek\u00f6kl\u00fc \u0130fadeler 4. A\u015fa\u011f\u0131da alanlar\u0131 verilen karesel b\u00f6lgelerin kenar 6. A\u015fa\u011f\u0131daki karek\u00f6kl\u00fc ifadelerin de\u011ferlerini bulu- nuz. uzunluklar\u0131n\u0131 karek\u00f6k alma i\u015flemini kullanarak a) 132 =................... b) 26 = ..................... c) 38 = .................... \u00e7) 710 =..................... bulunuz. d) ^- 5h4 =................ e) ^- 11h12 = .............. f) 49 = .................... g) 93 = ..................... a) b) 25 br2 49 br2 7. A\u015fa\u011f\u0131daki i\u015flemlerin sonu\u00e7lar\u0131n\u0131 bulunuz. a) 25 + 9 - 49 =.............................................. c) \u00e7) 100 br2 169 br2 d) e) b) 121 \u00b7 1 =........................................................ 256 br2 361 br2 c) 81 - 16 \u00b7 4 = ............................................... \u00e7) 400 : 25 = ..................................................... d) 32 + 29 - 169 =.......................................... 5. A\u015fa\u011f\u0131da verilen karek\u00f6kl\u00fc ifadelerin de\u011ferini bu- 8. A\u015fa\u011f\u0131da alanlar\u0131 verilen karesel b\u00f6lgeler ile olu\u015f- lunuz. mu\u015f \u015fekillerin \u00e7evre uzunluklar\u0131n\u0131 bulunuz. a) \u00a70 = ........................ b) \u00a71 = ......................... c) \u00a74 = ........................ \u00e7) \u00e616 =........................ a) d) \u00e636 =...................... e) \u00e664 = ....................... f) \u00e681 = ...................... g) \u00ca121 = ...................... 196 cm2 \u011f) \u00ca144 =..................... h) \u00ca196 =...................... \u0131) \u00ca289 = .................... i) \u00ca324 = ..................... 64 144 cm2 j) \u00ca400 = .................... k) \u00ca441 =...................... cm l) \u00ca576 = .................... m) \u00ca625 = ..................... 2 n) \u00ca900 = .................... o) 1024 =.................. b) 484 cm2 225 cm2 2 49 cm NOT: a \u00e7ift bir say\u0131 olmak \u00fczere \u00e6xa ifadesi 9. A\u015fa\u011f\u0131daki e\u015fitliklerde verilmeyen harflerin de- xa:2 \u2019dir. \u011ferlerini bulunuz. \u00d6rnek: 712 = 76 a) 25 = 5a - 1 = ......... b) 256 = 2f - 1 = ......... 8. S\u0131n\u0131f 91","Uyguluyorum Tam Kare Pozitif Tam Say\u0131lar ve Karek\u00f6k Bulma Test 20 1. A\u015fa\u011f\u0131dakilerden hangisi tam kare pozitif tam sa- 6. y\u0131d\u0131r? 300 A) 2 B) 10 C) 16 D) 24 74 121 289 2. Yukar\u0131daki renkli kartlar\u0131n \u00fczerinde yazan say\u0131 tam 81 cm2 kare ise arka y\u00fcz\u00fcne \u201c\ufffd\u201d i\u015fareti, de\u011filse \u201c\ufffd\u201d i\u015fareti konulmu\u015ftur. Buna g\u00f6re bu kartlardan herhangi birinin arka y\u00fcz\u00fcn\u00fcn g\u00f6r\u00fcn\u00fcm\u00fc a\u015fa\u011f\u0131dakilerden hangisi ola- maz? A) B) C) D) \ufffd \ufffd \ufffd \ufffd Yukar\u0131da alan\u0131 verilen karenin bir kenar uzunlu\u011fu ka\u00e7 santimetredir? A) 3 B) 9 C) 18 D) 27 7. Remzi 130 adet cebir karosu kullanarak kare \u015feklin- de bir b\u00f6lge olu\u015fturmak istiyor. 3. \u0130ki basamakl\u0131 en b\u00fcy\u00fck tam kare pozitif tam say\u0131 Buna g\u00f6re Remzi olu\u015fturulabilecek en b\u00fcy\u00fck ka- ka\u00e7t\u0131r? reyi olu\u015fturduktan sonra ka\u00e7 karosu artar? A) 64 B) 76 C) 81 D) 99 A) 9 B) 14 C) 23 D) 30 4. A\u015fa\u011f\u0131daki e\u015fitliklerden hangisi yanl\u0131\u015ft\u0131r? 8. A\u015fa\u011f\u0131daki say\u0131lardan hangisinin karek\u00f6k\u00fc he- saplanamaz? A) 0 = 0 B) 1 = 1 C) 16 =-4 D) - 25 = -5 A) 400 B) (\u20132)8 C) \u2013(\u20133)4 D) 100 5. A\u015fa\u011f\u0131daki toplarda yazan say\u0131lardan hangisinin 9. Alan\u0131 100 cm2 olan bir karenin \u00e7evre uzunlu\u011fu karek\u00f6k\u00fc bir tam kare say\u0131d\u0131r? ka\u00e7 santimetredir? A) B) C) D) A) 40 B) 36 C) 30 D) 25 64 100 196 256 92 8. S\u0131n\u0131f","Test Tam Kare Pozitif Tam Say\u0131lar ve Karek\u00f6k Bulma Uyguluyorum 20 10. 16 say\u0131s\u0131n\u0131n karesi ile karek\u00f6k\u00fcn\u00fcn toplam\u0131 ka\u00e7- 14. t\u0131r? A) 276 B) 260 C) 231 D) 223 11. A\u015fa\u011f\u0131daki \u015fekilde alanlar\u0131 121 cm2, 169 cm2, 225 cm2 Yukar\u0131da alan\u0131 324 br2 olan karenin bir kenar\u0131ndan ve 81 cm2 olan karenin k\u00f6\u015feleri u\u00e7 uca eklenmi\u015ftir. 49 br2\u2019lik par\u00e7a kesilip at\u0131l\u0131yor. L Buna g\u00f6re kalan k\u0131sm\u0131n \u00e7evre uzunlu\u011fu ka\u00e7 bi- rimdir? 81 cm2 K 225 cm2 A) 65 B) 72 C) 79 D) 86 121 cm2 169 cm2 Buna g\u00f6re K k\u00f6\u015fesine kenarlar kullan\u0131larak gidi- 15. A\u015fa\u011f\u0131daki say\u0131lardan hangisi iki tam kare say\u0131n\u0131n len en k\u0131sa yol ka\u00e7 santimetredir? toplam\u0131 \u015feklinde yaz\u0131lamaz? A) 74 B) 69 C) 65 D) 62 A) 85 B) 80 C) 70 D) 61 12. D) 8 16. Birler basama\u011f\u0131 6 olan \u00fc\u00e7 basamakl\u0131 ka\u00e7 tane tam 18\u00b7 4\u00b7 1 kare say\u0131 vard\u0131r? i\u015fleminin sonucu ka\u00e7t\u0131r? A) 4 B) 3 C) 2 D) 1 A) 5 B) 6 C) 7 13. a = 15 olmak \u00fczere a\u015fa\u011f\u0131dakilerden hangisi tam kare say\u0131 de\u011fildir? A) B) 17. x = 441 ve y = 144 'dir. a-6 3a+4 Buna g\u00f6re x - y ka\u00e7t\u0131r? A) 2 B) 3 C) 4 C) D) D) 5 10a-6 13a+2 8. S\u0131n\u0131f 93","Ba\u015far\u0131yorum Tam Kare Pozitif Tam Say\u0131lar ve Karek\u00f6k Bulma Test 21 1. \u00d6n ve arka y\u00fczlerinde yazan do\u011fal say\u0131lar\u0131n toplam\u0131 farkl\u0131 bir tam kare say\u0131 olan \u00fc\u00e7 kart\u0131n \u00f6n y\u00fczleri a\u015fa\u011f\u0131da g\u00f6s- terilmi\u015ftir. 73 106 58 Buna g\u00f6re kartlar\u0131n arka y\u00fczlerinde yazan say\u0131lar\u0131n toplam\u0131 en az ka\u00e7t\u0131r? A) 46 B) 42 C) 29 D) 23 2. Bir oyuncak ma\u011fazas\u0131nda \u00fcretilen oyuncaklara iki haneli seri numaras\u0131 verilmektedir. Birinci haneye sistem tara- f\u0131ndan herhangi bir tam kare pozitif tam say\u0131 otomatik olarak verilir. \u0130kinci hanede ise bu tam kare say\u0131n\u0131n rakamlar\u0131 \u00e7arp\u0131m\u0131 yer al\u0131r. \u00d6rne\u011fin, a\u015fa\u011f\u0131da bir oyunca\u011f\u0131n seri numaras\u0131 g\u00f6sterilmi\u015ftir. 1.Hane 2.Hane Seri No: 169 - 54 Bu oyuncak ma\u011fazas\u0131ndan bir m\u00fc\u015fterinin ald\u0131\u011f\u0131 oyunca\u011f\u0131n ilk hanesinde 500\u2019den k\u00fc\u00e7\u00fck \u00fc\u00e7 basamakl\u0131 bir \u00e7ift say\u0131 yazd\u0131\u011f\u0131 bilinmektedir. Buna g\u00f6re bu oyuncak a\u015fa\u011f\u0131dakilerden hangisi kesinlikle olamaz? A) B) C) D) Seri No : ... - 0 Seri No : ... - 16 Seri No : ... - 24 Seri No : ... - 36 94 8. S\u0131n\u0131f","Test Tam Kare Pozitif Tam Say\u0131lar ve Karek\u00f6k Bulma Ba\u015far\u0131yorum 21 3. A\u015fa\u011f\u0131da kare \u015feklindeki sar\u0131, k\u0131rm\u0131z\u0131 ve mavi renkli \u015feffaf kartlar\u0131n g\u00f6r\u00fcnen y\u00fczlerinin alanlar\u0131 verilmi\u015ftir. 225 cm2 196 cm2 121 cm2 Bu \u00fc\u00e7 kart kenarlar\u0131n\u0131n bir k\u0131sm\u0131 \u00e7ak\u0131\u015facak bi\u00e7imde a\u015fa\u011f\u0131daki gibi yerle\u015ftiriliyor. Turuncu Mor A BC |AC| = 17 cm ve |BC|=8 cm oldu\u011funa g\u00f6re turuncu b\u00f6lgenin g\u00f6r\u00fcnen y\u00fcz\u00fcn\u00fcn alan\u0131, mor b\u00f6lgenin g\u00f6r\u00fcnen y\u00fcz\u00fcn\u00fcn alan\u0131ndan ka\u00e7 santimetrekare fazlad\u0131r? A) 18 B) 26 C) 36 D) 44 4. A\u015fa\u011f\u0131da \u00fc\u00e7\u00fc mor, biri sar\u0131 renkli d\u00f6rt farkl\u0131 \u00e7ubuk g\u00f6sterilmi\u015ftir. 18 cm 41 cm 50 cm 2m Celal mor renkli \u00e7ubuklar\u0131n her birinin ucuna sar\u0131 renkli \u00e7ubuklardan bir par\u00e7a ekleyerek bu \u00e7ubuklar\u0131n santimetre cinsinden uzunluklar\u0131n\u0131 kendisine en yak\u0131n tam kare say\u0131ya e\u015fit h\u00e2le getirecektir. Bu i\u015fte mor renkli her \u00e7ubuk i\u00e7in tam ihtiyac\u0131 olan kadar sar\u0131 \u00e7ubuk kesecektir. Buna g\u00f6re Celal istedi\u011fine uygun \u015fekilde \u00e7ubuklar\u0131 ayarlad\u0131ktan sonra elinde ka\u00e7 santimetre sar\u0131 \u00e7ubuk kal\u0131r? A) 155 B) 166 C) 171 D) 178 8. S\u0131n\u0131f 95","Tam Kare Olmayan Say\u0131lar\u0131n Karek\u00f6klerinin Hangi \u0130ki Do\u011fal Say\u0131 Aras\u0131nda Oldu\u011funu Belirleme Tam Kare Olmayan Say\u0131lar\u0131n Karek\u00f6klerinin Hangi \u0130ki Do\u011fal Say\u0131 Aras\u0131nda Oldu\u011funu Belirleme Tam kare olmayan bir say\u0131n\u0131n karek\u00f6k\u00fcn\u00fcn hangi iki do\u011fal say\u0131 aras\u0131nda oldu\u011funu bulmak i\u00e7in: 1) Karek\u00f6k\u00fcn i\u00e7indeki say\u0131n\u0131n hangi iki tam kare say\u0131 aras\u0131nda oldu\u011fu bulunur. 2) Bulunan tam kare say\u0131lar\u0131n karek\u00f6k\u00fc al\u0131n\u0131r. \u00d6rnek: \u00e628 say\u0131s\u0131n\u0131n hangi ard\u0131\u015f\u0131k iki do\u011fal say\u0131 aras\u0131nda oldu\u011funu bulal\u0131m. 1) 28 say\u0131s\u0131 25 ve 36 tam kare say\u0131lar\u0131 aras\u0131ndad\u0131r. 2) 25\u2019in karek\u00f6k\u00fc \u00e625 = 5 ve 36\u2019n\u0131n karek\u00f6k\u00fc \u00e636 = 6\u2019d\u0131r. O y\u00fczden 5 < \u00e628 < 6 olur. Yani \u00e628, 5 ile 6 aras\u0131ndad\u0131r. Ayr\u0131ca 28 ile 25 aras\u0131nda 3 fark, 36 ile 28 aras\u0131nda 8 fark oldu\u011fu i\u00e7in \u00e628, 5\u2019e daha yak\u0131nd\u0131r. 23 \u0131) 280 =............................................................... i) 340 =............................................................... 1. A\u015fa\u011f\u0131da verilen karek\u00f6kl\u00fc ifadelerin hangi ard\u0131- j) 450 =............................................................... \u015f\u0131k iki do\u011fal say\u0131 aras\u0131nda oldu\u011funu bulunuz. a) \u00a77 = .................................................................... b) \u00e615 =.................................................................. k) 600 =............................................................... c) \u00e623 = ................................................................. 2. A\u015fa\u011f\u0131da verilen karek\u00f6kl\u00fc ifadelerin hangi do\u011fal \u00e7) \u00e639 = ................................................................. say\u0131ya yak\u0131n oldu\u011funu bulunuz. d) \u00e656 = ................................................................. a) \u00a76 = .................................................................... e) \u00e680 = ................................................................. b) \u00e617 =.................................................................. c) \u00e629 = ................................................................. f) \u00e693 = ................................................................. \u00e7) \u00e638 = ................................................................. g) 148 = ............................................................... d) \u00e671 =.................................................................. \u011f) 188 = ............................................................... e) \u00e697 = ................................................................. h) 250 =............................................................... f) 138 = ............................................................... 96 8. S\u0131n\u0131f","Tam Kare Olmayan Say\u0131lar\u0131n Karek\u00f6klerinin Hangi \u0130ki Do\u011fal Say\u0131 Aras\u0131nda Oldu\u011funu Belirleme 3. A\u015fa\u011f\u0131da verilen karek\u00f6kl\u00fc ifadelerin hangi ar- 5. A\u015fa\u011f\u0131daki i\u015flemlerin sonu\u00e7lar\u0131n\u0131n hangi ard\u0131\u015f\u0131k d\u0131\u015f\u0131k iki do\u011fal say\u0131 aras\u0131nda ve hangisine daha iki do\u011fal say\u0131 aras\u0131nda oldu\u011funu bulunuz. yak\u0131n oldu\u011funu \u00f6rnekteki gibi say\u0131 do\u011frusunda a) 4 + \u00a78 = .............................................................. g\u00f6steriniz. b) 3 + \u00e619 = ........................................................... a) \u00e610 3 3,5 4 c) 10 \u2013 \u00e651 =.......................................................... b) \u00e622 \u00e7) 13 \u2013 \u00ca108 = ........................................................ c) \u00e659 d) \u00a74 + \u00e654 = ......................................................... \u00e7) \u00e688 e) \u00ca150 + \u00e625 =...................................................... d) 115 e) 140 f) 200 6. A\u015fa\u011f\u0131daki ifadelerde A harfi yerine yaz\u0131labilecek do\u011fal say\u0131lar\u0131 bulunuz. a) \u00e610 < A < \u00e645 A = ......................... 4. A\u015fa\u011f\u0131daki ifadelerde yerlerine yaz\u0131labilecek b) \u00e635 < A < \u00e690 A = ......................... do\u011fal say\u0131lar\u0131n en k\u00fc\u00e7\u00fck ve en b\u00fcy\u00fck de\u011ferlerini bulunuz. a) 32 < < 42 \u00a1 = .......... = ......... c) \u00e618 < A < \u00e644 A = ......................... b) 72 < < 82 \u00a1 = .......... = ......... \u00e7) \u00e657 < A < \u00ca110 A = ......................... c) 92 < < 102 \u00a1 = .......... = ......... d) \u00e686 < A < \u00ca163 A = ......................... \u00e7) 122 < < 132 \u00a1 = .......... = ......... e) 0 < \u00e6A < 2 A = ......................... d) 152 < < 172 \u00a1 = .......... = ......... f) 1 < \u00e6A < 4 A = ......................... g) 3 < \u00e6A < 5 A = ......................... e) 202 < < 222 \u00a1 = .......... = ......... 8. S\u0131n\u0131f 97","Uyguluyorum Tam Kare Olmayan Say\u0131lar\u0131n Karek\u00f6klerinin Hangi Test \u0130ki Do\u011fal Say\u0131 Aras\u0131nda Oldu\u011funu Belirleme 22 1. \u00e639 say\u0131s\u0131 hangi ard\u0131\u015f\u0131k iki do\u011fal say\u0131 aras\u0131nda- 6. Karek\u00f6k\u00fc do\u011fal say\u0131 olmayan 50\u2019den k\u00fc\u00e7\u00fck ka\u00e7 d\u0131r? do\u011fal say\u0131 vard\u0131r? A) 4 ile 5 B) 5 ile 6 A) 38 B) 40 C) 42 D) 44 C) 6 ile 7 D) 7 ile 8 2. \u00ca152 say\u0131s\u0131na en yak\u0131n do\u011fal say\u0131 a\u015fa\u011f\u0131dakiler- 7. K den hangisidir? 15 15,5 16 A) 12 B) 13 C) 14 D) 15 Yukar\u0131daki say\u0131 do\u011frusunda K harfi ile g\u00f6sterilen say\u0131 a\u015fa\u011f\u0131dakilerden hangisi olabilir? A) \u00ca220 B) \u00ca242 C) \u00ca264 D) \u00ca285 3. A\u015fa\u011f\u0131daki say\u0131lardan hangisinin karek\u00f6k\u00fcn\u00fcn en 8. A\u015fa\u011f\u0131daki \u00fc\u00e7genler birim cinsinden kenar uzun- yak\u0131n oldu\u011fu do\u011fal say\u0131 bir asal say\u0131d\u0131r? luklar\u0131n\u0131n karek\u00f6k\u00fcn\u00fcn en yak\u0131n oldu\u011fu do\u011fal A) 18 B) 33 C) 40 D) 47 say\u0131ya e\u015fit olarak yeniden \u00e7izilirse hangisi e\u015fke- nar \u00fc\u00e7gen olur? A) 13 br B) 17 br 15 br 25 br 22 br 35 br 4. \u00e670 say\u0131s\u0131ndan b\u00fcy\u00fck en k\u00fc\u00e7\u00fck do\u011fal say\u0131 ka\u00e7- C) D) t\u0131r? 55 br 44 br A) 8 B) 9 C) 10 D) 11 48 br 43 br 38 br 32 br 5. Alan\u0131 190 cm2 olan bir karenin bir kenar uzunlu\u011fu 9. 3 < \u00e6m < 4,5 oldu\u011funa g\u00f6re m yerine yaz\u0131labile- hangi do\u011fal say\u0131ya en yak\u0131nd\u0131r? cek en b\u00fcy\u00fck ve en k\u00fc\u00e7\u00fck do\u011fal say\u0131lar\u0131n toplam\u0131 A) 13 B) 14 C) 15 D) 16 ka\u00e7t\u0131r? A) 30 B) 31 C) 32 D) 33 98 8. S\u0131n\u0131f","Test Tam Kare Olmayan Say\u0131lar\u0131n Karek\u00f6klerinin Hangi Uyguluyorum 22 \u0130ki Do\u011fal Say\u0131 Aras\u0131nda Oldu\u011funu Belirleme 10. m \u00ca210 n 13. A\u015fa\u011f\u0131da \u00e7ap uzunlu\u011fu ve yerden y\u00fcksekli\u011fi verilen dairesel hedef tahtas\u0131na bir at\u0131\u015f yap\u0131lm\u0131\u015ft\u0131r. Yukar\u0131daki say\u0131 do\u011frusunda m ve n ard\u0131\u015f\u0131k do\u011fal say\u0131lar oldu\u011funa g\u00f6re m + n ka\u00e7t\u0131r? K 3 dm A) 29 B) 28 C) 27 D) 26 11. A\u015fa\u011f\u0131daki balonlar\u0131n y\u00fckseklikleri, \u00fczerlerinde yazan 14 dm karek\u00f6kl\u00fc ifadelerin en yak\u0131n oldu\u011fu do\u011fal say\u0131ya e\u015fittir. At\u0131\u015f K noktas\u0131nda isabet etti\u011fine g\u00f6re bu nokta- n\u0131n desimetre cinsinden y\u00fcksekli\u011fi a\u015fa\u011f\u0131dakiler- \u00e655 \u00e673 \u00e690 \u00e697 den hangisi olabilir? A) \u00ca205 B) \u00ca215 C) \u00ca260 D) \u00ca290 Buna g\u00f6re hangi balonlar\u0131n y\u00fckseklikleri birbiri- 14. ne e\u015fittir? A) B) 4 5 6 7 8 9 10 Yukar\u0131daki say\u0131 do\u011frusunda ard\u0131\u015f\u0131k iki tam say\u0131 aras\u0131 C) D) 3 cm\u2019dir. Bu say\u0131 do\u011frusunda 4 noktas\u0131nda bulunan \u00e7ekir- ge \u00ca132 cm s\u0131\u00e7rad\u0131\u011f\u0131nda hangi iki say\u0131 aras\u0131nda bulunur? A) 6 ile 7 B) 7 ile 8 C) 8 ile 9 D) 9 ile 10 15. \u00c7ivi 24 cm 12. A\u015fa\u011f\u0131daki s\u0131ralamalardan hangisi yanl\u0131\u015ft\u0131r? Yukar\u0131da d\u00f6rt e\u015fit tahtan\u0131n \u00fcst \u00fcste yerle\u015ftirilme- A) 2 < \u00a75 < 3 B) 6 < \u00e641 < 7 siyle olu\u015fan \u015fekle \u00e7ak\u0131lan \u00e7ivinin tahtan\u0131n en \u00fcst C) \u00e628 < 6 < \u00e639 D) \u00e653 < 7 < \u00e662 hizas\u0131na uzakl\u0131\u011f\u0131 santimetre cinsinden a\u015fa\u011f\u0131da- kilerden hangisi olabilir? A) \u00ca300 B) \u00ca200 C) \u00e650 D) \u00e620 8. S\u0131n\u0131f 99"]