["Uyguluyorum Toplama ve \u00c7\u0131karma \u0130\u015fleminde Tahmin Test 11 1.\t A\u015fa\u011f\u0131daki say\u0131lardan hangisinin en yak\u0131n y\u00fczl\u00fc- 5.\t A\u015fa\u011f\u0131daki \u00e7\u0131karma i\u015fleminde say\u0131lar en yak\u0131n y\u00fczl\u00fc- \u011fe yuvarlanm\u0131\u015f \u015fekli di\u011ferlerinden farkl\u0131d\u0131r? \u011fe yuvarlan\u0131p \u00e7\u0131kar\u0131lacak ve i\u015flemin tahmini sonucu elde edilecektir. A) 3549\t B) 3508 750 \u2013 145 C) 3450\tD) 3449 Buna g\u00f6re verilen i\u015flemin tahmini sonucu ka\u00e7t\u0131r? A) 700\t B) 650\tC) 600\tD) 500 2.\t En yak\u0131n y\u00fczl\u00fc\u011fe yuvarland\u0131\u011f\u0131nda 2500 olan en b\u00fcy\u00fck say\u0131 ka\u00e7t\u0131r? A) 2549\t B) 2559 C) 2589\tD) 2599 6.\t \u00c7\u0131karma i\u015fleminin sonucunu tahmin ederken say\u0131lar\u0131 en yak\u0131n onlu\u011fa yuvarlayabiliriz. 138 \u2013 84 3.\t \t \u0130\u015flemin tahmini sonucu yukar\u0131daki kurala g\u00f6re yap\u0131- l\u0131yor. 24 758 \u2013 7499 Buna g\u00f6re i\u015flemin tahmini sonucu ile ger\u00e7ek so- nucu aras\u0131ndaki fark ka\u00e7t\u0131r? Yukar\u0131daki i\u015flemin sonucu, say\u0131lar en yak\u0131n binli- A) 2\t B) 4\tC) 6\tD) 8 \u011fe yuvarlanarak tahmin edildi\u011finde ka\u00e7 bulunur? A) 17 000\t B) 17 500 C) 18 000\tD) 18 500 7.\t Yeliz a\u015fa\u011f\u0131daki i\u015flemi say\u0131lar\u0131 en yak\u0131n y\u00fczl\u00fc\u011fe yu- varlayarak yapm\u0131\u015ft\u0131r. 4.\t Doruk a\u015fa\u011f\u0131daki i\u015flemin sonucunu bulurken, say\u0131lar\u0131 941 + 1259 en yak\u0131n onlu\u011fa yuvarl\u0131yor. Buna g\u00f6re Yeliz\u2019in buldu\u011fu sonu\u00e7 ile ger\u00e7ek so- 357 \u2013 212 nu\u00e7 aras\u0131ndaki fark ka\u00e7t\u0131r? Buna g\u00f6re verilen i\u015flemin tahmini sonucu ka\u00e7t\u0131r? A) 0\t B) 10\tC) 20\tD) 30 A) 140\t B) 150\tC) 160\tD) 170 50 5. S\u0131n\u0131f","Test Toplama ve \u00c7\u0131karma \u0130\u015fleminde Tahmin Uyguluyorum 11 8.\t \u00d6\u011fretmenin tahtaya yazd\u0131\u011f\u0131 a\u015fa\u011f\u0131daki toplama i\u015f- 11.\t A\u015fa\u011f\u0131daki i\u015flemlerden hangisinin sonucu, say\u0131lar lemini; Hakan, say\u0131lar\u0131 en yak\u0131n onlu\u011fa yuvarlaya- en yak\u0131n binli\u011fe yuvarlanarak tahmin edildi\u011finde rak, Murat ise say\u0131lar\u0131 en yak\u0131n y\u00fczl\u00fc\u011fe yuvarlayarak sonu\u00e7 8000 bulunur? yapm\u0131\u015ft\u0131r. A) 3784 + 4500\t B) 5675 + 2450 2358 + 671 C) 12 484 \u2013 5381\tD) 10 896 \u2013 3690 3029 Buna g\u00f6re Hakan ile Murat\u2019\u0131n buldu\u011fu sonu\u00e7lar aras\u0131ndaki fark ka\u00e7t\u0131r? A) 80\t B) 75\tC) 70\tD) 60 9.\t A\u015fa\u011f\u0131da iki farkl\u0131 bilgisayar\u0131n fiyat\u0131 verilmi\u015ftir. 12.\t 97 say\u0131s\u0131n\u0131n en yak\u0131n onlu\u011fa yuvarlanm\u0131\u015f hali A, 537 say\u0131s\u0131n\u0131n en yak\u0131n y\u00fczl\u00fc\u011fe yuvarlanm\u0131\u015f hali 12.345 TL 13.174 TL B ve 4501 say\u0131s\u0131n\u0131n en yak\u0131n binli\u011fe yuvarlanm\u0131\u015f hali C\u2019dir. Buna g\u00f6re A + B + C toplam\u0131n\u0131n sonucu a\u015fa\u011f\u0131da- kilerden hangisidir? A) 4600\t B) 4700\tC) 5600\tD) 4700 Fiyatlar\u0131 g\u00f6steren say\u0131lar en yak\u0131n y\u00fczl\u00fc\u011fe yuvar- lanarak toplan\u0131rsa sonu\u00e7 a\u015fa\u011f\u0131dakilerden hangisi olur? A) 25 000\t B) 25 400 13.\t C) 25 500\tD) 26 600 10.\t A\u015fa\u011f\u0131da verilen i\u015flemin sonucunu Arda en yak\u0131n bin- Toplama i\u015fleminin tahmini li\u011fe yuvarlayarak, Elif ise say\u0131lar\u0131 en yak\u0131n y\u00fczl\u00fc\u011fe sonucunu bulurken say\u0131lar\u0131 en yuvarlayarak tahmin ediyor. yak\u0131n y\u00fczl\u00fc\u011fe yuvarlay\u0131n\u0131z. 13 653 \u2013 9265 Yukar\u0131daki ifadeye g\u00f6re, a\u015fa\u011f\u0131daki ifadelerden Bulduklar\u0131 sonu\u00e7lar aras\u0131ndaki fark ka\u00e7t\u0131r? hangisinin tahmini sonucu ger\u00e7ek sonucundan A) 300\t B) 400\tC) 500\tD) 600 k\u00fc\u00e7\u00fckt\u00fcr? A) 488 + 276\t B) 259 + 361 C) 528 + 436\tD) 279 + 384 5. S\u0131n\u0131f 51","Do\u011fal Say\u0131larla \u00c7arpma \u0130\u015flemi \u00c7arpan\u0131n onlar ve y\u00fczler basama\u011f\u0131ndaki rakamla \u00e7arpma yap\u0131l\u0131rken sonu\u00e7 sola do\u011fru bir basamak kayd\u0131r\u0131larak ya- z\u0131l\u0131r. Bunun nedeni kayd\u0131r\u0131lan basamaklar\u0131n s\u0131f\u0131r (0) olmas\u0131 ve s\u0131f\u0131r\u0131n toplama i\u015fleminin sonucunu de\u011fi\u015ftirmemesidir. \u00d6rnek: 4x125 = 500 \u00d6rnek: 5x473 = 2365 2. yol: 7x125 = 875 20x473 = 9460 473 125 3x125 = 375 1. yol: x 374 473 x 25 2365 500 x 25 + 9 4 6 8750 2365 11825 + 37500 + 9460 46750 11825 \t\t Not: \u0130kinci yap\u0131lan i\u015flemler ilk i\u015flemin k\u0131sa yoldan yap\u0131l\u0131\u015f\u0131d\u0131r. 10 A\u015fa\u011f\u0131da verilen \u00e7arpma i\u015flemlerini yap\u0131n\u0131z. 1.\t 1 8 \t 2. 1 3 \t 3. 2 1 \t 4. 4 5 x6 x5 x8 x 92 5.\t 7 8 \t 6. 3 7 \t 7. 9 6 \t 8. 1 2 5 x 34 x 48 x 34 x 484 9.\t 1 0 8 \t 10. 3 2 8 \t 11. 2 3 5 \t 12. 4 2 9 x 250 x 215 x 74 x 356 52 5. S\u0131n\u0131f","Do\u011fal Say\u0131larla \u00c7arpma \u0130\u015flemi 13.\t 16.\t\t\t \t Yukar\u0131da verilen yumurta kolilerinde ka\u00e7 tane 512 yumurta oldu\u011funu \u00e7arpma i\u015flemi ile bulunuz. x 123 abcd klmn + 512 62976 \t Yukar\u0131daki \u00e7arpma i\u015fleminde abcd ve klmn sa- y\u0131lar\u0131n\u0131n toplam\u0131n\u0131 bulunuz. 14.\t 17.\t\t\t 385 x 26 abcd + efg klmnp \t Yukar\u0131daki \u015fekilde en k\u00fc\u00e7\u00fck karelerin her birine 6\u2019\u015far tane bu\u011fday konulmu\u015ftur. \t Yukar\u0131da verilenlere g\u00f6re, klmnp \u2013 (abcd + efg) \t Toplam ka\u00e7 bu\u011fday oldu\u011funu \u00e7arpma i\u015flemi ile i\u015fleminin sonucunu bulunuz. bulunuz. 15.\t\t x 35 40 25 18.\t A\u015fa\u011f\u0131daki tabloda iki farkl\u0131 \u00fcr\u00fcn\u00fcn sat\u0131\u015f adedi ile bi- rim fiyatlar\u0131 verilmi\u015ftir. 12 a 480 300 Adet Birim Fiyat (TL) 15 320 15 525 b c A marka 12 245 B marka \t Yukar\u0131da verilen tabloya g\u00f6re a + b + c i\u015fleminin \t Buna g\u00f6re toplam ka\u00e7 lira gelir elde edilir? sonucu ka\u00e7t\u0131r? 5. S\u0131n\u0131f 53","Do\u011fal Say\u0131larla \u00c7arpma \u0130\u015flemi 19.\t Bir okuldaki \u00f6\u011frenciler 45\u2019er yolcu kapasiteli 12 oto- 23.\t Y\u0131l sonu girece\u011fi s\u0131nav i\u00e7in haz\u0131rlanan Arda, hafta b\u00fcs\u00fc tamamen doldurarak geziye gidiyor. i\u00e7i g\u00fcnl\u00fck 125 soru, hafta sonu g\u00fcnl\u00fck 224 soru \u00e7\u00f6- z\u00fcyor. \t Bu okulun ka\u00e7 \u00f6\u011frencisi vard\u0131r? \t Buna g\u00f6re Arda bir haftada toplam ka\u00e7 soru \u00e7\u00f6- zer? 20.\t Bir \u00e7iftlikte 35 inek ve ineklerin 7 kat\u0131ndan 9 fazla 24.\t Bir markete dondurma sipari\u015flerini getiren bir don- say\u0131da koyun vard\u0131r. durma kamyonetinin i\u00e7inde 45 koli, her kolinin i\u00e7inde 24 paket, her paketin i\u00e7inde 18 dondurma vard\u0131r. \t Bu \u00e7iftlikteki inek ve koyunlar\u0131n toplam say\u0131s\u0131 ka\u00e7t\u0131r? \t Buna g\u00f6re markete ka\u00e7 dondurma getirilmi\u015ftir? 21. \t 13 tane 25.\t Bir simit\u00e7i tanesi 5 TL olan simitlerden g\u00fcnde 125 tane simit satmaktad\u0131r. \t Bir markette i\u00e7erisinde 10\u2019ar tane yumurta bulunan \t Buna g\u00f6re simit\u00e7i 45 g\u00fcnde toplam ka\u00e7 lira sat\u0131\u015f yumurta kolilerinden 13 adet vard\u0131r. yapar? \t Market yumurtalar\u0131n tanesini 2 TL\u2019den satt\u0131\u011f\u0131n- da toplam ka\u00e7 TL gelir elde edilir? 22.\t Bir okulda 28 tane s\u0131n\u0131f vard\u0131r. Her s\u0131n\u0131fta 12 s\u0131ra 26.\t A kentinden B kentine yar\u0131m\u015far saatlik iki mola ve- vard\u0131r ve her bir s\u0131rada 2 \u00f6\u011frenci oturmaktad\u0131r. rerek 7 saatte varan bir s\u00fcr\u00fcc\u00fc saatte ortalama 95 km h\u0131z yapm\u0131\u015ft\u0131r. \t B\u00fct\u00fcn s\u0131ralar tam dolu oldu\u011funa g\u00f6re bu okulda toplam ka\u00e7 \u00f6\u011frenci vard\u0131r? \t A kenti ile B kenti aras\u0131 ka\u00e7 kilometredir? 54 5. S\u0131n\u0131f","Test Do\u011fal Say\u0131larla \u00c7arpma \u0130\u015flemi Uyguluyorum 12 1.\t \t 4.\t A\u015fa\u011f\u0131da bir \u00e7arpma i\u015flemi verilmi\u015ftir. 75 x 32 701 x 204 Yukar\u0131da verilen \u00e7arpma i\u015fleminin sonucu ka\u00e7- .... t\u0131r? 0 0 0 +A B C D A) 2290\t B) 2300\tC) 2390\tD) 2400 143004 Bu i\u015flemde ABCD a\u015fa\u011f\u0131dakilerden hangisidir? A) 1402\t B) 1432\tC) 1442\tD) 1452 2.\t \t\t 483 75 x ? 5.\t A\u015fa\u011f\u0131da bir \u00e7arpma i\u015flemini yaparken yap\u0131lan i\u015flem- lerin ayr\u0131nt\u0131lar\u0131 verilmi\u015ftir. Yukar\u0131da verilen \u015femada \u201c?\u201d yerine a\u015fa\u011f\u0131daki sa- y\u0131lardan hangisi yaz\u0131lmal\u0131d\u0131r? A) 34 125\t B) 35 205 x 5 x 18 90 4 x 18 C) 36 225\tD) 37 325 + 7 2 810 Buna g\u00f6re bu i\u015flem a\u015fa\u011f\u0131dakilerden hangisidir? A) 15 x 47\t B) 18 x 45 C) 28 x 15\tD) 54 x 18 3.\t A\u015fa\u011f\u0131da bir \u00e7arpma i\u015flemi verilmi\u015ftir. 6.\t \t 354 x 72 ... + .... ABCDE 12 x 45 = \ufffd 24 x 25 = \ufffd Bu i\u015flemde ABCDE a\u015fa\u011f\u0131dakilerden hangisidir? Yukar\u0131da verilenlere g\u00f6re \ufffd \u2013 \ufffd i\u015fleminin sonucu ka\u00e7t\u0131r? A) 22 288\t B) 24 288 C) 25 388\tD) 25 488 A) 60\t B) 70\tC) 80\tD) 90 5. S\u0131n\u0131f 55","Uyguluyorum Do\u011fal Say\u0131larla \u00c7arpma \u0130\u015flemi Test 12 7.\t \t 13 12 10.\t Bir tavuk \u00e7iftli\u011finde 12 k\u00fcmes, her k\u00fcmeste de 240 x tavuk vard\u0131r. 24 Her tavuk g\u00fcnde iki defa yumurtlad\u0131\u011f\u0131na g\u00f6re, bu x \u00e7iftlikte iki haftada ka\u00e7 tane yumurta \u00fcretilir? (1 hafta = 7 g\u00fcn) A) 5760\t B) 20 160 ? C) 40 320\tD) 80 640 Yukar\u0131da verilen \u015femada \u201c?\u201d yerine a\u015fa\u011f\u0131daki sa- 11.\t y\u0131lardan hangisi gelmelidir? A) 3624\t B) 3644\tC) 3724\tD) 3744 8.\t \t\t x 24 32 15 Saatte ortalama 115 km yol olan bir otomobil 14 20 saatte ka\u00e7 kilometre yol alm\u0131\u015f olur? A) 1410\t B) 1510\tC) 1610\tD) 1710 Yukar\u0131da verilen tablo \u00e7arpma i\u015flemine g\u00f6re dol- durulursa a\u015fa\u011f\u0131daki say\u0131lardan hangisi yaz\u0131la- 12.\t Arda, \u00f6\u011fretmeninin verdi\u011fi bir \u00e7arpma i\u015flemini ya- maz? parken basamak kayd\u0131rmay\u0131 unutmu\u015f ve a\u015fa\u011f\u0131daki i\u015flemi yapm\u0131\u015ft\u0131r. A) 360\t B) 450\tC) 480\tD) 640 9.\t 215 Bir a\u011f\u0131rl\u0131k \u00f6l\u00e7\u00fcs\u00fc birimi olan \u201cons\u201d, yakla\u015f\u0131k 28 x 134 grama denk gelmektedir. 860 645 + 215 1720 Yukar\u0131daki bilgiye g\u00f6re 750 ons yakla\u015f\u0131k olarak Buna g\u00f6re Arda\u2019n\u0131n buldu\u011fu sonu\u00e7 i\u015flemin ger- ka\u00e7 gramd\u0131r? \u00e7ek sonucundan ka\u00e7 eksiktir? A) 19 600\t B) 20 600 A) 26 090\t B) 26 190 C) 20 000\tD) 21 000 C) 27 090\tD) 27 190 56 5. S\u0131n\u0131f","Do\u011fal Say\u0131larla B\u00f6lme \u0130\u015flemi B\u00f6l\u00fcnen B\u00f6len \u2022 Bir b\u00f6lme i\u015fleminde b\u00f6l\u00fcnen say\u0131, b\u00f6len ile b\u00f6l\u00fcm\u00fcn \u00e7arp\u0131m\u0131 ile kalan\u0131n toplam\u0131na e\u015fittir. \t B\u00f6l\u00fcnen = (B\u00f6len x B\u00f6l\u00fcm) + Kalan B\u00f6l\u00fcm Kalan \u2022 Bir b\u00f6lme i\u015fleminde kalan say\u0131 her zaman b\u00f6len say\u0131dan k\u00fc\u00e7\u00fckt\u00fcr. \u00d6rnek: \u00d6rnek: 95 7 95 = (7 x 13) + 4 1212 12 1\u2019in i\u00e7inde 12 7 13 95 = 91 + 4 12 101 olmad\u0131\u011f\u0131 i\u00e7in 25 0012 b\u00f6l\u00fcme s\u0131f\u0131r yaz\u0131l\u0131r. 21 \t 04 12 \t 00 11 A\u015fa\u011f\u0131da verilen b\u00f6lme i\u015flemlerini yap\u0131n\u0131z. 1.\t 7 2 3 2.\t 8 4 4 7.\t 2 3 2 5 1 5 8.\t 1 1 2 5 2 5 3.\t 9 1 0 1 4 4.\t 4 0 0 2 5 9.\t 1 4 5 0 2 1 10. 1 5 1 5 1 5 5.\t 3 3 8 1 5 6.\t 4 5 0 1 5 11. 2 4 4 5 2 4 12. 6 0 1 5 1 5 5. S\u0131n\u0131f 57","Do\u011fal Say\u0131larla B\u00f6lme \u0130\u015flemi 13.\t 1300 metre uzunlu\u011fundaki bir kablo, 25 metrelik par- 17.\t 1272 litre zeytinya\u011f\u0131 6 litrelik \u015fi\u015felere doldurulup \u00e7alara ayr\u0131larak sat\u0131lacakt\u0131r. \u015fi\u015fenin tanesi 359 TL\u2019den sat\u0131ld\u0131\u011f\u0131nda ka\u00e7 lira ka- zan\u00e7 elde edilir? Ka\u00e7 par\u00e7a elde edilece\u011fini bulunuz. 14.\t 7,5 saat 665 km yol alan bir s\u00fcr\u00fcc\u00fc yolculuk boyunca 18.\t Bir \u00fcretici tarlas\u0131ndan 2176 kg patatesi her biri 32 kg 30 dakika mola vermi\u015ftir. patates alan \u00e7uvallara koyarak pazara g\u00f6t\u00fcrd\u00fc. Bu s\u00fcr\u00fcc\u00fcn\u00fcn saatteki ortalama h\u0131z\u0131 ka\u00e7 kilomet- \u00dcretici bu i\u015f i\u00e7in ka\u00e7 tane \u00e7uval kullanm\u0131\u015ft\u0131r? redir? 15.\t 9600 TL para 12 ki\u015fi aras\u0131nda e\u015fit miktarda payla- 19.\t Bir \u00fcretici, \u00fcretti\u011fi 865 kg elmay\u0131 her bir kasada 25 kg \u015f\u0131l\u0131rsa her birine ka\u00e7 TL d\u00fc\u015fer? elma olacak \u015fekilde kasalara koymu\u015ftur. Bu i\u015f i\u00e7in ka\u00e7 kasa kullan\u0131ld\u0131\u011f\u0131n\u0131 ve ka\u00e7 kilogram elma artt\u0131\u011f\u0131n\u0131 bulunuz. 16.\t Arda 9600 TL\u2019ye cep telefonu sat\u0131n alm\u0131\u015ft\u0131r. 20.\t Bir manav 420 kg elmay\u0131 5 kg\u2019l\u0131k ve 8 kg\u2019l\u0131k po\u015fetlere doldurmu\u015ftur. 1250 TL\u2019sini pe\u015fin \u00f6deyip geri kalan\u0131n\u0131 25 taksitle \u00f6derse ayl\u0131k taksiti ka\u00e7 lira olur? 5 kg\u2019l\u0131k 12 po\u015fet oldu\u011funa g\u00f6re 8 kg\u2019l\u0131k ka\u00e7 po\u015fet doldurmu\u015ftur? 58 5. S\u0131n\u0131f","Test Do\u011fal Say\u0131larla B\u00f6lme \u0130\u015flemi Uyguluyorum 13 1.\t A\u015fa\u011f\u0131da bir b\u00f6lme i\u015flemi verilmi\u015ftir. 5.\t A\u015fa\u011f\u0131daki b\u00f6lme i\u015flemi kalanl\u0131 bir b\u00f6lme i\u015flemidir. 749 7 ..... 15 Bu b\u00f6lme i\u015fleminde b\u00f6l\u00fcm ka\u00e7t\u0131r? A) 17\t B) 101\tC) 106\tD) 107 Buna g\u00f6re bu b\u00f6lme i\u015flemindeki kalan a\u015fa\u011f\u0131daki- lerden hangisi olamaz? A) 16\t B) 14\tC) 8\tD) 1 2.\t A\u015fa\u011f\u0131da bir b\u00f6lme i\u015flemi verilmi\u015ftir. 2320 32 6.\t A\u015fa\u011f\u0131da bir b\u00f6lme i\u015flemi verilmi\u015ftir. Bu b\u00f6lme i\u015flemindeki kalan ka\u00e7t\u0131r? A) 6\t B) 16\tC) 18\tD) 20 815 25 32 15 Bu b\u00f6lme i\u015fleminin do\u011frulu\u011funu kontrol etmek i\u00e7in a\u015fa\u011f\u0131daki i\u015flemlerden hangisi yap\u0131labilir? 3.\t \t\t A) (25 x 15) + 32\t B) (25 + 32) x 15 8484 42 C) (25 x 32) + 15\tD) (25 x 32) \u2013 15 Bu b\u00f6lme i\u015fleminde b\u00f6l\u00fcm ka\u00e7t\u0131r? A) 22\t B) 42\tC) 202\tD) 404 7.\t \t 4.\t \t\t 420 : 15 K = 600 : 12 L = 720 : 18 Yukar\u0131daki b\u00f6lme i\u015fleminde b\u00f6l\u00fcm ka\u00e7t\u0131r? Yukar\u0131da verilen i\u015flemlere g\u00f6re K + L ka\u00e7t\u0131r? A) 22\t B) 24\tC) 26\tD) 28 A) 80\t B) 90\tC) 100\tD) 110 5. S\u0131n\u0131f 59","Uyguluyorum Do\u011fal Say\u0131larla B\u00f6lme \u0130\u015flemi Test 13 8.\t Bir b\u00f6lme i\u015fleminde b\u00f6l\u00fcnen 824, b\u00f6len 21\u2019dir. 11.\t Fatma a\u015fa\u011f\u0131daki etiket fiyat\u0131 verilen tabletin \u00fccreti- nin bir k\u0131sm\u0131n\u0131 pe\u015fin \u00f6dedikten sonra kalan k\u0131sm\u0131n\u0131 8 Buna g\u00f6re bu b\u00f6lme i\u015flemindeki b\u00f6l\u00fcm kalandan taksitle \u00f6deyecektir. ka\u00e7 fazlad\u0131r? 4200 TL A) 39\t B) 34\tC) 32\tD) 29 Her bir taksit 475 TL oldu\u011funa g\u00f6re pe\u015fin \u00f6dedi\u011fi k\u0131sm\u0131 veren i\u015flem a\u015fa\u011f\u0131dakilerden hangisidir? A) (4200 \u2013 475) : 8\t B) 4200 \u2013 (475 x 8) C) (4200 : 8) \u2013 475\tD) (4200 : 475) x 8 9.\t A\u015fa\u011f\u0131da bir b\u00f6lme i\u015fleminin do\u011frulu\u011funu kontrol et- mek i\u00e7in yap\u0131lan i\u015flemler verilmi\u015ftir. 18 x 14 = 252 252 + 12 = 264 Buna g\u00f6re bu b\u00f6lme i\u015flemi a\u015fa\u011f\u0131dakilerden han- gisidir? A) 2 6 4 1 8 \t B) 2 6 4 1 4 12.\t 600 asker sabah sporu i\u00e7in 18 ki\u015filik gruplara ay- 12 18 r\u0131l\u0131rsa son gruba ka\u00e7 asker kal\u0131r? 14 15 A) 5\t B) 6\tC) 7\tD) 8 C) 2 6 4 1 2 \tD) 2 6 4 1 8 14 14 18 12 13.\t \t 195 16 x 10.\t \t\t A 48 : 2121 21 B Bu b\u00f6lme i\u015fleminde b\u00f6l\u00fcm ka\u00e7t\u0131r? Yukar\u0131daki i\u015flem a\u011fac\u0131nda verilen B say\u0131s\u0131 a\u015fa\u011f\u0131- dakilerden hangisidir? A) 11\t B) 100\tC) 101\tD) 111 A) 64\t B) 65\tC) 66\tD) 67 60 5. S\u0131n\u0131f","Do\u011fal Say\u0131larla \u00c7arpma ve B\u00f6lme \u0130\u015fleminin Sonucunu Tahmin Etme \u2022 \u00c7arpma i\u015flemlerinin sonucunu tahmin ederken uygun yuvarlama y\u00f6ntemlerini kullanabiliriz. \u00d6rnek: 32 x 88 i\u015fleminin ger\u00e7ek sonucu ile \u00d6rnek: 42 x 285 i\u015fleminin sonucunu say\u0131lar\u0131 tahmini sonu\u00e7 aras\u0131ndaki fark\u0131 bulal\u0131m. uygun say\u0131lara yuvarlayarak tahmin edelim ve tahmini sonu\u00e7 ile ger\u00e7ek sonu\u00e7 aras\u0131ndaki fark\u0131 bulal\u0131m. Ger\u00e7ek sonu\u00e7 = 32 x 88 = 2816 Tahmini sonu\u00e7 = 42 x 285 = Tahmini sonu\u00e7 = 32 x 88 = 40 x 300 = 12 000 30 x 90 = 2700 Ger\u00e7ek Sonu\u00e7 = 42 x 285 = 11 970 Ger\u00e7ek sonu\u00e7 \u2013 Tahmini sonu\u00e7 = 2816 \u2013 2700 = 116 Tahmini sonu\u00e7 \u2013 Ger\u00e7ek sonu\u00e7 = 12 000 \u2013 11 970 \t\t\t\t\t = 30 \u2022 \u0130ki basamakl\u0131 bir say\u0131n\u0131n bir basamakl\u0131 bir say\u0131ya b\u00f6l\u00fcm\u00fc tahmin edilirken, b\u00f6l\u00fcnen say\u0131 b\u00f6len say\u0131n\u0131n kolay i\u015flem yapabilece\u011fimiz bir kat\u0131na yuvarlan\u0131r. \u00d6rnek: 78 : 8 = ? 89 : 4 = ? i\u015flemlerinin sonucunu tahmin edelim. 80 : 8 = 10 88 : 4 = 22 \u2022 \u00dc\u00e7 basamakl\u0131 say\u0131lar\u0131 bir veya iki basamakl\u0131 say\u0131lara b\u00f6lerken; say\u0131n\u0131n ilk iki basama\u011f\u0131 b\u00f6lenin yak\u0131n bir kat\u0131na yuvarlan\u0131r. Say\u0131n\u0131n birler basama\u011f\u0131 s\u0131f\u0131r kabul edilir. \u00d6rnek: 558 : 6 = ? 278 : 5 = ? 472 : 8 = ? i\u015flemlerinin sonucunu tahmin edelim. 540 : 6 = 90 250 : 5 = 250 480 : 8 = 60 12 2.\t A\u015fa\u011f\u0131daki b\u00f6lme i\u015flemlerinin tahmini sonu\u00e7lar\u0131n\u0131 bulunuz. 1.\t A\u015fa\u011f\u0131daki \u00e7arpma i\u015flemlerinin tahmini sonu\u00e7- lar\u0131n\u0131 \u00e7arpanlar\u0131n\u0131 en yak\u0131n onlu\u011fa yuvarlayarak bulunuz. \u0130\u015flem Tahmini Sonu\u00e7 \u0130\u015flem Tahmini Sonu\u00e7 89 : 9 178 x 19 265 : 8 75 x 18 929 : 18 24 x 98 624 : 12 237 x 17 789 : 25 521 x 48 987 : 15 314 x 25 5. S\u0131n\u0131f 61","Do\u011fal Say\u0131larla \u00c7arpma ve B\u00f6lme \u0130\u015fleminin Sonucunu Tahmin Etme 3.\t A\u015fa\u011f\u0131daki \u00e7arpma i\u015flemlerinin tahmini sonu\u00e7la- 5.\t \t\t r\u0131n\u0131 \u00e7arpanlar\u0131 en yak\u0131n onlu\u011fa yuvarlayarak bu- lunuz. Aralar\u0131ndaki kutulara \u201c>, =, <\u201d sembollerin- 312 x 488 den uygun olan\u0131 yerle\u015ftiriniz. \u0130\u015fleminin ger\u00e7ek sonucu ile \u00e7arpanlar\u0131n en yak\u0131n a)\t 13 x 85 12 x 97 y\u00fczl\u00fc\u011fe yuvarlanm\u0131\u015f tahmini sonucu aras\u0131ndaki fark\u0131 bulunuz. b)\t 45 x 72 102 x 28 c)\t 18 x 76 21 x 83 6.\t \t\t \u00e7)\t 18 x 295 24 x 305 738 : 18 d)\t 57 x 65 42 x 89 \u0130\u015flemi ile ilgili; a)\t Tahmini sonu\u00e7 = ? 4.\t A\u015fa\u011f\u0131da verilen b\u00f6lme i\u015flemlerinin tahmini so- b)\t Ger\u00e7ek sonu\u00e7 = ? nu\u00e7lar\u0131n\u0131 bulup e\u015fle\u015ftiriniz. c)\t Ger\u00e7ek sonu\u00e7 \u2013 tahmini sonu\u00e7 = ? 68 : 7 1 a 16 285 : 14 2 b 30 82 : 5 3 \u00e7 10 495 : 16 4 d 40 7.\t Bir okul 632 \u00f6\u011frencisini geziye g\u00f6t\u00fcrecektir. 825 : 20 5 e 50 T\u00fcm \u00f6\u011frencileri ta\u015f\u0131mak i\u00e7in 16 yolcu kapasiteli servislerden tahmini ka\u00e7 tane gerekir? 916 : 18 6 f 20 62 5. S\u0131n\u0131f","Test \u00c7arpma ve B\u00f6lme \u0130\u015fleminde Tahmin Uyguluyorum 14 1.\t 5.\t Bir \u00e7arpma i\u015fleminin sonucu tahmin edilirken say\u0131lar en yak\u0131n onlu\u011fa yuvarlan\u0131r. 238x27 i\u015fleminin tahmini sonucu bulunurken I.\t 61 x 25 II.\t 11 x 60 200x30 i\u015flemini yapt\u0131m III.\t 30 x 24 IV.\t 45 x 39 Arda\u2019n\u0131n yapt\u0131\u011f\u0131 y\u00f6nteme g\u00f6re, 372 x 24 i\u015fleminin tahmini sonucu ka\u00e7t\u0131r? Yukar\u0131da verilen \u00e7arpma i\u015flemlerinden hangileri- A) 8000\t B) 9000\tC) 10 000\tD) 12 000 nin tahmini sonucu ger\u00e7ek sonucundan b\u00fcy\u00fck- t\u00fcr? A) I ve II\t B) II ve III\tC) III ve IV\tD) I ve IV 2.\t A\u015fa\u011f\u0131daki \u00e7arpma i\u015fleminin tahmini sonucu, say\u0131lar en yak\u0131n y\u00fczl\u00fc\u011fe yuvarlanarak bulunacakt\u0131r. 438 x 179 6.\t \u00c7arpma i\u015fleminde sonucu yakla\u015f\u0131k olarak bulmak i\u00e7in say\u0131lar\u0131 en yak\u0131n onlu\u011fa yuvarlay\u0131n\u0131z. Buna g\u00f6re tahmini sonu\u00e7 ka\u00e7t\u0131r? Bir sanat g\u00f6sterisinde tanesi 72 TL\u2019den 426 tane bilet sat\u0131lm\u0131\u015ft\u0131r. A) 40 000\t B) 60 000 C) 80 000\tD) 90 000 Bu g\u00f6steride biletlerden elde edilen gelir tahmini olarak ka\u00e7 lirad\u0131r? A) 29 400\t B) 30 100 3.\t \t C) 33 600\tD) 34 400 138 x 15 \u0130\u015fleminin tahmini sonucu say\u0131lar en yak\u0131n onlu\u011fa yuvarlanarak bulunursa tahmini sonu\u00e7 ka\u00e7 olur? A) 1400\t B) 1500\tC) 2800\tD) 3000 4.\t \t 7.\t \t 18 x 273 158 : 8 \u0130ki basamakl\u0131 say\u0131lar\u0131 en yak\u0131n onlu\u011fa, \u00fc\u00e7 basa- Yukar\u0131daki b\u00f6lme i\u015fleminin tahmini sonucu ka\u00e7- makl\u0131 say\u0131lar\u0131 en yak\u0131n y\u00fczl\u00fc\u011fe yuvarlayarak ya- t\u0131r? p\u0131lan tahmini sonu\u00e7 a\u015fa\u011f\u0131dakilerden hangisidir? A) 20\t B) 30\tC) 40\tD) 50 A) 3000\t B) 4000\tC) 5000\tD) 6000 5. S\u0131n\u0131f 63","Uyguluyorum \u00c7arpma ve B\u00f6lme \u0130\u015fleminde Tahmin Test 14 8.\t \t\t 984 12 11.\t Bir \u00e7i\u00e7ek\u00e7i elindeki 465 tane \u00e7i\u00e7e\u011fi 8 gruba ay\u0131rmak istiyor. : Buna g\u00f6re her bir grupta ka\u00e7 tane \u00e7i\u00e7ek oldu\u011funu g\u00f6steren en yak\u0131n tahmini sonu\u00e7 a\u015fa\u011f\u0131dakilerden ? hangisidir? \u0130\u015fleminin ger\u00e7ek sonucu ile tahmini sonucu ara- A) 50\t B) 55\tC) 60\tD) 65 s\u0131ndaki fark ka\u00e7t\u0131r? A) 0\t B) 1\tC) 2\tD) 3 9.\t 12.\t Bir kavanozda 438 tane \u015feker vard\u0131r. \u00d6\u011fretmeninin tahtaya yazd\u0131\u011f\u0131 bir b\u00f6lme i\u015flemi- nin sonucunu tahmin etmek isteyen Bade; Bu \u015fekerleri 15 po\u015fete e\u015fit say\u0131da da\u011f\u0131tmak is- \t 960 : 16 = 60 i\u015flemini yapt\u0131. tersek bir po\u015fete tahmini ka\u00e7 tane \u015feker d\u00fc\u015fer? A) 20\t B) 25\tC) 30\tD) 35 Bade\u2019nin yapt\u0131\u011f\u0131 i\u015flem do\u011fru oldu\u011funa g\u00f6re, \u00f6\u011f- retmennin tahtaya yazd\u0131\u011f\u0131 i\u015flem a\u015fa\u011f\u0131dakilerden hangisi olamaz? A) 958 : 16\t B) 904 : 16 C) 897 : 16\tD) 812 : 16 10.\t 13.\t A\u015fa\u011f\u0131daki i\u015flemin tahmini sonucu; say\u0131lar en yak\u0131n Poyraz 802 say\u0131s\u0131n\u0131n bir say\u0131 ile \u00e7arp\u0131m\u0131n\u0131n onlu\u011fa yuvarlanarak yap\u0131l\u0131rsa A, en yak\u0131n y\u00fczl\u00fc\u011fe tahmini sonucunu 240 000 buluyor. Yapt\u0131\u011f\u0131 i\u015f- yuvarlanarak yap\u0131l\u0131rsa B say\u0131s\u0131 elde edilir. lemleri kontrol ederken buldu\u011fu tahmini sonu- cun ger\u00e7ek sonu\u00e7tan k\u00fc\u00e7\u00fck oldu\u011funu g\u00f6r\u00fcyor. 106 x 275 Buna g\u00f6re Poyraz 802 say\u0131s\u0131n\u0131 a\u015fa\u011f\u0131daki say\u0131lar- Buna g\u00f6re A \u2013 B i\u015fleminin sonucu ka\u00e7t\u0131r? dan hangisi ile \u00e7arpm\u0131\u015f olabilir? A) 960\t B) 800\tC) 700\tD) 600 A) 275\t B) 289\tC) 296\tD) 308 64 5. S\u0131n\u0131f","Do\u011fal Say\u0131larla Zihinden \u00c7arpma ve B\u00f6lme \u0130\u015flemleri \u2022 Bir do\u011fal say\u0131y\u0131; 10 ile \u00e7arparken sonuna bir tane s\u0131f\u0131r, \u2022 Bir say\u0131y\u0131 5 ile zihinden \u00e7arpmak i\u00e7in say\u0131n\u0131n sonuna 100 ile \u00e7arparken sonuna iki tane s\u0131f\u0131r, 1000 ile \u00e7arparken bir s\u0131f\u0131r ekleyip 2\u2019ye b\u00f6leriz. (10 ile \u00e7arp\u0131p 2\u2019ye b\u00f6leriz.) sonuna \u00fc\u00e7 tane s\u0131f\u0131r eklenir. \u00d6rnek: 23 x 10 = 230, 27 x 100 = 2700 \u00d6rnek: 16 x 5 i\u015flemini zihinden yapal\u0131m. 16 x 5 \u2020 160 : 2 = 80 \t\t \t 38 x 1000 = 38 000 \u2022 Bir say\u0131y\u0131 9 ile zihinden \u00e7arpmak i\u00e7in say\u0131y\u0131 10 ile \u00e7ar- \u00d6rnek: 35 x 200 i\u015flemini yapal\u0131m. p\u0131p sonu\u00e7tan say\u0131n\u0131n kendisini bir kez \u00e7\u0131kar\u0131r\u0131z. \t\t \t 35 x 2 = 70 \u00d6rnek: 45 x 9 i\u015flemini zihinden yapal\u0131m. \t\t \t 35 x 200 = 7000 45 x 9 \u2020 45 x 10 = 450 \u2013 45 = 405 \u2022 Bir say\u0131y\u0131 8 ile zihinden \u00e7arpmak i\u00e7in say\u0131y\u0131 \u00fc\u00e7 kez arka \u2022 Bir say\u0131y\u0131 25 ile zihinden \u00e7arpmak i\u00e7in say\u0131y\u0131 100 ile arkaya 2 ile \u00e7arpar\u0131z. \u00e7arpar buldu\u011fumuz say\u0131y\u0131 4\u2019e b\u00f6leriz. \u00d6rnek: 12 x 8 i\u015flemini zihinden yapal\u0131m. \u00d6rnek: 32 x 25 i\u015flemini zihinden yapal\u0131m. \u00c7\u00f6z\u00fcm: 12 x 2 = 24, 24 x 2 = 48, 48 x 2 = 96 32 x 100 = 3200, 3200 : 4 = 800 \u2022 Bir say\u0131y\u0131 iki basamakl\u0131 bir say\u0131 ile zihinden \u00e7arparken 32 x 25 = 800 olur. say\u0131lar onluk ve birliklerine ayr\u0131l\u0131p \u00e7arp\u0131labilir. \u2022 Bir say\u0131y\u0131 11 ile zihinden \u00e7arpmak i\u00e7in say\u0131y\u0131 10 ile \u00e7ar- \u00d6rnek: 5 x 68 i\u015flemini zihinden yapal\u0131m. p\u0131p sonuca say\u0131n\u0131n kendisini bir kez ekleniz. \u00c7\u00f6z\u00fcm: 68 = 60 + 8 \u00d6rnek: 35 x 11 i\u015flemini zihinden yapal\u0131m. 35 x 10 = 350, 350 + 35 = 385 \t \t 5 x 68 = 5 x 60 + 5 x 8 \t\t \t = 300 + 40 = 340 olur. \u2022 Son basamaklar\u0131nda s\u0131f\u0131r bulunan say\u0131larla b\u00f6lme i\u015f- \u2022 Bir say\u0131y\u0131 zihinden 5\u2019e b\u00f6lmek i\u00e7in say\u0131y\u0131 \u00f6nce iki ile lemi yaparken b\u00f6len ve b\u00f6l\u00fcnen say\u0131lardan e\u015fit say\u0131da \u00e7arpar\u0131z, sonra sonucu 10\u2019a b\u00f6leriz. s\u0131f\u0131r silinir. \u00d6rnek: 85 : 5 i\u015flemini zihinden yapal\u0131m. \u00d6rnek: 68 0 : 1 0 = 68 54 0 0 : 1 0 0 = 54 \u00c7\u00f6z\u00fcm: 85 x 2 = 170 170 : 10 = 17 13 1.\t A\u015fa\u011f\u0131daki i\u015flemleri zihinden yap\u0131n\u0131z. a) 8 x 10 = ................................ e) 450 x 20 = ........................... \u0131) 28 x 5 = ................................ i) 34 x 5 = ................................ b) 12 x 100 = ............................ f) 180 x 400 = ........................... j) 54 x 5 = ................................ k) 18 x 9 = ................................ c) 150 x 10 = ............................ g) 210 x 200 = .......................... l) 24 x 9 = ................................ \u00e7) 200 x 500 = ......................... \u011f) 8 x 600 = ............................. d) 1200 x 50 = .......................... h) 15 x 200 = ............................ 5. S\u0131n\u0131f 65","Do\u011fal Say\u0131larla Zihinden \u00c7arpma ve B\u00f6lme \u0130\u015flemleri 2.\t A\u015fa\u011f\u0131daki tabloda verilen say\u0131lar\u0131 k\u0131sa yoldan t) 140 : 10 = ............................................................. \u00e7arparak tabloyu doldurunuz. k) 1800 : 600 = ........................................................ l) 8400 : 200 = ........................................................ x 10 100 20 300 m) 24 000 : 3000 = ................................................. 15 n) 2500 : 50 = ......................................................... 24 o) 13 000 : 1000 = ................................................... 120 \u00f6) 7500 : 100 = ....................................................... 25 p) 15 000 : 300 = .................................................... 75 3.\t A\u015fa\u011f\u0131da verilen \u00e7arpma ve b\u00f6lme i\u015flemlerini zi- hinden yap\u0131n\u0131z. a) 35 x 8 = ........... b) 45 x 8 = ........... c) 32 x 5 = ........... \u00e7) 12 x 5 = ............ r) 85 000 : 500 = ..................................................... s) 8400 : 70 = ......................................................... d) 16 x 9 = ............ e) 55 x 9 = ........... \u015f) 7000 : 1000 = ...................................................... f) 40 x 25 = .......... g) 48 x 25 = ......... t) 96 000 : 3000 = ................................................... \u00f6) 4800 :120 = ........................................................ \u011f) 36 x 11 = .......... h) 45 x 11 = .......... \u00fc) 8000 : 1600 = ..................................................... v) 9000 : 1500 = ...................................................... \u0131) 175 : 5 = ............ i) 85 : 5 = ............. y) 32 000 : 400 = .................................................... z) 72 000 : 2400 = .................................................. 66 5. S\u0131n\u0131f","Test Zihinden \u00c7arpma ve B\u00f6lme \u0130\u015flemi Uyguluyorum 15 1.\t \t A = 85 x 100 4.\t \t 5600 : 70 = A B = 17 x 10 A:5=B Yukar\u0131daki \u00e7arpma i\u015flemlerine g\u00f6re, Yukar\u0131da verilen i\u015flemlere g\u00f6re B a\u015fa\u011f\u0131dakiler- den hangisidir? \t\t A:B A) 8\t B) 10\tC) 16\tD) 20 i\u015fleminin sonucu ka\u00e7t\u0131r? A) 50\t B) 60\tC) 75\tD) 80 5.\t A\u015fa\u011f\u0131daki i\u015flemlerden hangisinin sonucu yanl\u0131\u015f- t\u0131r? 2.\t Hakan bir b\u00f6lme i\u015flemini zihinden yaparken a\u015fa\u011f\u0131da A) 8500 : 100 = 85\t B) 8500 : 50 = 170 s\u00f6yledi\u011fi iki i\u015flemi kullan\u0131yor. C) 8500 : 85 = 100\tD) 8500 : 17 = 50 175 x 2 = 350 350 : 10 = 35 Buna g\u00f6re Hakan\u2019\u0131n zihinden yapt\u0131\u011f\u0131 i\u015flem a\u015fa\u011f\u0131- 6.\t \t\t 48 000 : 10 = A dakilerden hangisidir? A : 160 = B B x 40 = C A) 175 : 10\t B) 175 : 5 C) 350 : 5\tD) 350 : 10 i\u015flemlerine g\u00f6re C say\u0131s\u0131 a\u015fa\u011f\u0131dakilerden hangi- sidir? A) 120\t B) 600\tC) 700\tD) 1200 3.\t \t\t 46 x K \u0130\u015flemini zihinden yapan Zeynep, yapt\u0131\u011f\u0131 i\u015flemleri a\u015fa\u011f\u0131daki gibi yaz\u0131yor. \t\t 46 x 10 = 460 7.\t 54 000 : 100 :5 ? 460 : 2 = 230 Buna g\u00f6re Zeynep\u2019in yapt\u0131\u011f\u0131 i\u015flemdeki K a\u015fa\u011f\u0131- Yukar\u0131da \u015femada verilen i\u015flemler do\u011fru olarak dakilerden hangisidir? yap\u0131ld\u0131\u011f\u0131nda \u201c?\u201d yerine a\u015fa\u011f\u0131daki say\u0131lardan han- gisi yaz\u0131lmal\u0131d\u0131r? A) 2\t B) 5\tC) 10\tD) 25 A) 18\t B) 108\tC) 180\tD) 1080 5. S\u0131n\u0131f 67","Uyguluyorum Zihinden \u00c7arpma ve B\u00f6lme \u0130\u015flemi Test 15 8.\t \t\t 370 : 5 11.\t \t 36 x 10 = K 5 x 1000 = L i\u015flemini zihinden yapan Yeliz yapt\u0131\u011f\u0131 i\u015flemlerin ilk ad\u0131m\u0131n\u0131 a\u015fa\u011f\u0131daki gibi yaz\u0131yor. Yukar\u0131daki \u00e7arpma i\u015flemine g\u00f6re K + L i\u015fleminin sonucu ka\u00e7t\u0131r? 370 x 2 = 740 A) 5360\t B) 5036\tC) 860\tD) 806 Yeliz i\u015flemi iki ad\u0131mla yapt\u0131\u011f\u0131na g\u00f6re, ikinci ad\u0131m a\u015fa\u011f\u0131dakilerden hangisidir? A) 740 \u2013 600 = 140\t B) 740 : 5 = 148 C) 740 : 10 = 74\tD) 740 : 20 = 37 12.\t \t 84 000 : 700 = A A x 300 = B Yukar\u0131da verilen i\u015flemlere g\u00f6re B ka\u00e7t\u0131r? A) 360\t B) 3600\tC) 18 000\tD) 36 000 9.\t A\u015fa\u011f\u0131da bir \u00e7arpma i\u015fleminin zihinden yap\u0131l\u0131\u015f\u0131n\u0131n i\u015f- lem basamaklar\u0131 verilmi\u015ftir. 64 x 10 = 640 640 \u2013 64 = 576 13.\t \t\t Buna g\u00f6re bu i\u015flem a\u015fa\u011f\u0131dakilerden hangisidir? 125 x 800 A) 64 x 15\t B) 64 x 11 C) 64 x 9\tD) 64 x 8 \u0130\u015fleminin sonucunun sondan ka\u00e7 basama\u011f\u0131 s\u0131f\u0131r- d\u0131r? A) 6\t B) 5\tC) 4\tD) 3 14.\t \t\t 10.\t \t 45 x 9 300 000 : 5000 = A i\u015flemini zihinden yapan bir \u00f6\u011frencinin yapt\u0131\u011f\u0131 i\u015f- 36 000 : 900 = B lem basamaklar\u0131ndan biri a\u015fa\u011f\u0131dakilerden hangi- si olabilir? Yukar\u0131da verilen i\u015flemlere g\u00f6re A x B ka\u00e7t\u0131r? A) 2400\t B) 1200\tC) 240\tD) 24 A) 450 + 9\t B) 450 \u2013 45 C) 450 \u2013 9\tD) 450 + 45 68 5. S\u0131n\u0131f","B\u00f6lme \u0130\u015fleminde Kalan\u0131 Yorumlama B\u00f6lme problemlerinde problemin durumuna g\u00f6re kalan ihmal edilebilir, b\u00f6len say\u0131ya yuvarlanabilir veya kesir olarak ifade edilebilir. \u00d6rnek: Bir spor merkezine giden 17 arkada\u015f \u00d6rnek: Bir turist grubunda 43 ki\u015fi vard\u0131r. iki\u015fer iki\u015fer e\u015fle\u015ferek masa tenisi oynamak istiyorlar. Bu grup bir otelde, her odada d\u00f6rt ki\u015fi kalacak \u015fekilde Bu arkada\u015flar\u0131n ayn\u0131 anda masa tenisi oynayabilmeleri konaklayacakt\u0131r. Turistler i\u00e7in ka\u00e7 oda gerekti\u011fini hesap- i\u00e7in ka\u00e7 tane tenis masas\u0131na ihtiya\u00e7 olaca\u011f\u0131n\u0131 bulal\u0131m. layal\u0131m. \u00c7\u00f6z\u00fcm: \u00c7\u00f6z\u00fcm: 17 2 8 tane masa tenisine ihtiya\u00e7 vard\u0131r. Kalan 43 4 B\u00f6lme i\u015flemine g\u00f6re 10 oda gerekmekte- 16 8 1 ki\u015fi tek ba\u015f\u0131na oynayamayaca\u011f\u0131 i\u00e7in 1 4 10 dir. Fakat 3 turist a\u00e7\u0131kta kalamayaca\u011f\u0131na 01 g\u00f6re oda say\u0131s\u0131n\u0131n 10 + 1 = 11 olmas\u0131 ge- ki\u015fi yokmu\u015f gibi d\u00fc\u015f\u00fcn\u00fclebilir. 03 rekir. \u00d6rnek: Bir marangoz 7 metre uzunlu\u011fundaki bir kalas\u0131 3 e\u015f par\u00e7aya b\u00f6lmek istiyor. Buna g\u00f6re par\u00e7alardan birinin uzunlu\u011funun ka\u00e7 metre olaca\u011f\u0131n\u0131 bulal\u0131m. \u00c7\u00f6z\u00fcm: 73 1 62 3 1 7:3=2 m 6m 1m 2 1 m 2 1 m 2 1 m 3 3 3 Par\u00e7alara b\u00f6l\u00fcnebilir b\u00fct\u00fcnleri payla\u015ft\u0131r\u0131rken kalan say\u0131y\u0131 kesir olarak ifade edebiliriz. 14 2.\t 25 \u00f6\u011frencinin bulundu\u011fu bir s\u0131n\u0131ftaki \u00f6\u011frenciler sat- ran\u00e7 oynamak i\u00e7in iki\u015ferli gruplara ayr\u0131l\u0131yor. 1.\t 23 \u00f6\u011frencinin kat\u0131ld\u0131\u011f\u0131 bir izci ekibi 2 ki\u015filik \u00e7ad\u0131rlarda kamp yapmak istiyor. Bu izcilerin konaklayabilmesi i\u00e7in ka\u00e7 tane \u00e7ad\u0131r gerekir? Bu \u00f6\u011frenciler i\u00e7in ka\u00e7 tane satran\u00e7 tahtas\u0131na ih- tiya\u00e7 vard\u0131r? 5. S\u0131n\u0131f 69","B\u00f6lme \u0130\u015fleminde Kalan\u0131 Yorumlama 3.\t 102 ki\u015filik bir turist kafilesini gezdirmek i\u00e7in minib\u00fcs- 6.\t 4 arkada\u015f 9 kavunu dilimlere ay\u0131r\u0131p e\u015fit olarak pay- ler kiralanacakt\u0131r. Kiralanacak olan minib\u00fcslerden la\u015ft\u0131lar. birine en fazla 18 ki\u015fi binebilmektedir. Buna g\u00f6re her birine d\u00fc\u015fen kavun miktar\u0131 ne ka- Buna g\u00f6re bu grup i\u00e7in en az ka\u00e7 tane minib\u00fcs dard\u0131r? kiralanmal\u0131d\u0131r? 4.\t 97 TL 5 arkada\u015f aras\u0131nda e\u015fit olarak payla\u015ft\u0131r\u0131lacak- t\u0131r. Buna g\u00f6re, bir ki\u015fiye ka\u00e7 lira d\u00fc\u015fer? 7.\t Bir seferde 8 ton y\u00fck ta\u015f\u0131yabilen bir kamyon top- lam 75 ton y\u00fck\u00fc en az ka\u00e7 seferde ta\u015f\u0131yabilir? 5.\t Bir usta her g\u00fcn e\u015fit miktarda duvar \u00f6rerek 35 metre uzunlu\u011fundaki duvar\u0131 4 g\u00fcnde \u00f6rm\u00fc\u015ft\u00fcr. 8.\t 395 metre kuma\u015f 7\u2019\u015fer metrelik e\u015f par\u00e7alara ayr\u0131l- m\u0131\u015ft\u0131r. Buna g\u00f6re artan par\u00e7an\u0131n uzunlu\u011fu ka\u00e7 metre- dir? Bu ustan\u0131n bir g\u00fcnde ka\u00e7 metre uzunlu\u011funda du- var \u00f6rd\u00fc\u011f\u00fcn\u00fc bulal\u0131m. 70 5. S\u0131n\u0131f","Test B\u00f6lme \u0130\u015fleminde Kalan\u0131 Yorumlama Uyguluyorum 16 1.\t 410 ceviz her biri en fazla 15\u2019er ceviz alan e\u015f torbala- 5.\t Bir pazarc\u0131da a\u015fa\u011f\u0131daki g\u00f6rselde verilen patates \u00e7u- ra konularak sat\u0131lacakt\u0131r. vallar\u0131ndan yeterli miktarda bulunmaktad\u0131r. Cevizlerin tamam\u0131 torbalara dolduruldu\u011funa Patates g\u00f6re, en az ka\u00e7 torbaya ihtiya\u00e7 vard\u0131r? 20 kg A) 26\t B) 27\tC) 28\tD) 29 2.\t 248 metre uzunlu\u011fundaki bir kuma\u015f ile tak\u0131m elbise- Bir g\u00fcn boyunca 368 kg patates satan pazarc\u0131, ler dikilecektir. patates \u00e7uvallar\u0131ndan ka\u00e7 tanesini a\u00e7m\u0131\u015ft\u0131r? A) 16\t B) 17\tC) 18\tD) 19 Her bir tak\u0131m elbise i\u00e7in 5 metre kuma\u015f kullan\u0131l- d\u0131\u011f\u0131na g\u00f6re en \u00e7ok ka\u00e7 tane tak\u0131m elbise dikilir? A) 50\t B) 49\tC) 48\tD) 47 6.\t Bir turist rehberi 85 ki\u015filik turist kafilesini \u00f6\u011flen ye- me\u011fi i\u00e7in bir lokantaya g\u00f6t\u00fcrd\u00fc. Lokantalardaki ma- salar\u0131n tamam\u0131 6\u2019\u015far ki\u015filiktir. 3.\t Bir depodaki 896 kg \u015feker 52 kg\u2019l\u0131k \u00e7uvallara dol- Buna g\u00f6re bu grup en az ka\u00e7 tane masada yemek durulursa ka\u00e7 kg \u015feker artar? yiyebilir? A) 8\t B) 10\tC) 12\tD) 14 A) 16\t B) 15\tC) 14\tD) 13 4.\t Mevcudu 39 olan bir s\u0131n\u0131ftaki \u00f6\u011frenciler 8 ki\u015filik ta- 7.\t 118 \u00f6\u011frencinin bulundu\u011fu izci grubundaki \u00f6\u011frenciler k\u0131mlar olu\u015fturarak yakan top oynayacaklard\u0131r. 4\u2019er ki\u015filik \u00e7ad\u0131rlarda kalacaklard\u0131r. Buna g\u00f6re ka\u00e7 tak\u0131m olu\u015fturulur? Buna g\u00f6re bu \u00f6\u011frenciler i\u00e7in en az ka\u00e7 tane \u00e7ad\u0131r gerekir? A) 3\t B) 4\tC) 5\tD) 6 A) 27\t B) 28\tC) 29\tD) 30 5. S\u0131n\u0131f 71","Uyguluyorum B\u00f6lme \u0130\u015fleminde Kalan\u0131 Yorumlama Test 16 8.\t Kampa kat\u0131lan bir grup \u00f6\u011frenci 12 \u00e7ad\u0131rda kalacakt\u0131r. 11.\t Be\u015f arkada\u015f ortakla\u015fa 38 d\u00f6n\u00fcm arsa sat\u0131n al\u0131yorlar. Daha sonra bu arsay\u0131 e\u015fit olarak payla\u015f\u0131yorlar. Buna g\u00f6re her birine ka\u00e7ar d\u00f6n\u00fcm arsa d\u00fc\u015fer? 3 131 A) 7 5 \t B) 7 7 \tC) 5 7 \tD) 5 7 \u00c7ad\u0131rlarda en \u00e7ok 8\u2019er \u00f6\u011frenci kalabildi\u011fine g\u00f6re, gruptaki \u00f6\u011frenci say\u0131s\u0131 a\u015fa\u011f\u0131dakilerden hangisi olamaz? A) 88\t B) 90\tC) 92\tD) 94 12.\t 582 TL 12 arkada\u015f aras\u0131nda e\u015fit olarak payla\u015ft\u0131r\u0131l\u0131- yor. Buna g\u00f6re bir ki\u015fiye ka\u00e7 TL d\u00fc\u015fer? 9.\t Her g\u00fcn 45 sayfa kitap okuyan Sude, 338 sayfal\u0131k A) 48 1 \t B) 48 7 \tC) 48 2 \tD) 48 3 kitab\u0131 bitirdi\u011fi g\u00fcn ba\u015fka bir kitab\u0131 okumaya ba\u015fla- 2 12 3 4 m\u0131\u015ft\u0131r. Sude yeni kitab\u0131 okumaya ba\u015flad\u0131\u011f\u0131 g\u00fcn yine 45 sayfa okudu\u011funa g\u00f6re o g\u00fcn yeni okumaya ba\u015f- lad\u0131\u011f\u0131 kitaptan ka\u00e7 sayfa okumu\u015ftur? A) 12\t B) 18\tC) 22\tD) 23 10.\t Bir zeytinya\u011f\u0131 fabrikas\u0131nda \u00fcretilen 824 litre zeytin- 13.\t Bir fabrikada \u00fcretilen 901 litre zeytinya\u011f\u0131 8 litrelik \u015fi- ya\u011f\u0131n\u0131n tamam\u0131 18 litrelik tenekelere doldurulacakt\u0131r. \u015felere konulacakt\u0131r. Buna g\u00f6re en az ka\u00e7 tane tenekeye ihtiya\u00e7 vard\u0131r? Zeytinya\u011f\u0131n\u0131n tamam\u0131 \u015fi\u015felere konuldu\u011funda son \u015fi\u015fenin ka\u00e7 litrelik k\u0131sm\u0131 bo\u015f kal\u0131r? A) 45\t B) 46\tC) 47\tD) 48 A) 2\t B) 3\tC) 4\tD) 5 72 5. S\u0131n\u0131f","\u00c7arpma ve B\u00f6lme \u0130\u015flemlerinde Verilmeyeni Bulma Bir \u00e7arpma i\u015fleminde \u00e7arpanlar\u0131ndan biri verilmeyip \u00e7ar- B\u00f6l\u00fcnen ve b\u00f6l\u00fcm\u00fcn verilip, b\u00f6len say\u0131n\u0131n verilmedi\u011fi p\u0131m\u0131n verildi\u011fi \u00e7arpma i\u015flemlerinde, verilmeyen \u00e7arpan\u0131 b\u00f6lme i\u015flemlerinde b\u00f6len say\u0131y\u0131 bulmak i\u00e7in b\u00f6l\u00fcnen sa- bulmak i\u00e7in \u00e7arp\u0131m verilen \u00e7arpana b\u00f6l\u00fcn\u00fcr. y\u0131y\u0131 b\u00f6l\u00fcme b\u00f6leriz. \u00d6rnek: A\u015fa\u011f\u0131daki \u00e7arpma i\u015fleminde verilme- \u00d6rnek: yen say\u0131lar\u0131 bulal\u0131m. 432 \u00b7\u00b7 Yandaki b\u00f6lme i\u015fleminde b\u00f6len say\u0131n\u0131n 18 ka\u00e7 oldu\u011funu bulal\u0131m. \u00b7\u00b7\u00b7 \u00c7\u00f6z\u00fcm: 9128 : 28 = 326 x 28 326 \u00c7\u00f6z\u00fcm: B\u00f6len Say\u0131 = 24 \u00b7\u00b7\u00b7\u00b7 B\u00f6l\u00fcnen = B\u00f6len x B\u00f6l\u00fcm + Kalan x 28 432 18 + \u00b7\u00b7\u00b7 2608 36 24 9128 072 + 652 9128 72 00 Bir b\u00f6lme i\u015fleminde b\u00f6l\u00fcnen say\u0131y\u0131 bulmak i\u00e7in b\u00f6len ile b\u00f6l\u00fcm\u00fc \u00e7arpar\u0131z. \u00d6rnek: Yanda verilen b\u00f6lme i\u015fleminde b\u00f6l\u00fcne- ni bulal\u0131m. A 13 15 00 \u00c7\u00f6z\u00fcm: A = 13 x 15 = 195 15 \u00e7) 17 : 1.\t A\u015fa\u011f\u0131daki \u015femalarda bo\u015f b\u0131rak\u0131lan yerlere yaz\u0131l- 41 mas\u0131 gereken say\u0131lar\u0131 bulunuz. d) 1536 a) 12 : 12 x e) 15 b) 124 2220 : x 101 1860 c) 15 5. S\u0131n\u0131f x 3150 73","\u00c7arpma ve B\u00f6lme \u0130\u015flemlerinde Verilmeyeni Bulma 2.\t A\u015fa\u011f\u0131daki \u00e7arpma i\u015flemlerinde verilmeyen say\u0131lar\u0131 bulunuz. a. \u00b7 \u00b7 \u00b7 b. 8 6 3 c. 2 0 6 x 32 \u00b7\u00b7\u00b7 x \u00b74 x 8\u00b7 3\u00b752 1236 + 525 \u00b7\u00b7\u00b7\u00b7 + 4\u00b715 + 1\u00b7\u00b78 \u00b7\u00b7\u00b7\u00b7\u00b7 \u00b7\u00b7\u00b716 \u00e7. 7 \u00b7 2 d. 3 2 \u00b7 e. \u00b7 1 4 x 8\u00b7 x 4\u00b7 x 2\u00b7 2848 19\u00b78 6\u00b72 + 5686 + 1292 + 428 59708 \u00b7\u00b7\u00b7\u00b7\u00b7 4922 3.\t A\u015fa\u011f\u0131da verilen b\u00f6lme i\u015flemlerinde verilmeyen say\u0131y\u0131 bulunuz. a. \u00b7 \u00b7 \u00b7 1 2 b. \u00b7 \u00b7 \u00b7 3 3 c. \u00b7 \u00b7 \u00b7 2 4 \u00e7. \u00b7 \u00b7 \u00b7 3 0 24 16 15 18 7 5 00 4 d. A e. B f. C 1 2 g. D 8 5 9 11 9 7 6 C say\u0131s\u0131 en fazla ka\u00e7t\u0131r? D say\u0131s\u0131 en az ka\u00e7t\u0131r? A say\u0131s\u0131 en az ka\u00e7t\u0131r? B say\u0131s\u0131 en az ka\u00e7t\u0131r? 74 5. S\u0131n\u0131f","\u00c7arpma ve B\u00f6lme \u0130\u015flemlerinde Verilmeyeni Bulma 4.\t A\u015fa\u011f\u0131da verilen b\u00f6lme i\u015flemlerinde verilmeyen 5.\t A\u015fa\u011f\u0131da verilen karelerdeki say\u0131lar\u0131n \u00e7arp\u0131mlar\u0131 ok say\u0131lar\u0131 bulunuz. y\u00f6n\u00fcnde yaz\u0131lm\u0131\u015ft\u0131r. a.\t\t \u00b7 \u00b7 \u00b7 2 4 Bo\u015f b\u0131rak\u0131lan karelere uygun do\u011fal say\u0131lar\u0131 yaz\u0131- 24 \u00b7\u00b7 n\u0131z. 192 \u00b7\u00b7\u00b7 25 90 000 3 168 4 12 b.\t\t 8 3 5 \u00b7 \u00b7 27 64 105 80 5\u00b7 035 \u00b7\u00b7 03 c.\t\t \u00b7 \u00b7 \u00b7 \u00b7 \u00b7 \u00b7 6.\t A\u015fa\u011f\u0131da verilen \u015femadaki i\u015flemleri ok y\u00f6n\u00fcnde 9 6 \u00b7 3 yaparak doldurunuz. 0074 \u00b7\u00b7 96 : 12 0002 :x \u00e7.\t\t 6 0 5 \u00b7 \u00b7 56 4\u00b7 :4 \u00b7\u00b7\u00b7 \u00b7\u00b7 4x 03 5. S\u0131n\u0131f 75","Uyguluyorum \u00c7arpma ve B\u00f6lme \u0130\u015flemlerinde Test Verilmeyeni Bulma 17 1.\t A 9 4.\t \t\t A 13 x 12 B 72 Yukar\u0131da verilen b\u00f6lme i\u015fleminde A say\u0131s\u0131 en faz- x la ka\u00e7t\u0131r? A) 70\t B) 168\tC) 164\tD) 162 1728 Yukar\u0131da verilen \u00e7arpma i\u015flemlerine g\u00f6re A + B ka\u00e7t\u0131r? A) 28\t B) 30\tC) 32\tD) 34 5.\t \t\t 2.\t \t\t \u00b7\u00b7\u00b7 x 28 \u00b7\u00b7\u00b7\u00b7 + \u00b7\u00b7\u00b7 8736 A 23 Yukar\u0131daki \u00e7arpma i\u015flemine g\u00f6re verilmeyen \u00e7ar- 16 pan ka\u00e7t\u0131r? 7 A) 312\t B) 316\tC) 322\tD) 326 Yukar\u0131da verilen b\u00f6lme i\u015fleminde A say\u0131s\u0131 a\u015fa\u011f\u0131- dakilerden hangisidir? A) 375\t B) 380\tC) 385\tD) 395 6.\t \t\t 3.\t \t\t 912 \u00b7\u00b7 7 6 4 \u00b7 \u00b7\u00b7\u00b7 8 \u00b7\u00b7\u00b7 \u00b7\u00b7\u00b7 12 000 Yukar\u0131daki b\u00f6lme i\u015flemine g\u00f6re b\u00f6l\u00fcnen say\u0131 en Yukar\u0131da verilen b\u00f6lme i\u015fleminde, b\u00f6len say\u0131 ile az ka\u00e7t\u0131r? b\u00f6l\u00fcm\u00fcn toplam\u0131 ka\u00e7t\u0131r? A) 100\t B) 108\tC) 116\tD) 118 A) 68\t B) 67\tC) 66\tD) 65 76 5. S\u0131n\u0131f","Test \u00c7arpma ve B\u00f6lme \u0130\u015flemlerinde Uyguluyorum 17 Verilmeyeni Bulma 7.\t \t\t 10.\t \t\t \u00b7\u00b7\u00b7 KL x 34 x 8M 504 148 + ABC + 296 \u00b7\u00b7\u00b7\u00b7 \u00b7\u00b7\u00b7\u00b7 Yukar\u0131daki \u00e7arpma i\u015flemine g\u00f6re A + B + C ka\u00e7- Yukar\u0131daki \u00e7arpma i\u015flemine g\u00f6re, M ka\u00e7t\u0131r? t\u0131r? A) 2\t B) 3\tC) 4\tD) 5 A) 15\t B) 16\tC) 17\tD) 18 11.\t \t\t 128 : A = 8 B x 15 = 180 8.\t A\u015fa\u011f\u0131daki i\u015flemlerin hangisinde \ufffd sembol\u00fcn\u00fcn Yukar\u0131da verilen i\u015flemlere g\u00f6re A + B i\u015fleminin de\u011feri di\u011ferlerinden farkl\u0131d\u0131r? sonucu ka\u00e7t\u0131r? A) \ufffd x 5 = 60\t B) 132 : 11 = \ufffd C) 8 x \ufffd = 96\tD) 192 : \ufffd = 17 A) 30\t B) 28\tC) 26\tD) 24 12.\t \t\t 9.\t \t 245 .......... : .......... = 18 x AB 1715 Yukar\u0131da verilen b\u00f6lme i\u015fleminde bo\u015f b\u0131rak\u0131lan yerlere gelmesi gereken say\u0131lar s\u0131ras\u0131yla a\u015fa\u011f\u0131- + 490 dakilerden hangisi olamaz? \u00b7\u00b7\u00b7\u00b7 A) 108 ile 6\t B) 216 ile 12 Yukar\u0131da verilen \u00e7arpma i\u015fleminin sonucu AB iki basamakl\u0131 say\u0131s\u0131ndan ka\u00e7 fazlad\u0131r? C) 240 ile 15\tD) 360 ile 20 A) 6588\t B) 6589\tC) 6590\tD) 6591 5. S\u0131n\u0131f 77","Bir Say\u0131n\u0131n Karesi ve K\u00fcp\u00fc \u2022 Bir say\u0131n\u0131n kendisi ile \u00e7arp\u0131m\u0131 o say\u0131n\u0131n karesi \u015feklinde ifade edilir. \u2022 Bir say\u0131n\u0131n kendisi ile iki kere \u00e7arp\u0131m\u0131 o say\u0131n\u0131n k\u00fcp\u00fc \u015feklinde ifade edilir. \u00c7arp\u0131m \u015eeklinde \u00dcsl\u00fc \u0130fade Olarak \u00dcsl\u00fc \u0130fadenin \u00dcsl\u00fc \u0130fadenin G\u00f6sterimi G\u00f6sterimi Okunu\u015fu De\u011feri 6x6 62 6\u2019n\u0131n karesi 36 6x6x6 63 6\u2019n\u0131n k\u00fcp\u00fc 216 16 1.\t A\u015fa\u011f\u0131da kendisi ile \u00e7arp\u0131mlar\u0131 verilen say\u0131lar\u0131 3.\t A\u015fa\u011f\u0131da \u00fcsl\u00fc ifade olarak verilen say\u0131lar\u0131 de\u011fer- \u00fcsl\u00fc bi\u00e7imde yaz\u0131n\u0131z. leri ile e\u015fle\u015ftiriniz. a) 1 x 1 = .............. e) 6 x 6 = ............. b) 2 x 2 = ............. f) 7 x 7 = .............. 52 16 1 a c) 3 x 3 = ............. g) 8 x 8 = ............. 23 25 \u00e7) 4 x 4 = ............. \u011f) 9 x 9 = ............. 2 b d) 5 x 5 = ............. h) 10 x 10 = .......... 42 8 2.\t A\u015fa\u011f\u0131da kendisi ile \u00e7arp\u0131mlar\u0131 verilen say\u0131lar\u0131 3 c \u00fcsl\u00fc bi\u00e7imde yaz\u0131n\u0131z. 72 216 a) 1 x 1 x 1 = .......... e) 6 x 6 x 6 = ......... 4 d 82 125 5 e b) 2 x 2 x 2 = ........ f) 7 x 7 x 7 = ......... 63 49 c) 3 x 3 x 3 = ......... g) 8 x 8 x 8 = ........ 6 f \u00e7) 4 x 4 x 4 = ......... \u011f) 9 x 9 x 9 = ........ 53 27 7 g d) 5 x 5 x 5 = ........ h) 10 x 10 x 10 = .... 33 64 8 h 78 5. S\u0131n\u0131f","Bir Say\u0131n\u0131n Karesi ve K\u00fcp\u00fc 4.\t A\u015fa\u011f\u0131daki \u015fekiller e\u015f birim karelerden olu\u015fmu\u015ftur. 6.\t A\u015fa\u011f\u0131da verilen i\u015flemleri yap\u0131n\u0131z. Bu \u015fekillerde bulunan birim kare say\u0131s\u0131n\u0131 \u00fcsl\u00fc a) 32 + 23 =............................................................... ifade olarak yaz\u0131n\u0131z. a) b) .............. .................. b) 62 + 22 =.............................................................. c) \u00e7) c) 52 + 33 =............................................................... \u00e7) 122 \u2013 102 =........................................................... .................... .................... 5.\t A\u015fa\u011f\u0131daki yap\u0131larda bulunan birim k\u00fcp say\u0131lar\u0131n\u0131 d) 43 \u2013 72 =.............................................................. \u00fcsl\u00fc ifade olarak g\u00f6steriniz. e) 62 + 82 =............................................................... a) .................. f) 53 \u2013 52 =............................................................... b) g) 72 \u2013 62 =.............................................................. .................. 5. S\u0131n\u0131f 79","Uyguluyorum Bir Say\u0131n\u0131n Karesi ve K\u00fcp\u00fc Test 18 1.\t \t\t 5.\t \t\t 82 D\u00f6rd\u00fcn k\u00fcp\u00fc Yukar\u0131da verilen \u00fcsl\u00fc ifade a\u015fa\u011f\u0131dakilerden han- ifadesinin say\u0131sal de\u011feri ka\u00e7t\u0131r? gisine e\u015fittir? A) 12\t B) 16\tC) 64\tD) 81 A) 6\t B) 10\tC) 16\tD) 64 6.\t \t 2.\t A\u015fa\u011f\u0131dakilerden hangisi yanl\u0131\u015ft\u0131r? A) 12 x 12 x 12 = 123\t B) 45 x 45 = 452 C) 5 x 2 = 52\tD) 2 x 2 x 2 = 8 3.\t \t\t 23 + 32 + 42 Yukar\u0131daki yap\u0131da bulunan birim k\u00fcp say\u0131s\u0131 a\u015fa- \u011f\u0131dakilerden hangisi ile ifade edilebilir? A) 6 + 6 + 6\t B) 6 x 6 x 6 Yukar\u0131da verilen i\u015flemin sonucu ka\u00e7t\u0131r? C) (6 + 6) x 6\tD) 6 x 6 A) 33\t B) 30\tC) 23\tD) 20 7.\t A\u015fa\u011f\u0131daki \u015fekil birimkarelerden olu\u015fmu\u015ftur. 4.\t \t\t 25 x 25 x 25 = ......... Yukar\u0131daki e\u015fitlikte bo\u015f b\u0131rak\u0131lan yere a\u015fa\u011f\u0131daki- lerden hangisi yaz\u0131labilir? A) 253\t B) 3 x 25 Bu \u015fekilde bulunan birimkare say\u0131s\u0131 a\u015fa\u011f\u0131daki- C)\t25 + 25 + 25\t D)\t325 lerden hangisine e\u015fit de\u011fildir? A) 5 x 5\t B) 25\tC) 52\tD) 5 + 5 80 5. S\u0131n\u0131f","Test Bir Say\u0131n\u0131n Karesi ve K\u00fcp\u00fc Uyguluyorum 18 8.\t \t\t 12.\t \t \ufffd2 = 25 4\ufffd = 4 x 4 x 4 \u00d6rnek:\t100 = 4 x 25 \t \t 102 = 22 x 52 122 say\u0131s\u0131 yukar\u0131daki \u00f6rnekte oldu\u011fu gibi hangi iki Yukar\u0131da verilenlere g\u00f6re \ufffd\ufffd ifadesi a\u015fa\u011f\u0131daki- say\u0131n\u0131n kareleri \u00e7arp\u0131m\u0131na e\u015fittir? lerden hangisine e\u015fittir? A) 2 ile 3\t B) 3 ile 4 A) 15\t B) 75\tC) 125\tD) 243 C) 3 ile 6\tD) 4 ile 9 9.\t \t\t a3 = 8 x 8 x 8 13.\t \t 15b = 15 x 15 \ufffd = 102 \ufffd = 82 Buna g\u00f6re ab ifadesi a\u015fa\u011f\u0131dakilerden hangisidir? A) 16\t B) 32\tC) 48\tD) 64 Yukar\u0131da verilenlere g\u00f6re \ufffd \u2013 \ufffd a\u015fa\u011f\u0131dakilerden hangisine e\u015fittir? A) 42\t B) 52\tC) 62\tD) 182 10.\t \t\t a2 + 122 = 132 Yukar\u0131daki e\u015fitlikte a yerine a\u015fa\u011f\u0131daki say\u0131lardan 14.\t \t hangisi yaz\u0131lmal\u0131d\u0131r? A) 1\t B) 3\tC) 4\tD) 5 a x a x a = 63 4 x 4 = 4b 11.\t \t Yukar\u0131da verilenlere g\u00f6re a2 + b2 i\u015fleminin sonu- 9 8 4 16 cu a\u015fa\u011f\u0131dakilerden hangisidir? A) 16\t B) 24\tC) 36\tD) 40 Zeynep yukar\u0131da verilen balonlardan \u00fczerindeki say\u0131 bir do\u011fal say\u0131n\u0131n karesine e\u015fit olanlar\u0131 patlat\u0131yor. Buna g\u00f6re geriye kalan balon hangisidir? 15.\t A\u015fa\u011f\u0131da verilen ifadelerden hangisinin de\u011feri di- \u011ferlerinden b\u00fcy\u00fckt\u00fcr? A) B) C) D) 9 8 4 16 A) 43\t B) 82\tC) 53\tD) 102 5. S\u0131n\u0131f 81","Parantezli \u0130\u015flemler \u2022 Birden fazla i\u015flemin oldu\u011fu durumlarda parantez varsa \u00f6nce parantezin i\u00e7indeki i\u015flem yap\u0131l\u0131r. \u00d6rnek: \u00d6rnek: 60 : (4 + 8) i\u015fleminin sonucunu bulal\u0131m. \u00c7\u00f6z\u00fcm: 60 : 12 = 5 (\ufffd + 45) x 30 = 1800 \ufffd = ? \u00c7\u00f6z\u00fcm: 1800 : 30 = 60 \t \t \ufffd = 60 \u2013 45 \t \t \ufffd = 15 17 e) (152 + 28) : 12 = ................................................. 1.\t A\u015fa\u011f\u0131da verilen i\u015flemleri yap\u0131n\u0131z. a) (18 x 15) + 12 = ................................................... b) (24 : 3) x 16 = ..................................................... f) 72 \u2013 (6 x 7) = ....................................................... c) 12 x (6 + 9) = ...................................................... g) 3 x (4 + 5) = ........................................................ \u00e7) (16 x 5) : 20 = ..................................................... \u011f) 68 \u2013 (5 x 6) = ...................................................... d) (100 \u2013 25) : 15 = ................................................. h) 52 + (8 x 4) = ...................................................... 82 5. S\u0131n\u0131f","Parantezli \u0130\u015flemler 2.\t A\u015fa\u011f\u0131da verilen e\u015fitliklerin do\u011fru olmas\u0131 i\u00e7in pa- 4.\t A\u015fa\u011f\u0131da i\u015flem a\u011fa\u00e7lar\u0131nda verilen kutular\u0131 doldu- rantezleri uygun yerlere yerle\u015ftiriniz. runuz ve i\u015flemlerin parantezli olarak g\u00f6sterimini a) 30 x 6 : 3 = 60 \u00a1 ................................................ yaz\u0131n\u0131z. b) 88 + 22 x 3 = 330 \u00a1 .......................................... a) 60 5 c) 15 \u2013 5 x 2 = 5 \u00a1 ................................................. : 4 x \u00e7) 24 : 8 + 4 = 7 \u00a1 ................................................. d) 20 \u2013 8 x 2 = 24 \u00a1 .............................................. b) 15 9 - e) 40 \u2013 20 : 4 = 35 \u00a1 ............................................. 8 3.\t A\u015fa\u011f\u0131da verilen i\u015flemlerde sembollerin yerine x gelmesi gereken say\u0131lar\u0131 bulunuz. a) 30 \u2013 (\ufffd x 2) = 18 \t \ufffd= b) (20 x 2) : \ufffd = 5 \t \t \ufffd= c) 12 + (3 x \ufffd) = 24 \t \ufffd= c) 54 9 : \u00e7) (12 \u2013 \ufffd) x 5 = 40 \t \ufffd= 3 x d) \ufffd + (18 : 3) = 15 \t\t \ufffd= e) 15 x (8 + \ufffd) = 180 \t \ufffd= 5. S\u0131n\u0131f 83","Uyguluyorum Parantezli \u0130\u015flemler Test 19 1.\t \t\t 5.\t \t\t (80 : 16) + 5 4000 : (550 + 250) Yukar\u0131da verilen i\u015flemin sonucu ka\u00e7t\u0131r? Yukar\u0131da verilen i\u015flemin sonucu a\u015fa\u011f\u0131dakilerden hangisidir? A) 10\t B) 11\tC) 12\tD) 13 A) 5\t B) 6\tC) 7\tD) 8 2.\t \t\t 6 x (30 \u2013 18) Yukar\u0131da verilen i\u015flemin sonucu ka\u00e7t\u0131r? A) 48\t B) 60\tC) 72\tD) 78 6.\t \t\t (32 + 42) x 22 Yukar\u0131da verilen i\u015flemin sonucu ka\u00e7t\u0131r? 3.\t \t\t A) 68\t B) 88\tC) 100\tD) 144 A = (32 + 4) : 2 B = 18 + (12 : 3) Yukar\u0131da verilen e\u015fitliklere g\u00f6re, B \u2013 A i\u015fleminin sonucu ka\u00e7t\u0131r? A) 3\t B) 4\tC) 5\tD) 6 7.\t 4.\t \t\t A = (45 x 3) + 15 B = 45 + (3 x 15) Buna g\u00f6re A \u2013 B ka\u00e7t\u0131r? Yukar\u0131daki boncuklar\u0131n say\u0131lar\u0131n\u0131 bulmak i\u00e7in a\u015fa\u011f\u0131daki i\u015flemlerden hangisini yapabiliriz? A) 45\t B) 50\tC) 55\tD) 60 A) 3 x (4 + 6)\t B) 3 + (4 x 6) C) 4 x (3 + 6)\tD) 6 x (4 + 3) 84 5. S\u0131n\u0131f","Test Parantezli \u0130\u015flemler Uyguluyorum 19 8.\t Esra a\u015fa\u011f\u0131da etiket fiyat\u0131 verilen tabletin \u00fccretinin bir 11.\t \t\t k\u0131sm\u0131n\u0131 pe\u015fin \u00f6dedikten sonra kalan k\u0131sm\u0131n\u0131 8 taksit- le \u00f6deyecektir. 6 \ufffd (45 \ufffd 5) = 15 5600 TL Yukar\u0131daki e\u015fitli\u011fin do\u011fru olmas\u0131 i\u00e7in s\u0131ras\u0131yla \ufffd ve \ufffd yerine +, \u2013, x ve : sembollerinden s\u0131ras\u0131yla hangileri gelmelidir? A) x, +\t B) +, x\tC) +, :\tD) +, \u2013 Esra 800 TL pe\u015fin \u00f6deme yapt\u0131\u011f\u0131na g\u00f6re bir taksit \u00fccretini veren i\u015flem a\u015fa\u011f\u0131dakilerden hangisidir? A) (5600 : 8) \u2013 800\t B) (5600 \u2013 800) : 8 12.\t \t\t \ufffd x (42 : 7) = 90 C) (800 x 8) \u2013 5600\tD) (5600 : 8) + 800 Yukar\u0131daki e\u015fitli\u011fin do\u011fru olabilmesi i\u00e7in \ufffd yeri- ne hangi say\u0131 gelmelidir? A) 9\t B) 10\tC) 15\tD) 18 9.\t \t 12 + (3 x \ufffd) = 30 Yukar\u0131daki e\u015fitlikte \ufffd sembol\u00fcn\u00fcn yerine hangi 13.\t \u015eekildeki etkinlikte parantezli i\u015flemler do\u011fru sonu\u00e7- say\u0131 yaz\u0131lmal\u0131d\u0131r? lar\u0131 ile e\u015fle\u015ftirilecektir. A) 4\t B) 6\tC) 8\tD) 12 45 \u2013 (5 x 6) 9 1 a 10.\t \t 60 5 36 : (1 + 3) 40 : 2 b 8 (20 \u2013 12) x 5 15 - 3 c Yukar\u0131daki \u015femada verilen i\u015flemin matematik Buna g\u00f6re bu etkinli\u011fi do\u011fru yap\u0131lm\u0131\u015f hali a\u015fa\u011f\u0131- c\u00fcmlesi a\u015fa\u011f\u0131dakilerden hangisidir? dakilerden hangisidir? A) 1 - a \t B) 1 - c \tC) 1 - b \tD) 1 - c 2-c A) (60 : 5) \u2013 4\t B) (60 \u2013 8) : 5 3-b 2-b 2-a 2-a 3-a 3-c 3-b C) (60 : 5) \u2013 8\tD) (60 \u2013 5) : 4 5. S\u0131n\u0131f 85","D\u00f6rt \u0130\u015flem Problemleri \u00d6rnek: Tahsin\u2019in paras\u0131 karde\u015fi Bade\u2019nin paras\u0131n\u0131n 5 kat\u0131ndan 40 TL fazlad\u0131r. \u0130kisinin paralar\u0131 toplam\u0131 760 TL oldu\u011funa g\u00f6re Tahsin ve Bade\u2019nin ka\u00e7ar liras\u0131 oldu\u011funu bulal\u0131m. \u00c7\u00f6z\u00fcm: Tahsin Bade + 40 + = + 40 = 760 760 \u2013 40 = 720 720 : 6 = 120 Tahsin Bade = 120 (120 x 5) + 40 120 600 + 40 120 640 120 18 4.\t Hangi say\u0131n\u0131n 5 kat\u0131n\u0131n 10 eksi\u011fi 110\u2019dur? 1.\t Biri di\u011ferinin 3 kat\u0131 olan iki say\u0131n\u0131n toplam\u0131 72 ol- du\u011funa g\u00f6re k\u00fc\u00e7\u00fck say\u0131y\u0131 bulunuz. 2.\t 3 kat\u0131 ile 5 kat\u0131n\u0131n toplam\u0131 200 olan say\u0131n\u0131n 2 kat\u0131- 5.\t Hangi say\u0131n\u0131n 3 kat\u0131n\u0131n 15 fazlas\u0131 90\u2019d\u0131r? n\u0131n 10 fazlas\u0131n\u0131 bulunuz. 3.\t Toplamlar\u0131 70 olan iki say\u0131dan b\u00fcy\u00fc\u011f\u00fc k\u00fc\u00e7\u00fc\u011f\u00fcn\u00fcn 3 6.\t 12 say\u0131s\u0131n\u0131n 4 kat\u0131n\u0131n 10 fazlas\u0131n\u0131 bulunuz. kat\u0131ndan 10 fazlad\u0131r. Buna g\u00f6re k\u00fc\u00e7\u00fck say\u0131y\u0131 bulunuz. 86 5. S\u0131n\u0131f","D\u00f6rt \u0130\u015flem Problemleri 7.\t Elif\u2019in paras\u0131, Alper\u2019in paras\u0131n\u0131n 3 kat\u0131na e\u015fittir. 10.\t A ve B \u015fehirlerinden ayn\u0131 anda kar\u015f\u0131l\u0131kl\u0131 olarak iki otomobil hareket etmi\u015ftir. Elif, Alper\u2019e ka\u00e7 TL verirse ikisinin de 120 TL\u2019si olur? 75 km\/sa 80 km\/sa Bu otomobiller hareket ettikten 2 saat sonra aralar\u0131n- da 60 km mesafe kal\u0131yor. A ve B \u015fehirleri aras\u0131ndaki kara yolunun uzunlu- \u011fu ka\u00e7 km\u2019dir? 8.\t Hande 280 sayfal\u0131k bir kitab\u0131 her g\u00fcn bir \u00f6nceki g\u00fc- n\u00fcn 2 kat\u0131 kadar sayfay\u0131 okuyarak 3 g\u00fcnde bitiriyor. Buna g\u00f6re Hande 2. g\u00fcn ka\u00e7 sayfa okumu\u015ftur? 11.\t Bir tiyatro salonunda 12 s\u0131ra ve her s\u0131rada 24 koltuk vard\u0131r. Bu salondaki oyunu izlemeye gelen seyirci say\u0131s\u0131, koltuk say\u0131s\u0131n\u0131n yar\u0131s\u0131ndan 16 fazlad\u0131r. Buna g\u00f6re bo\u015f kalan koltuk say\u0131s\u0131n\u0131 bulunuz. 9.\t Bir para 12 ki\u015fiye e\u015fit olarak payla\u015ft\u0131r\u0131lm\u0131\u015f ve her bi- 12.\t \u0130ki karde\u015fin ya\u015flar\u0131 toplam\u0131 48\u2019dir. rine 150 TL d\u00fc\u015fm\u00fc\u015ft\u00fcr. B\u00fcy\u00fck karde\u015f, k\u00fc\u00e7\u00fc\u011f\u00fcnden 6 ya\u015f b\u00fcy\u00fck oldu\u011fu- E\u011fer bu para 9 ki\u015fiye da\u011f\u0131t\u0131lsayd\u0131 her birine ka\u00e7ar na g\u00f6re b\u00fcy\u00fck karde\u015f ka\u00e7 ya\u015f\u0131ndad\u0131r? lira d\u00fc\u015ferdi? 5. S\u0131n\u0131f 87","Uyguluyorum D\u00f6rt \u0130\u015flem Problemleri Test 20 1.\t Zeynep\u2019in bilyelerinin say\u0131s\u0131 Eliz\u2019in bilyelerinin say\u0131- 4.\t Eren k\u0131rtasiyeden 3 soru bankas\u0131 ile 2 defter alm\u0131\u015ft\u0131r. s\u0131n\u0131n 4 kat\u0131d\u0131r. Bir soru bankas\u0131n\u0131n fiyat\u0131 bir defterin fiyat\u0131n\u0131n 3 \u0130kisinin bilyelerinin say\u0131s\u0131n\u0131n toplam\u0131 200 oldu\u011fu- kat\u0131na e\u015fit ve soru bankalar\u0131n\u0131n her birinin fiya- na g\u00f6re Zeynep\u2019in ka\u00e7 tane bilyesi vard\u0131r? t\u0131 120 TL oldu\u011funa g\u00f6re Eren k\u0131rtasiyeye ka\u00e7 lira \u00f6deme yapmal\u0131d\u0131r? A) 160\t B) 150\tC) 140\tD) 120 A) 420\t B) 440\tC) 480\tD) 520 2.\t Bir s\u0131n\u0131ftaki erkek \u00f6\u011frencilerin say\u0131s\u0131, k\u0131z \u00f6\u011frencilerin 5.\t Bir marketin cuma g\u00fcn\u00fc satt\u0131\u011f\u0131 yumurta say\u0131s\u0131, cu- say\u0131s\u0131n\u0131n 2 kat\u0131d\u0131r. martesi g\u00fcn\u00fc satt\u0131\u011f\u0131 yumurta say\u0131s\u0131ndan 45 eksiktir. S\u0131n\u0131ftaki erkek \u00f6\u011frenci say\u0131s\u0131 k\u0131z \u00f6\u011frenci say\u0131- Bu market cuma ve cumartesi g\u00fcnleri toplam 185 s\u0131ndan 12 ki\u015fi fazla oldu\u011funa g\u00f6re s\u0131n\u0131fta ka\u00e7 ki\u015fi yumurta satt\u0131\u011f\u0131na g\u00f6re cumartesi g\u00fcn\u00fc ka\u00e7 yu- vard\u0131r? murta satm\u0131\u015ft\u0131r? A) 24\t B) 28\tC) 32\tD) 36 A) 60\t B) 70\tC) 115\tD) 125 3.\t Yeni yap\u0131lan bir sitede 12 blok ve her blokta 32 daire 6.\t Kemal Bey, bir miktar pe\u015finat vererek ayda 1200 TL bulunmaktad\u0131r. taksitle 10 700 TL\u2019ye televizyon alm\u0131\u015ft\u0131r. Sitede 124 daire sat\u0131ld\u0131\u011f\u0131na g\u00f6re sat\u0131lmayan daire Kemal Bey borcunu 8 ayda \u00f6deyece\u011fine g\u00f6re ka\u00e7 say\u0131s\u0131 ka\u00e7t\u0131r? lira pe\u015finat vermi\u015ftir? A) 270\t B) 260\tC) 250\tD) 240 A) 950\t B) 1050\tC) 1100\tD) 1150 88 5. S\u0131n\u0131f","Test D\u00f6rt \u0130\u015flem Problemleri Uyguluyorum 20 7.\t Aras ve Bade\u2019nin paralar\u0131 toplam\u0131 320 TL\u2019dir. 10.\t \u00c7a\u011flar a\u015fa\u011f\u0131da fiyat\u0131 verilen ti\u015f\u00f6rtlerden 4 tane, g\u00f6mleklerden bir miktar alm\u0131\u015ft\u0131r. Aras, Bade\u2019ye 35 TL verince paralar\u0131 e\u015fit oldu\u011fu- na g\u00f6re ba\u015flang\u0131\u00e7ta Aras\u2019\u0131n ka\u00e7 liras\u0131 vard\u0131r? A) 125\t B) 135\tC) 175\tD) 195 175 TL 225 TL 8.\t A\u015fa\u011f\u0131da fiyatlar\u0131 verilen \u00fcr\u00fcnleri sat\u0131n alan S\u00fcleyman \u00c7a\u011flar ald\u0131klar\u0131 i\u00e7in toplam 1425 TL \u00f6deme yapt\u0131- Bey, \u00fccretin 2250 TL\u2019sini pe\u015fin, kalan k\u0131sm\u0131n\u0131 9 e\u015f \u011f\u0131na g\u00f6re ka\u00e7 tane g\u00f6mlek alm\u0131\u015ft\u0131r? taksitle \u00f6deyecektir. A) 1\t B) 2\tC) 3\tD) 4 8 750 TL 14 500 TL 11.\t Bir k\u0131rtasiye 180 adet kalemi 900 TL\u2019ye alm\u0131\u015ft\u0131r. Ka- lemleri a\u015fa\u011f\u0131daki \u015fekilde 12\u2019li paketlere yerle\u015ftirip satacakt\u0131r. 12 750 TL Buna g\u00f6re S\u00fcleyman Bey\u2019in \u00f6deyece\u011fi her bir 84 TL taksit ka\u00e7ar lirad\u0131r? A) 3250\t B) 3500\tC) 3750\tD) 3850 Her bir paket 84 TL\u2019den sat\u0131laca\u011f\u0131na g\u00f6re ka\u00e7 lira k\u00e2r elde edilir? A) 340\t B) 360\tC) 380\tD) 390 9.\t Bir kumbarada 25 ve 50 kuru\u015fluk madeni paralar vard\u0131r. Paralar\u0131n toplam tutar\u0131 48 TL ve kumbaradaki pa- 12.\t Arda 13 ya\u015f\u0131nda ve annesinin ya\u015f\u0131 Arda\u2019n\u0131n ya- ralar\u0131n 64 tanesi 25 kuru\u015fluk oldu\u011funa g\u00f6re ka\u00e7 \u015f\u0131n\u0131n 3 kat\u0131ndan 6 fazla oldu\u011funa g\u00f6re annesinin tanesi 50 kuru\u015fluktur? (1 TL = 100 kuru\u015f) ya\u015f\u0131 ka\u00e7t\u0131r? A) 16\t B) 32\tC) 48\tD) 64 A) 39\t B) 42\tC) 45\tD) 48 5. S\u0131n\u0131f 89","Ba\u015far\u0131yorum Do\u011fal Say\u0131lar Test 21 1.\t A\u015fa\u011f\u0131da 2022 Haziran ay\u0131na ait takvim g\u00f6sterilmi\u015ftir. Haziran 2022 Pzt Sal\u0131 \u00c7r\u015f Per Cuma Cts Pzr 1 2 3 45 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Lisansl\u0131 y\u00fcz\u00fcc\u00fc Ya\u011f\u0131z, haziran ay\u0131nda herhangi bir do\u011fal say\u0131n\u0131n karesi veya k\u00fcp\u00fc olan tarihlerde hafta i\u00e7i g\u00fcnlerin- de 3\u2019er, hafta sonu g\u00fcnlerinde 2\u2019\u015fer antrenman yapm\u0131\u015ft\u0131r. Di\u011fer g\u00fcnlerde ise sadece 1 antrenman yapm\u0131\u015ft\u0131r. Buna g\u00f6re Ya\u011f\u0131z haziran ay\u0131 boyunca toplam ka\u00e7 antrenman yapm\u0131\u015ft\u0131r? A) 39\t B) 40\tC) 41\tD) 42 2.\t A\u015fa\u011f\u0131da verilen \u015femada i\u015flemler soldan sa\u011fa ya da yukar\u0131dan a\u015fa\u011f\u0131ya do\u011fru yap\u0131lacakt\u0131r. 104 : 8 x x 6x : 24 Verilen say\u0131lar kullan\u0131larak bo\u015fluklar tamamland\u0131\u011f\u0131nda ( \u2013 )\u00b7 i\u015fleminin sonucu ka\u00e7 olur? A) 102\t B) 104\tC) 106\tD) 108 90 5. S\u0131n\u0131f","Test Do\u011fal Say\u0131lar Ba\u015far\u0131yorum 21 3.\t G\u00f6k\u00e7e parantezli i\u015flemleri yaparken modelleme y\u00f6ntemini kullanmay\u0131 tercih etmektedir. A\u015fa\u011f\u0131da G\u00f6k\u00e7e\u2019nin model- ledi\u011fi 3\u00b7(2 + 5) i\u015flemi g\u00f6sterilmi\u015ftir. Buna g\u00f6re 5\u00b7(1 + 4) i\u015fleminin modellenmi\u015f \u015fekli a\u015fa\u011f\u0131dakilerden hangisi olur? A) B) C) D) 4.\t Bir fabrikadaki silgiler \u00f6nce ambalajl\u0131 olarak yap\u0131l\u0131p, daha sonra paketleri kutulara doldurularak sat\u0131\u015f i\u00e7in g\u00f6nderil- mektedir. Silgi Buna g\u00f6re bir kutuda yer alan silgi say\u0131s\u0131 ka\u00e7t\u0131r? A) 840\t B) 880\tC) 920\tD) 960 5. S\u0131n\u0131f 91","Ba\u015far\u0131yorum Do\u011fal Say\u0131lar Test 21 5.\t A\u015fa\u011f\u0131da verilen yapboz par\u00e7alar\u0131n\u0131n \u00fczerinde birbirinden farkl\u0131 i\u015flemler yazmaktad\u0131r. 58x60 73x107 92x36 84x95 Sonucu en b\u00fcy\u00fck ve en k\u00fc\u00e7\u00fck olan i\u015flemin yaz\u0131l\u0131 oldu\u011fu yapboz par\u00e7alar\u0131 \u015fekilden \u00e7\u0131kar\u0131lm\u0131\u015ft\u0131r. Buna g\u00f6re kalan \u015fekil a\u015fa\u011f\u0131dakilerden hangisi olur? A) B) C) D) 92 x 36 84 x 95 58 x 60 73 x 107 58 x 60 73 x 107 92 x 36 84 x 95 6.\t Bir salonda 3 \u00e7e\u015fit masa bulunmakta ve t\u00fcr\u00fcn\u00fc belirlemek i\u00e7in her birine farkl\u0131 renkte masa \u00f6rt\u00fcs\u00fc serilmektedir. Bu salonda sar\u0131 masa \u00f6rt\u00fcl\u00fc 33 masa, k\u0131rm\u0131z\u0131 masa \u00f6rt\u00fcl\u00fc 28 masa ve mavi masa \u00f6rt\u00fcl\u00fc 30 masa bulunmaktad\u0131r. Buna g\u00f6re bu salonda ayn\u0131 anda en fazla ka\u00e7 ki\u015fi oturabilir? A) 516\t B) 518\tC) 520\tD) 522 92 5. S\u0131n\u0131f","Test Do\u011fal Say\u0131lar Ba\u015far\u0131yorum 22 1.\t A\u015fa\u011f\u0131da verilen e\u015fit kollu terazi \u00e7e\u015fitli cisimlerin k\u00fctlelerini \u00f6l\u00e7mek i\u00e7in kullan\u0131lmaktad\u0131r. Terazinin sa\u011f ve sol kefe- lerine yerle\u015ftirilen cisimler ayn\u0131 seviyede oldu\u011funda terazi dengede olur ve kullan\u0131lan cisimlerin k\u00fctleleri e\u015fit olur. B\u00fc\u015fra \u015eekil 1\u2019de g\u00f6sterildi\u011fi gibi terazinin sol kefesine bir cisim koymu\u015ftur ve teraziyi elinde her birinden yeterli mik- tarda bulunan \u015eekil 2\u2019deki a\u011f\u0131rl\u0131klar\u0131 kullanarak dengeye getirmi\u015ftir. \u015eekil 1 23 52 32 \u015eekil 2 B\u00fc\u015fra sol kefeye k\u00fctlesi 41 kg olan bir cisim koydu\u011funa g\u00f6re sa\u011f kefeye yerle\u015ftirece\u011fi a\u011f\u0131rl\u0131klar a\u015fa\u011f\u0131da- kilerden hangisi gibi olmal\u0131d\u0131r? A) 23 52 B) 52 32 C) D) 23 23 52 32 23 23 23 32 2.\t Bir s\u0131n\u0131fta bulunan ak\u0131ll\u0131 tahtan\u0131n \u015fifresini matematik \u00f6\u011fretmeni her g\u00fcn de\u011fi\u015ftirmektedir. \u00d6\u011frencilerin \u015fifreyi bula- bilmeleri i\u00e7in a\u015fa\u011f\u0131daki i\u015flemlerde bulunan harflere kar\u015f\u0131l\u0131k gelen say\u0131lar\u0131 bulmalar\u0131 ve bu say\u0131lar\u0131 \u015fifre kutusunda say\u0131lara kar\u015f\u0131l\u0131k gelen k\u0131sma yazmalar\u0131 gerekmektedir. YK 37 \u015eifre 42385 x 16 x 59 A88 3N3 + 48 + 18I 768 2183 Buna g\u00f6re ak\u0131ll\u0131 tahtan\u0131n \u015fifresini do\u011fru girerek a\u00e7mak isteyen bir \u00f6\u011frenci ak\u0131ll\u0131 tahtaya a\u015fa\u011f\u0131daki \u015fifreler- den hangisini girmelidir? A) KAYIN\t B) YAKIN\tC) YANIK\tD) YANKI 5. S\u0131n\u0131f 93","Ba\u015far\u0131yorum Do\u011fal Say\u0131lar Test 22 3.\t A\u015fa\u011f\u0131daki \u015fekilde verilen ayn\u0131 \u00e7izgi \u00fczerindeki say\u0131lar\u0131n \u00e7arp\u0131m\u0131 birbirine e\u015fittir. 15 3 10 8 Buna g\u00f6re i\u015fleminin sonucu a\u015fa\u011f\u0131dakilerden hangisidir? A) 40\t B) 80\tC) 800\tD) 1600 4.\t A\u015fa\u011f\u0131da g\u00f6sterilen terazilerde her bir cismin k\u00fctlesi \u00fczerinde yazmaktad\u0131r. Cisimlerin toplam k\u00fctleleri ise terazide g\u00f6sterilmi\u015ftir. 42 33 52 23 106 kg 60 kg Buna g\u00f6re ve cisimlerinin k\u00fctleleri s\u0131ras\u0131yla a\u015fa\u011f\u0131dakilerden hangisine e\u015fittir? A) 62, 33\t B) 43, 23\tC) 33, 62\tD) 23, 43 94 5. S\u0131n\u0131f","Test Do\u011fal Say\u0131lar Ba\u015far\u0131yorum 22 5.\t G\u00fcls\u00fcm Han\u0131m elinde bulunan 571 cm uzunlu\u011fundaki teli kullanarak kolye ve bileklikler tasarlayacakt\u0131r. 571 cm Bu teli a\u015fa\u011f\u0131daki gibi aralar\u0131nda e\u015f olan 7\u2019si uzun, 8\u2019i k\u0131sa toplam 15 par\u00e7aya ay\u0131racakt\u0131r. 45 cm Kolye par\u00e7alar\u0131 Bileklik par\u00e7alar\u0131 45 cm olan uzun par\u00e7alar\u0131n her biri ile kolye, k\u0131sa par\u00e7alar\u0131n her biri ile bileklik yapacak olan G\u00fcls\u00fcm Han\u0131m, bileklik i\u00e7in ka\u00e7 santimetre uzunlu\u011funda tel kullan\u0131l\u0131r? A) 30\t B) 32\tC) 34\tD) 36 6.\t T\u00dc\u0130K (T\u00fcrkiye \u0130statistik Kurumu) verilerine g\u00f6re 2021 y\u0131l\u0131nda adrese dayal\u0131 n\u00fcfus kay\u0131t sistemindeki en az n\u00fcfusa sahip ilk 4 ilin cinsiyete g\u00f6re da\u011f\u0131l\u0131m\u0131 a\u015fa\u011f\u0131daki tabloda g\u00f6sterilmi\u015ftir. Tablo: 2021 Y\u0131l\u0131ndaki En Az N\u00fcfusa Sahip \u0130lk D\u00f6rt \u0130lin Cinsiyete G\u00f6re Da\u011f\u0131l\u0131m\u0131 \u0130ller Toplam Cinsiyet Tunceli 83 645 Erkek Kad\u0131n 44 423 39 222 Bayburt 89 042 43 402 41 640 Ardahan 94 932 49 168 45 764 Kilis 145 826 73 803 72 023 Tabloda verilenlere g\u00f6re kad\u0131n ve erkek say\u0131s\u0131 aras\u0131ndaki fark hangi ilde en fazlad\u0131r? A) Ardahan\t B) Bayburt\tC) Kilis\tD) Tunceli 5. S\u0131n\u0131f 95","2 \u00dcN\u0130TE SAYILAR VE \u0130\u015eLEMLER 5. SINIF Kesirler Kesirlerle \u0130\u015flemler Kazan\u0131mlar; Birim kesirleri say\u0131 do\u011frusunda g\u00f6sterir ve s\u0131ralar. M.5.1.3.1 Tam say\u0131l\u0131 kesrin, bir do\u011fal say\u0131 ile bir basit kesrin toplam\u0131 M.5.1.3.2 oldu\u011funu anlar ve tam say\u0131l\u0131 kesri bile\u015fik kesre, bile\u015fik kesri tam say\u0131l\u0131 kesre d\u00f6n\u00fc\u015ft\u00fcr\u00fcr. Bir do\u011fal say\u0131 ile bir bile\u015fik kesri kar\u015f\u0131la\u015ft\u0131r\u0131r. M.5.1.3.3 Sadele\u015ftirme ve geni\u015fletmenin kesrin de\u011ferini M.5.1.3.4 de\u011fi\u015ftirmeyece\u011fini anlar ve bir kesre denk olan kesirler olu\u015fturur. Paylar\u0131 veya paydalar\u0131 e\u015fit kesirleri s\u0131ralar. M.5.1.3.5 Bir \u00e7oklu\u011fun istenen basit kesir kadar\u0131n\u0131 ve basit kesir M.5.1.3.6 kadar\u0131 verilen bir \u00e7oklu\u011fun tamam\u0131n\u0131 birim kesirlerden M.5.1.4.1 yararlanarak hesaplar. M.5.1.4.2 Paydalar\u0131 e\u015fit veya birinin paydas\u0131 di\u011ferinin paydas\u0131n\u0131n kat\u0131 olan iki kesrin toplama ve \u00e7\u0131karma i\u015flemini yapar ve anlamland\u0131r\u0131r. Paydalar\u0131 e\u015fit veya birinin paydas\u0131 di\u011ferinin paydas\u0131n\u0131n kat\u0131 olan kesirlerle toplama ve \u00e7\u0131karma i\u015flemleri gerektiren problemleri \u00e7\u00f6zer ve kurar.","\u00dcN\u0130TE NOTLANDIRMA \u00dcN\u0130TE \u00d6NCEL\u0130KLER\u0130M \u00dcN\u0130TEDEK\u0130 MOOD NOTLARIM F\u0130K\u0130RLER\u0130M FORM\u00dcLLER","Birim Kesirleri S\u0131ralama ve Say\u0131 Do\u011frusunda G\u00f6sterme \u2022\t Bir b\u00fct\u00fcn\u00fcn e\u015f par\u00e7alar\u0131ndan birini veya birka\u00e7\u0131n\u0131 g\u00f6steren ifadeye kesir denir. \t \ufffd Payda; bir b\u00fct\u00fcn\u00fcn ka\u00e7 e\u015f par\u00e7aya b\u00f6l\u00fcnd\u00fc\u011f\u00fcn\u00fc ifade eder. \t \ufffd Pay; e\u015f par\u00e7alara b\u00f6l\u00fcnen bir b\u00fct\u00fcn\u00fcn ka\u00e7 e\u015f par\u00e7as\u0131n\u0131n al\u0131nd\u0131\u011f\u0131n\u0131 g\u00f6sterir. \u2022\t Bir b\u00fct\u00fcn\u00fcn e\u015f par\u00e7alar\u0131ndan birini g\u00f6steren kesre birim kesir denir. \u00d6rnek: 111 1 \u00d6rnek: ,,, 3 Pay 2 7 4 21 5 Kesir \u00e7izgisi 1 Payda \u201c\u00dc\u00e7 b\u00f6l\u00fc be\u015f\u201d veya 5 \u201cBe\u015fte \u00fc\u00e7\u201d diye okunur. 3 1 5 ( 5 kesri, 1 tane birim kesirden olu\u015fur.) 3 ( 5 kesri, 3 tane birim kesirden olu\u015fur.) \ufffd Birim kesirler say\u0131 do\u011frusunda 0 ile 1 aras\u0131ndad\u0131r. Bu aral\u0131k paydadaki say\u0131 kadar e\u015f aral\u0131klara b\u00f6l\u00fcn\u00fcr. S\u0131f\u0131rdan sonraki ilk nokta birim kesirdir. 01 1 01 1 3 11 \ufffd Birim kesirlerin pay\u0131 her zaman 1 oldu\u011fundan s\u0131ralama yapmak i\u00e7in paydaya bak\u0131l\u0131r. Payda b\u00fcy\u00fcd\u00fck\u00e7e kesrin de- \u011feri k\u00fc\u00e7\u00fcl\u00fcr. \u00d6rnek: Modellenen kesirlerin boyal\u0131 alanlar\u0131 kar- \t 1 \t \u015f\u0131la\u015ft\u0131r\u0131ld\u0131\u011f\u0131nda paydas\u0131 k\u00fc\u00e7\u00fck olan birim 6 kesrin daha b\u00fcy\u00fck oldu\u011fu g\u00f6r\u00fcl\u00fcyor. 1 11 > 2 26 19 c) d) 1.\t A\u015fa\u011f\u0131da verilen \u015fekillerde boyal\u0131 k\u0131s\u0131mlara kar\u015f\u0131- l\u0131k gelen kesirleri ve bu kesirlerin ka\u00e7 tane birim kesirden olu\u015ftu\u011funu yaz\u0131n\u0131z. a) b) ......................... ......................... e) f) ......................... ......................... ......................... ......................... 98 5. S\u0131n\u0131f","Birim Kesirleri S\u0131ralama ve Say\u0131 Do\u011frusunda G\u00f6sterme 2.\t A\u015fa\u011f\u0131daki modellerin istenilen kadar\u0131n\u0131 boyay\u0131- 4.\t Verilen birim kesirleri \u201c<, >\u201d sembollerini kullana- n\u0131z. a) 1 rak kar\u015f\u0131la\u015ft\u0131r\u0131n\u0131z. 2 a)\t 1 .......... 1 \t b)\t 1 .......... 1 b) 1 4 5 13 9 5 c)\t 1 .......... 1 \t \u00e7)\t 1 .......... 1 c) 1 79 11 67 100 9 d)\t 1 .......... 1 \t e)\t 1 .......... 1 d) 1 35 34 500 50 14 f)\t 1 .......... 1 \t g)\t 1 .......... 1 121 8 30 40 e) 1 5.\t A\u015fa\u011f\u0131daki birim kesirleri k\u00fc\u00e7\u00fckten b\u00fcy\u00fc\u011fe do\u011fru 20 s\u0131ralay\u0131n\u0131z. a)\t 1, 1 , 1 \u00a1 ...................................................... 9 15 2 3.\t A\u015fa\u011f\u0131da say\u0131 do\u011frusunda g\u00f6sterilen kesirleri bu- 1, 1, 1 lunuz. 33 21 12 a) b)\t \u00a1 ................................................... 0 1 b) 1 c)\t 1, 1, 1 \u00a1 .................................................. 0 19 42 27 c) 1 \u00e7)\t 1, 1, 1 \u00a1 .................................................. 0 20 30 50 \u00e7) 1 d)\t 1, 1, 1 \u00a1 ....................................................... 0 8 1 17 d) 1 1, 1, 1 0 14 15 16 e)\t \u00a1 ................................................... e) 0 f) 0 1 g) f)\t 1 , 1 ,1 \u00a1 ............................................. 0 100 1000 10 1 g)\t 1, 1, 1 \u00a1 .................................................. 51 35 79 1 5. S\u0131n\u0131f 99"]
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