5. Sınıf Öğreniyorum Serisi Soru Bankası

["Birim Kesirleri S\u0131ralama ve Say\u0131 Do\u011frusunda G\u00f6sterme 6.\t A\u015fa\u011f\u0131da verilen birim kesirleri say\u0131 do\u011frusunda 8.\t g\u00f6steriniz ve s\u0131ralay\u0131n\u0131z. 111 >> a) 1 0 1 4 14 7 s\u0131ralamas\u0131nda yerine ka\u00e7 farkl\u0131 do\u011fal say\u0131 ya- b) 1 0 1 z\u0131labilece\u011fini bulunuz. 3 c) 1 0 1 10 \u00e7) 1 0 1 9.\t \t\t 5 0 1 d) 1 1 e) 1 1< 1 2 5_ 0 1 S\u0131ralama: ....... < ....... < ....... < ....... < ....... < ....... s\u0131ralamas\u0131na g\u00f6re \u201c\ufffd\u201d yerine gelebilecek say\u0131la- r\u0131n toplam\u0131n\u0131 bulunuz. 7.\t Modellenen birim kesirleri yazarak b\u00fcy\u00fckten k\u00fc- \u00e7\u00fc\u011fe s\u0131ralay\u0131n\u0131z. a) ......... > ......... > ......... 10.\t A\u015fa\u011f\u0131da verilen say\u0131 do\u011frusunda g\u00f6sterilen bi- b) rim kesirlerle ilgili ifadelerden do\u011fru olanlara \u201cD\u201d, yanl\u0131\u015f olanlara \u201cY\u201d yaz\u0131n\u0131z. 01 1 1 1 6 ......... > ......... > ......... a)\t yerine yaz\u0131labilecek en b\u00fcy\u00fck say\u0131 5\u2019tir. (.....) c) b)\t yerine yaz\u0131labilecek en k\u00fc\u00e7\u00fck do\u011fal say\u0131 ......... > ......... > ......... yerine yaz\u0131labilecek en b\u00fcy\u00fck do\u011fal say\u0131dan k\u00fc- 5. S\u0131n\u0131f \u00e7\u00fckt\u00fcr. (.....) c)\t \u2013 fark\u0131 en az 2\u2019dir. (.....) d)\t yerine yaz\u0131labilecek en k\u00fc\u00e7\u00fck do\u011fal say\u0131 7\u2019dir. (.....) 100","Test Birim Kesirleri S\u0131ralama ve Uyguluyorum 23 Say\u0131 Do\u011frusunda G\u00f6sterme 1.\t 5.\t Yanda modellenen \u015fekilde I. Birim kesirlerin pay\u0131 her zaman 1\u2019dir. boyal\u0131 k\u0131sma kar\u015f\u0131l\u0131k gelen kesrin birim kesri a\u015fa\u011f\u0131da- kilerden hangisidir? II. Pay, bir b\u00fct\u00fcn\u00fcn ka\u00e7 e\u015f par\u00e7aya 1 1 ayr\u0131ld\u0131\u011f\u0131n\u0131 g\u00f6sterir. A) 8 \t B) 6 51 C) 8 \tD) 9 III. Birim kesirler say\u0131 do\u011frusunda 0 ile 1 aras\u0131ndad\u0131r. Yukar\u0131daki ifadelerden hangileri do\u011frudur? 6.\t Y - 13 kesri bir birim kesir oldu\u011funa g\u00f6re \u201c\ufffd\u201d A) I ve II\t B) II ve III\tC) I ve III\tD) I, II ve III 9 yerine yaz\u0131labilecek say\u0131 a\u015fa\u011f\u0131dakilerden hangi- sidir? A) 22\t B) 18\tC) 16\tD) 14 2.\t 4 tane 1 birim kesri a\u015fa\u011f\u0131dakilerden hangisidir? 7 A) 4 1 \t 14 7 B) 4\tC) 7 \tD) 7 7.\t A\u015fa\u011f\u0131daki birim kesirlerden hangisi en b\u00fcy\u00fckt\u00fcr? A) 1 \t 111 11 B) 13 \tC) 17 \tD) 19 3.\t A\u015fa\u011f\u0131dakilerden hangisi birim kesirdir? 2 1 43 A) 8 \t B) 5 \tC) 9 \tD) 1 8.\t A\u015fa\u011f\u0131da verilen say\u0131 do\u011frular\u0131n\u0131n hangisinde 1 g\u00f6sterilen birim kesir 7 kesrinden daha k\u00fc\u00e7\u00fck- t\u00fcr? 4.\t A) 1 0 0 1 B) 1 0 Yukar\u0131daki say\u0131 do\u011frusunda \u201c \u201d sembol\u00fc ile g\u00f6s- C) 1 terilen birim kesir a\u015fa\u011f\u0131dakilerden hangisidir? 0 1 1 111 D) A) 3 \t B) 4 \tC) 5 \tD) 6 0 5. S\u0131n\u0131f 101","Uyguluyorum Birim Kesirleri S\u0131ralama ve Test Say\u0131 Do\u011frusunda G\u00f6sterme 23 9.\t 13.\t A\u015fa\u011f\u0131daki s\u0131ralamalardan hangisi yanl\u0131\u015ft\u0131r? A) 1 < 1 < 1 B) 1 > 1 > 1 84 85 87 \t 20 30 40 11 1 1 11 C) 98 > 99 > 100 \tD) 11 < 9 < 7 Yukar\u0131da modellenen kesri olu\u015fturmak i\u00e7in ka\u00e7 14.\t 1 1 5 2 1 birim kesir kullan\u0131lm\u0131\u015ft\u0131r? 203 3 99 5 15 A) 13\t B) 14\tC) 15\tD) 16 7141 3 25 37 19 13 7 Yukar\u0131da verilen kesirlerden ka\u00e7 tanesi birim ke- sirdir? 10.\t A\u015fa\u011f\u0131da verilen s\u0131ralamalardan hangisi yanl\u0131\u015f ve- A) 4\t B) 5\tC) 6\tD) 7 rilmi\u015ftir? A) 1 > 1 > 1 B) 1 < 1 < 1 2 8 10 \t 16 12 6 1 11 1 11 C) 23 > 14 > 7 \tD) 35 < 18 < 3 15.\t \t\t 1 >1 6+A 9 11.\t A\u015fa\u011f\u0131da verilen birim kesirlerden hangisi say\u0131 Yukar\u0131da verilen s\u0131ralamaya g\u00f6re \u201cA\u201d yerine a\u015fa- \u011f\u0131daki say\u0131lardan hangisi yaz\u0131lamaz? do\u011frusu \u00fczerinde g\u00f6sterildi\u011finde s\u0131f\u0131ra en yak\u0131n- d\u0131r? A) 0\t B) 1\tC) 2\tD) 3 1 111 A) 4 \t B) 5 \tC) 7 \tD) 9 16.\t \t\t 1, 1 , 1, 1 6 14 3 8 11 12.\t Bir ya\u015f pastan\u0131n 12 \u2019ini Arma\u011fan, 8 \u2019ini Nurcan, Yukar\u0131da verilen birim kesirler k\u00fc\u00e7\u00fckten b\u00fcy\u00fc- 11 \u011fe do\u011fru s\u0131raland\u0131\u011f\u0131nda 2. kesir a\u015fa\u011f\u0131dakilerden 10 \u2019ini Yal\u00e7\u0131n ve 5 \u2019ini Mert yemi\u015ftir. Buna g\u00f6re bu pastadan en fazla kim yemi\u015ftir? hangisi olur? A) Arma\u011fan\t B) Nurcan 1 11 1 A) 6 \t B) 3 \tC) 8 \tD) 14 C) Yal\u00e7\u0131n\tD) Mert 102 5. S\u0131n\u0131f","Tam Say\u0131l\u0131 ve Bile\u015fik Kesirler \u2022 Pay\u0131 paydas\u0131ndan k\u00fc\u00e7\u00fck olan kesirlere basit kesir denir. \u00d6rnek: 1 , 2 , 100 , 10 3 5 101 25 \t\t 3 03 1 4 4 Basit kesirler say\u0131 do\u011frusunda 0 ile 1 aras\u0131nda bulunur. \u2022 Pay\u0131 paydas\u0131ndan b\u00fcy\u00fck ya da pay\u0131 paydas\u0131na e\u015fit olan kesirlere bile\u015fik kesir denir. \u00d6rnek: 2 , 4 , 7 , 33 , 15 , 1, 2, ..... 2 3 5 17 4 \t\t 5 4 \u2022 Bir sayma say\u0131s\u0131 ile bir basit kesirden olu\u015fan kesirlere tam say\u0131l\u0131 kesir denir. \u00d6rnek: 1 1 , 3 2 , 4 12 , ... tam k\u0131s\u0131m 1 kesir k\u0131sm\u0131 \u201c\u00dc\u00e7 tam yedide bir\u201d 2 5 13 3 \u201c\u00dc\u00e7 tam bir b\u00f6l\u00fc yedi\u201d \u015feklinde okunur. 7 \t\t 1 3 4 Tam say\u0131l\u0131 kesir, bir sayma say\u0131s\u0131 ile bir basit kesrin toplam\u0131na e\u015fittir. \u00d6rnek: 1 3 = 1 tam + 3 = 1 + 3 4 44 20 1.\t A\u015fa\u011f\u0131da verilen kesirleri do\u011fru olan kesir \u00e7e\u015fidi ile e\u015fle\u015ftiriniz. a) 11 d) 18 5 9 2 Basit Kesir 1 b) 7 Bile\u015fik Kesir e) 3 Tamsay\u0131l\u0131 Kesir c) 31 f) 5 2 \u00e7) 4 g) 9 4 4 5. S\u0131n\u0131f 103","Tam Say\u0131l\u0131 ve Bile\u015fik Kesirler NOT: Bile\u015fik kesirleri modelle g\u00f6sterirken; NOT: Tam say\u0131l\u0131 kesirleri modelle g\u00f6sterirken; \t\t 13 5 4 4 Yukar\u0131daki \u00f6rnekte oldu\u011fu gibi tam k\u0131s\u0131m par\u00e7alara Yukar\u0131daki \u00f6rnekte oldu\u011fu gibi b\u00fct\u00fcnler, paydadaki ayr\u0131lmaz. say\u0131 kadar e\u015f par\u00e7aya b\u00f6l\u00fcn\u00fcr. 3.\t A\u015fa\u011f\u0131da verilen bo\u015fluklar\u0131 uygun bi\u00e7imde ta- 2.\t A\u015fa\u011f\u0131da modellenen \u015fekillere kar\u015f\u0131l\u0131k gelen kesri mamlay\u0131n\u0131z. yaz\u0131n\u0131z. a)\t A kesrini basit kesir yapan en b\u00fcy\u00fck do\u011fal say\u0131 7 a) b) .................... d\u0131r. ......................... ......................... b)\t 27 kesrini bile\u015fik kesir yapan en b\u00fcy\u00fck do\u011fal B say\u0131 .................... d\u0131r. c) \u00e7) 4.\t A\u015fa\u011f\u0131da verilen kesirlerin bile\u015fik kesir olabilme- leri i\u00e7in sembollerin alabilece\u011fi do\u011fal say\u0131 de\u011fer- ......................... ......................... lerini bulunuz. d) a)\t 5 \t \ufffd \u00a1 .............................................. Y 11 \ufffd \u00a1 .............................................. b)\t Y + 5 \t ......................... 5.\t A\u015fa\u011f\u0131da verilen kesirlerin basit kesir olabilmeleri e) i\u00e7in sembollerin alabilece\u011fi do\u011fal say\u0131 de\u011ferleri- ni bulunuz. a)\t _ \t \ufffd \u00a1 .............................................. 4 b)\t _+3 \t \ufffd \u00a1 .............................................. 10 \ufffd \u00a1 .............................................. ......................... 2 5. S\u0131n\u0131f c)\t _ - 1 \t 104","Tam Say\u0131l\u0131 ve Bile\u015fik Kesirler 6.\t 6 kesrini basit kesir yapan \ufffd say\u0131s\u0131 en az ka\u00e7t\u0131r? B+4 Y 10.\t 13 kesri basit kesir ise B\u2019nin alabilece\u011fi ka\u00e7 farkl\u0131 do\u011fal say\u0131 de\u011feri vard\u0131r? 7.\t _ kesri bile\u015fik kesir ise \ufffd sembol\u00fcn\u00fcn alabile- KL 9 11.\t 12 kesri yar\u0131ma, 3 kesri b\u00fct\u00fcne e\u015fit ise K + L ka\u00e7t\u0131r? ce\u011fi de\u011fer en az ka\u00e7t\u0131r? 12.\t Y kesri basit kesirdir. 14 11 kesri bile\u015fik kesirdir. T 8.\t T kesri basit kesir oldu\u011funa g\u00f6re \ufffd\u2019n\u0131n alabile- Yukar\u0131da verilenlere g\u00f6re \ufffd + \ufffd i\u015fleminin alabile- 7 ce\u011fi en b\u00fcy\u00fck de\u011fer ka\u00e7t\u0131r? ce\u011fi en b\u00fcy\u00fck do\u011fal say\u0131 de\u011feri ka\u00e7t\u0131r? 13.\t \t\t 3 17 = A + 17 19 B A+2 Yukar\u0131da verilen e\u015fitli\u011fe g\u00f6re B \u2013 A i\u015fleminin so- 9.\t 5 kesrini bile\u015fik kesir yapan en k\u00fc\u00e7\u00fck do\u011fal nucu ka\u00e7t\u0131r? say\u0131 de\u011ferini bulunuz. 5. S\u0131n\u0131f 105","Tam Say\u0131l\u0131 ve Bile\u015fik Kesirlerin Birbirine D\u00f6n\u00fc\u015ft\u00fcr\u00fclmesi \u2022\t Bir tam say\u0131l\u0131 kesri, bile\u015fik kesre \u00e7evirirken; \t \ufffd Tam say\u0131l\u0131 kesrin tam k\u0131sm\u0131 payda ile \u00e7arp\u0131l\u0131r. \t \ufffd Bulunan \u00e7arp\u0131m, pay ile toplanarak paya yaz\u0131l\u0131r. \t \ufffd B\u00fct\u00fcndeki par\u00e7a say\u0131s\u0131 de\u011fi\u015fmedi\u011finden payda aynen kal\u0131r. \u00d6rnek: 21 tam say\u0131l\u0131 kesrini bile\u015fik kesre d\u00f6n\u00fc\u015ft\u00fcrelim. 4 1. Yol: 2 1 4 Modellenen tam say\u0131l\u0131 kesirlerdeki b\u00fct\u00fcnleri de a\u015fa\u011f\u0131daki gibi e\u015f b\u00fcy\u00fckl\u00fckteki par\u00e7alara ay\u0131ral\u0131m. 4 tane 1 4 tane 1 1 tane 1 \u2020 9 tane 1 kesrini ifade etti\u011fi i\u00e7in; 2 1 = 9 olur. 4 4 4 4 4 4 2. Yol: + = ^2 x 4h + 1 = 9 21 4 4 4 x \u2022 Bile\u015fik kesri tam say\u0131l\u0131 kesre \u00e7evirirken; \t \ufffd Pay, paydaya b\u00f6l\u00fcn\u00fcr. \t \ufffd B\u00f6l\u00fcm tam k\u0131sma, kalan paya ve b\u00f6len paydaya yaz\u0131l\u0131r. \u00d6rnek: 13 5 kesrini tamsay\u0131l\u0131 kesre d\u00f6n\u00fc\u015ft\u00fcrelim. 13 ( 13 5 payda 13 3 5 10 2 tam k\u0131s\u0131m =2 pay 3 \t\t 55 21 c) 1.\t Modellenen tam say\u0131l\u0131 kesirleri bile\u015fik kesre \u00e7e- viriniz. a) d) b) 106 5. S\u0131n\u0131f","Tam Say\u0131l\u0131 ve Bile\u015fik Kesirlerin Birbirine D\u00f6n\u00fc\u015ft\u00fcr\u00fclmesi 2.\t A\u015fa\u011f\u0131da verilen tam say\u0131l\u0131 kesirleri bile\u015fik kesre 3.\t A\u015fa\u011f\u0131da verilen bile\u015fik kesirleri tam say\u0131l\u0131 kesre \u00e7eviriniz. \u00e7eviriniz. a)\t 1 1 = ..................... \t b)\t 32 = .................... 7 11 2 3 a)\t 3 = ...................... \t b)\t 2 = ...................... 57 13 21 c)\t 2 7 = .................... \t \u00e7)\t 1 = ..................... c)\t 4 = ..................... \t \u00e7)\t 5 = ..................... 9 15 46 23 d)\t 4 5 = .................... \t e)\t 2 = .................... d)\t 7 = .................... \t e)\t 6 = ..................... 6 f)\t 71 = .................... \t g)\t 81 = .................... 34 8 3 4 f)\t 4 = .................... \t g)\t 7 = ....................... 33 19 38 \u011f)\t11 7 = ................... \t h)\t 6 = .................... \u011f)\t 5 = ..................... \t h)\t 9 = ..................... 8 64 56 15 \u0131)\t 5 = ................... \t i)\t 3 = .................... \u0131)\t 11 = .................... \t i)\t 4 = ..................... 11 5 j)\t 12 1 = ................... \t k)\t 92 = .................... 20 36 4 5 j)\t 3 = .................... \t k)\t 8 = ..................... 65 75 57 l)\t 2 = ................... \t m)\t 3 8 = .................... l)\t 9 = .................... \t m)\t 10 = ..................... 11 27 17 29 n)\t 4 9 = .................... \t o)\t 2 = ................... n)\t 6 = ..................... \t o)\t 13 = ..................... 13 \u00f6)\t 1 5 = ................... \t p)\t 34 = ................... 25 37 17 15 \u00f6)\t 3 = .................... \t p)\t 7 = ..................... 5. S\u0131n\u0131f 107","Tam Say\u0131l\u0131 ve Bile\u015fik Kesirlerin Birbirine D\u00f6n\u00fc\u015ft\u00fcr\u00fclmesi 4.\t A\u015fa\u011f\u0131da verilen e\u015fitliklerdeki bilinmeyen harflere 5.\t 3 T+2 tam say\u0131l\u0131 kesri 19 bile\u015fik kesrine e\u015fit ol- kar\u015f\u0131l\u0131k gelen say\u0131lar\u0131n toplam\u0131n\u0131 bulunuz. 5 5 a)\t 54 = a \t a+b= du\u011funa g\u00f6re \ufffd ka\u00e7t\u0131r? 9 b\t 2a b)\t 3 = b\t \t a+b= 7 19 b \t a+b+c= c)\t 5 = a c \t 33 6.\t 4 kesri tam say\u0131l\u0131 kesir olarak g\u00f6sterildi\u011finde 21 b pay\u0131 \ufffd, 2 5 kesri bile\u015fik kesir olarak g\u00f6sterildi- 8 c 7 \u00e7)\t = a \t \t a+b= \u011finde pay\u0131 \ufffd ise \ufffd + \ufffd de\u011feri ka\u00e7t\u0131r? 3a d)\t 2 = b\t \t a+b= 11 43 b \t a+b+c= e)\t 6 = a c \t f)\t 30 = a b \t \t a+b+c= 7.\t 5[ tam say\u0131l\u0131 kesri 48 kesrine e\u015fit oldu\u011funa 9 c 9 9 g\u00f6re [ 2 tam say\u0131l\u0131 kesrine kar\u015f\u0131l\u0131k gelen bile\u015fik [ 1a kesiri yaz\u0131n\u0131z. g)\t 4 = b\t \t a+b= 6 1a \u011f)\t 2 = b\t \t a+b= 3 h)\t 17 = a 1 \t \t a+b= 2 b 35 b \t a+b= UYARI: Tam say\u0131l\u0131 kesri bile\u015fik kesre \u00e7evirir- \u0131)\t 4 = a 4 \t ken ya da bile\u015fik kesri tam say\u0131l\u0131 kesre \u00e7evirir- ken, b\u00fct\u00fcn\u00fcn b\u00f6l\u00fcnd\u00fc\u011f\u00fc par\u00e7a say\u0131s\u0131 de\u011fi\u015f- medi\u011finden, payda da de\u011fi\u015fmez. 108 5. S\u0131n\u0131f","Test Tam Say\u0131l\u0131 ve Bile\u015fik Kesirler Uyguluyorum 24 1.\t A kesrinin basit kesir olabilmesi i\u00e7in A\u2019n\u0131n ala- 4 14 6 5.\t I.\t 2= bilece\u011fi de\u011ferler toplam\u0131 ka\u00e7t\u0131r? 5 5 3 57 \t II.\t 7 = 8 8 A) 5\t B) 9\tC) 15\tD) 11 2 56 \t III.\t6 9 = 9 Yukar\u0131da verilen e\u015fitliklerden hangileri do\u011fru- dur? 2.\t A) I ve II\t B) I ve III 1 7 3 9 10 13 , ,2 , , , ,1 C) II ve III\tD) I, II ve III 3 4 5 9 11 8 Yukar\u0131da verilen kesirlerden ka\u00e7 tanesi bile\u015fik kesirdir? A) 1\t B) 2\tC) 3\tD) 4 6.\t Melih \u00e7eyrek ekmeklerden 7 tane yedi\u011fine g\u00f6re, Melih\u2019in yedi\u011fi ekmek miktar\u0131 a\u015fa\u011f\u0131daki tam say\u0131l\u0131 kesirlerden hangisi ile g\u00f6sterilebilir? 1 33 1 A) 1 7 \t B) 1 7 \tC) 1 4 \tD) 2 7 13 3.\t 3 kesrinin tam say\u0131l\u0131 kesir olarak g\u00f6sterimi a\u015fa\u011f\u0131dakilerden hangisidir? 1 111 3 A) 1 3 \t B) 2 3 \tC) 3 3 \tD) 4 3 7.\t 4 tam say\u0131l\u0131 kesrinin bile\u015fik kesir olarak g\u00f6ste- 7 rimi a\u015fa\u011f\u0131dakilerden hangisidir? 16 24 31 33 A) 7 \t B) 7 \tC) 7 \tD) 7 4.\t 8.\t \t\t 19 Y 8 8 =T Yukar\u0131da modellemesi verilen kesir a\u015fa\u011f\u0131dakiler- den hangisidir? Yukar\u0131daki e\u015fitli\u011fi sa\u011flayan \ufffd ve \ufffd do\u011fal say\u0131lar\u0131 i\u00e7in \ufffd + \ufffd ka\u00e7t\u0131r? 9 10 11 13 A) 4 \t B) 4 \tC) 4 \tD) 4 A) 5\t B) 6\tC) 7\tD) 8 5. S\u0131n\u0131f 109","Uyguluyorum Tam Say\u0131l\u0131 ve Bile\u015fik Kesirler Test 24 9.\t 13.\t 2 12 13 I. 2 5 = 5 \t \t III. 1 3 = 4 41 1 43 II. 2 3 = 3 3 \t \t IV. 7 = 6 6 Yukar\u0131da modellemesi yap\u0131lan kesrin 13 kesrine Yukar\u0131da verilen e\u015fitliklerden ka\u00e7 tanesi yanl\u0131\u015f- 8 t\u0131r? e\u015fit olmas\u0131 isteniyor. Bunun i\u00e7in ka\u00e7 par\u00e7an\u0131n daha boyanmas\u0131 gere- A) 4\t B) 3\tC) 2\tD) 1 kir? A) 5\t B) 4\tC) 3\tD) 2 14.\t 74 B 1235 E = A ve =D 77 123 123 10.\t \t\t 15 Yukar\u0131da verilenlere g\u00f6re A + D i\u015fleminin sonucu K-8 a\u015fa\u011f\u0131dakilerden hangisidir? kesri basit kesir oldu\u011funa g\u00f6re K\u2019n\u0131n alabilece\u011fi A) 20\t B) 30\tC) 40\tD) 50 en k\u00fc\u00e7\u00fck do\u011fal say\u0131 de\u011feri ka\u00e7t\u0131r? A) 25\t B) 24\tC) 23\tD) 22 15.\t 5 ve B kesirleri birer bile\u015fik kesirlerdir. A 13 11.\t A\u015fa\u011f\u0131daki e\u015fitliklerden hangisi yanl\u0131\u015ft\u0131r? En b\u00fcy\u00fck A ve en k\u00fc\u00e7\u00fck B do\u011fal say\u0131lar\u0131n\u0131n top- 51 63 3 lam\u0131 ka\u00e7t\u0131r? A) 4 = 1 4 \t B) 10 =6 A) 17\t B) 18\tC) 19\tD) 20 10 C) 32 = 3 2 \tD) 52 = 10 2 3 3 5 5 1B 16.\t Bir aile bir g\u00fcnde 29 dilim ekmek t\u00fcketmektedir. 12.\t 11 tane 3 birim kesrinden olu\u015fan kesir A 3 ol- 1 du\u011funa g\u00f6re A \u2013 B ka\u00e7t\u0131r? Her dilim, bir ekme\u011fin 8 \u2019i oldu\u011funa g\u00f6re bu ai- lenin bir g\u00fcnde t\u00fcketti\u011fi ekmek miktar\u0131 a\u015fa\u011f\u0131daki A) 1\t B) 5\tC) 7\tD) 10 tam say\u0131l\u0131 kesirlerden hangisi ile g\u00f6sterilebilir? 85 1 5 A) 1 29 \t B) 2 8 \tC) 3 8 \tD) 3 8 110 5. S\u0131n\u0131f","Bir Do\u011fal Say\u0131 ile Bile\u015fik Kesrin Kar\u015f\u0131la\u015ft\u0131r\u0131lmas\u0131 \u2022\t Bile\u015fik kesir ile do\u011fal say\u0131 kar\u015f\u0131la\u015ft\u0131r\u0131l\u0131rken; \t \ufffd Bile\u015fik kesir tam say\u0131l\u0131 kesire \u00e7evrilir. \t \ufffd Bile\u015fik kesrin tam k\u0131sm\u0131 ile do\u011fal say\u0131 kar\u015f\u0131la\u015ft\u0131r\u0131l\u0131r. \t \ufffd E\u015fit olduklar\u0131 durumda bile\u015fik kesir ile do\u011fal say\u0131 kar\u015f\u0131la\u015ft\u0131r\u0131l\u0131r. \u2022\t Her do\u011fal say\u0131 paydas\u0131 1 olan kesir olarak ifade edilebilir. \u00d6rnek: 5= 5 = 10 \t\t 3= 3 = 6 1 2 12 \u00d6rnek: 9 \u00d6rnek: 7 3 ile 4 \u2019\u00fc kar\u015f\u0131la\u015ft\u0131ral\u0131m. 3 ile 2 \u2019yi kar\u015f\u0131la\u015ft\u0131ral\u0131m. 9 7 4 kesrini tam say\u0131l\u0131 kesre \u00e7evirelim. 2 kesrini tam say\u0131l\u0131 kesre \u00e7evirelim. 9 = 2 1 ^TamK\u203asm\u203a 2h 7 = 3 1 (Tam k\u203asm\u203a 3) 4 4 22 Buna g\u00f6re; 3>2 1 olur. Tam k\u0131s\u0131mlar\u0131 e\u015fit oldu\u011fundan, 4 9 1 >3 yani 7 > 3 olur. Yani 3 > 4 \u2019dir. 3 2 2 \u2022 Basit kesirler her zaman 1\u2019den k\u00fc\u00e7\u00fckt\u00fcr. 22 1.\t A\u015fa\u011f\u0131da verilen do\u011fal say\u0131lar\u0131 farkl\u0131 bile\u015fik kesir- 2.\t A\u015fa\u011f\u0131da verilen bo\u015fluklar\u0131 uygun \u015fekilde doldu- ler olarak \u00f6rnekteki gibi g\u00f6steriniz. runuz. 4= 4 8 12 a)\t 5= 5 = ..... = ..... a)\t == ..... 2 3 12 3 6 ..... 18 b)\t 7 = .................................................................... b)\t 6 = ..... = = 2 ..... ..... 18 27 c)\t 2 = .................................................................... c)\t 9 = == 1 ..... ..... \u00e7)\t 3 = .................................................................... \u00e7)\t 11 = 11 = ..... = 33 ..... 2 ..... d)\t 4 = .................................................................... 10 20 30 d)\t 10 = ..... = ..... = ..... 111 5. S\u0131n\u0131f","Bir Do\u011fal Say\u0131 ile Bile\u015fik Kesrin Kar\u015f\u0131la\u015ft\u0131r\u0131lmas\u0131 3.\t A\u015fa\u011f\u0131da verilen do\u011fal say\u0131 ve bile\u015fik kesirleri 5.\t A\u015fa\u011f\u0131daki kar\u015f\u0131la\u015ft\u0131rmalarda harfe kar\u015f\u0131l\u0131k gelen \u201c<, =, >\u201d sembolleri ile kar\u015f\u0131la\u015ft\u0131r\u0131n\u0131z. do\u011fal say\u0131lar\u0131 bulunuz. 5 6 a)\t A< 9 \t \t A= a)\t 2.................... 3 \t b)\t1....................... 5 2 7 10 11 B= c)\t 2 .................... 3\t \u00e7)\t 3 .....................4 b)\t B < 3 \t\t C= D= 23 37 24 E= d)\t 7.................. 3 \t e)\t 4 .....................5 c)\t C < 5 \t 19 20 \u00e7)\t D< 7 f)\t 4 .................. 4\t g)\t 6.................... 3 4\t\t 14 15 19 \u011f)\t 13 ...................1\t h)\t 2..................... 7 d)\t E < 2 \t\t 15 41 6.\t A\u015fa\u011f\u0131da verilen kar\u015f\u0131la\u015ft\u0131rmalarda bilinmeyen \u0131)\t 5................... 3 \t i)\t11.................... 4 harfe kar\u015f\u0131l\u0131k gelen en k\u00fc\u00e7\u00fck do\u011fal say\u0131y\u0131 bulu- nuz. 21 28 j)\t 21................. 6 \t k)\t 8.................... 4 a)\t A> 11 \t\t A= 4 22 B= b)\t B > 3 \t\t 36 17 25 C= l)\t 4.................. 9 \t m)\t 4 .....................4 c)\t C > 7 \t D= \u00e7)\t D> 41 8 \t\t 13 5 32 4.\t Eliz bir haftada 4 elma, Sare ise 4 elma yemi\u015ftir. Hangisinin daha fazla elma yedi\u011fini bulunuz. 7.\t < .......... < s\u0131ralamas\u0131na g\u00f6re noktal\u0131 yere 25 yaz\u0131labilecek en k\u00fc\u00e7\u00fck do\u011fal say\u0131 ile en b\u00fcy\u00fck do\u011fal say\u0131n\u0131n toplam\u0131 ka\u00e7t\u0131r? 112 5. S\u0131n\u0131f","Test Bir Do\u011fal Say\u0131 ile Bir Bile\u015fik Uyguluyorum 25 Kesri Kar\u015f\u0131la\u015ft\u0131rma 35 5.\t A\u015fa\u011f\u0131daki kesirlerden hangisi say\u0131 do\u011frusunda 3 1.\t I.\t >5 8 ile 4 aras\u0131ndad\u0131r? \t II.\t 48 = 8 19 8 5 11 6 A) 5 \t B) 3 \tC) 7 \tD) 4 17 \t III.\t 3 < 6 Yukar\u0131da verilenlerden hangileri do\u011frudur? A) I ve II\t B) Yaln\u0131z II C) II ve III\tD) I, II ve III 6.\t A< 41 kar\u015f\u0131la\u015ft\u0131rmas\u0131nda A yerine yaz\u0131labilecek 6 en b\u00fcy\u00fck do\u011fal say\u0131 a\u015fa\u011f\u0131dakilerden hangisidir? A) 5\t B) 6\tC) 7\tD) 8 28 2.\t 5 bile\u015fik kesrinden k\u00fc\u00e7\u00fck ka\u00e7 tane do\u011fal say\u0131 vard\u0131r? A) 3\t B) 4\tC) 5\tD) 6 7.\t A\u015fa\u011f\u0131dakilerden hangisi do\u011frudur? 18 11 A) 7 > 2\t B) 9 < 1 3.\t A\u015fa\u011f\u0131daki kar\u015f\u0131la\u015ft\u0131rmalardan hangisi do\u011frudur? 29 13 C) 5 > 4 \tD) 3 < 5 A) 14 > 5\t B) 12 >2 5 7 23 27 C) 2 > 8\tD) 6 > 5 8.\t \t\t 14 63 5 <Y< 8 4.\t A\u015fa\u011f\u0131daki kesirlerden hangisi 6\u2019dan k\u00fc\u00e7\u00fckt\u00fcr? Yukar\u0131da verilen s\u0131ralamaya g\u00f6re a yerine ka\u00e7 farkl\u0131 do\u011fal say\u0131 yaz\u0131labilir? 13 17 29 33 A) 2 \t B) 3 \tC) 4 \tD) 5 A) 8\t B) 7\tC) 6\tD) 5 5. S\u0131n\u0131f 113","Uyguluyorum Bir Do\u011fal Say\u0131 ile Bir Bile\u015fik Test Kesri Kar\u015f\u0131la\u015ft\u0131rma 25 9.\t A 12.\t \t\t B Y> 49 ve 37 > T 15 9 Say\u0131 do\u011frusu \u00fczerindeki A ve B do\u011fal say\u0131lar\u0131 ard\u0131\u015f\u0131k Yukar\u0131da verilen kar\u015f\u0131la\u015ft\u0131rmaya g\u00f6re \ufffd\u2019nin en say\u0131lar ve toplamlar\u0131 9\u2019dur. k\u00fc\u00e7\u00fck, \ufffd\u2019nin en b\u00fcy\u00fck do\u011fal say\u0131 de\u011ferleri top- lam\u0131 ka\u00e7t\u0131r? Buna g\u00f6re \ufffd yerine a\u015fa\u011f\u0131dakilerden hangisi ya- z\u0131labilir? A) 8\t B) 7\tC) 6\tD) 5 17 11 13 15 A) 5 \t B) 4 \tC) 3 \tD) 2 13.\t A\u015fa\u011f\u0131dakilerden hangisinin sonucu 9\u2019a e\u015fit de- 10.\t \u011fildir? 11 9 27 12 15 3 9 18 27 81 28 5 5 13 4 A) 1 \t B) 2 \tC) 3 \tD) 18 13 19 3 22 1 14.\t A\u015fa\u011f\u0131da her do\u011fal say\u0131 aras\u0131 3 e\u015f par\u00e7aya ayr\u0131lm\u0131\u015f- 6 72 11 2 t\u0131r. Yukar\u0131da verilen kesirlerden ka\u00e7 tanesi 2\u2019den b\u00fc- 01 23 y\u00fckt\u00fcr? K A) 4\t B) 5\tC) 6\tD) 7 11.\t I. Y >31 44 ifadesinde \ufffd yerine yaz\u0131labilecek Buna g\u00f6re K harfine kar\u015f\u0131l\u0131k gelen kesir a\u015fa\u011f\u0131da- en k\u00fc\u00e7\u00fck do\u011fal say\u0131 14\u2019t\u00fcr. kilerden hangisi olamaz? 21 25 A) 1 + 3 \t B) 3 \tC) 1 3 \tD) 3 II. Her do\u011fal say\u0131 paydas\u0131na 1 yaz\u0131larak kesir \u015feklinde yaz\u0131labilir. III. 11 ile 28 15.\t 59 41 53 7 3 kesirleri aras\u0131nda 7 tane do\u011fal I. < 8\t \t II. 13 < \t say\u0131 vard\u0131r. 37 28 4 4 III. > 9\t IV. =7 Yukar\u0131da verilen ifadelerden hangileri do\u011frudur? A) Yaln\u0131z II\t B) I ve II Yukar\u0131da verilenlerden ka\u00e7 tanesi do\u011frudur? C) II ve III\tD) I, II ve III A) 1\t B) 2\tC) 3\tD) 4 114 5. S\u0131n\u0131f","Denk Kesirler \u2022\t Bir b\u00fct\u00fcn\u00fcn ayn\u0131 miktar\u0131n\u0131 g\u00f6steren kesirlere denk kesirler denir. Birbirine denk kesirleri g\u00f6sterirken \u201c=\u201d sembo- l\u00fcn\u00fc kullan\u0131r\u0131z. 1236 2 4 6 12 Ayn\u0131 b\u00fcy\u00fckl\u00fckteki 4 model, farkl\u0131 say\u0131da e\u015f par\u00e7alara ayr\u0131lm\u0131\u015f ve farkl\u0131 say\u0131da e\u015f par\u00e7as\u0131 boyanm\u0131\u015f olmas\u0131na ra\u011fmen hepsi yar\u0131m\u0131 g\u00f6sterir. Bundan dolay\u0131 bu kesirler denk kesirdir. 1 = 2 = 3 = 6 olarak g\u00f6sterilir. 2 4 6 12 \ufffd\tBir kesrin pay ve paydas\u0131n\u0131 ayn\u0131 sayma say\u0131s\u0131 ile \u00e7arpmak veya b\u00f6lmek kesrin de\u011ferini de\u011fi\u015ftirmez. \u2022\t Bir kesrin pay ve paydas\u0131n\u0131 1\u2019den b\u00fcy\u00fck olan ayn\u0131 say\u0131 ile \u00e7arpma i\u015flemine kesri geni\u015fletme, pay ve paydas\u0131n\u0131 1\u2019den b\u00fcy\u00fck ayn\u0131 say\u0131 ile b\u00f6lme i\u015flemine kesri sadele\u015ftirme denir. \u00d6rnek: \u00d6rnek: 3 16 \u2022 5 kesrini 4 ile geni\u015fletelim. \u2022 24 kesrini 8 ile sadele\u015ftirelim. \t\t 3 = 3 x 4 = 12 \t\t 16 = 16 \u00f7 8 = 2 5 5 x 4 20 24 24 \u00f7 8 3 \u2022 1 2 kesrini 5 ile geni\u015fletelim. \u2022 2 12 kesrini 4 ile sadele\u015ftirelim. 3 20 \t\t 1 2 = 1 2 x 5 = 1 10 \t\t 2 12 = 2 12 \u00f7 4 = 2 3 3 3 x 5 15 20 20 \u00f7 4 5 23 1.\t A\u015fa\u011f\u0131da verilen denk kesirlerde, bo\u015f yerlere uygun say\u0131lar\u0131 yaz\u0131n\u0131z. a) 1 = Y \t 26 c) 21 = Y \t \u00e7) 6 = Y 2 14 b) 11 = Y \t 63 21 9 12 d) Y = 3 e) 5 = 20 f) 2 = 18 g) Y = 7 20 4\t Y 20 \t 9 Y\t 32 8 4 12 1 = Y 42 6 15 12 \u011f) 7 = Y \t h) 8 56 \t \u0131) 56 = Y \t i) = Y 28 5. S\u0131n\u0131f 115","Denk Kesirler 2.\t A\u015fa\u011f\u0131daki tablolarda verilen kesirlerden denk 5.\t A\u015fa\u011f\u0131da verilen kesirleri parantez i\u00e7inde yazan olanlar\u0131 e\u015fle\u015ftiriniz. say\u0131 kadar geni\u015fletiniz. 21 1 2 33 a)\t 4 .......................\t b)\t 5 ........................ 46 ^3h ^2h 12 15 1 10 39 8 c)\t 2 .......................\t \u00e7)\t 7 ....................... 65 12 ^7h ^4h 2 25 5 60 5 4 d)\t 6 .......................\t e)\t 3 ........................ 20 7 70 6 ^5h ^2h 53 f)\t 2 2 .....................\t g)\t 1 3 ...................... 12 5 9 11 63 35 ^3h ^5h 54 35 1 4 62 \u011f)\t 7 10 .....................\t h)\t 3 9 ..................... 67 ^8h ^2h 3.\t \t 6.\t A\u015fa\u011f\u0131da verilen kesirleri belirtilen say\u0131larla sade- le\u015ftirerek denk kesirler elde ediniz. 7 = 42 ve 24 = 3 9A B4 45 9 ile sadele\u015ftirelim. a)\t 36 \t \u00a1\t Buna g\u00f6re A + B toplam\u0131 ka\u00e7t\u0131r? 16 4 ile sadele\u015ftirelim. b)\t 40 \t \u00a1\t 4.\t A\u015fa\u011f\u0131da verilen kesir \u00e7iftlerinden birbirine denk 18 2 ile sadele\u015ftirelim. olanlar\u0131n yan\u0131na \u201c\ufffd\u201d i\u015fareti koyunuz. c)\t 34 \t \u00a1\t 3 ile sadele\u015ftirelim. 15 ile sadele\u015ftirelim. 81 12 6 a) 24 ile 3 \t b) ile 27 9 93 42 9 c) 12 ile 4 \t \u00e7) ile \u00e7)\t 24 \t \u00a1\t 14 7 21 12 13 1 d)\t 2 30 \t \u00a1\t d) 35 ile 20 \t e) ile 45 20 6 116 5. S\u0131n\u0131f","Denk Kesirler 9.\t A\u015fa\u011f\u0131da verilen ifadelerin denk kesir olabilmesi i\u00e7in bo\u015fluklara uygun say\u0131lar yaz\u0131n\u0131z. NOT: Kesrin pay ve paydas\u0131n\u0131 b\u00f6lebilen 1\u2019den a)\t 4 = Y \t b)\t 5 = Y ba\u015fka bir say\u0131 kalmad\u0131\u011f\u0131nda kesrin en sade 12 3 7 21 hali elde edilmi\u015f olur. \u00d6rnek: : 2 : 3 : 5 90 = 45 = 15 = 3 e saDdaehlea\ufb02feamzleaz.o 60 30 10 2 Y = 35 18 = 6 :2 :3 :5 c)\t 12 60 \t \u00e7)\t 45 Y 7.\t A\u015fa\u011f\u0131da verilen kesirlerin en sade halini bulunuz. 3 Y 30 6 8 24 Y 13 6 2 d)\t 1 = 1 \t e)\t 2 =2 a)\t 9 .........................\t b)\t 4 ......................... 12 22 f)\t 12 = 1 \t g)\t 24 = Y c)\t 16 .......................\t \u00e7)\t 33 ....................... 36 Y 36 6 18 36 10.\t A\u015fa\u011f\u0131da verilen denk kesirlerdeki harflerin yerine d)\t 24 .......................\t e)\t 40 ....................... yaz\u0131lacak say\u0131lar\u0131 bulunuz. 35 17 a)\t 6 = 2 \t A= f)\t 49 .......................\t g)\t 34 ....................... A+5 3\t 42 24 2+B 1 \t B= \u011f)\t 56 .......................\t h)\t 32 ....................... b)\t 45 = 5 \t 40 9 \u0131)\t 50 .......................\t i)\t 2 45 ..................... 14 C - 1 c)\t = 12 \t \t C= 24 48 A \u00e7)\t 48 = 16 \t \u00c7= 8.\t 30 = B verilen ifadenin denk kesirler olabilmesi 27 \u00c7+1 \t i\u00e7in A ve B yerine yaz\u0131labilecek en k\u00fc\u00e7\u00fck do\u011fal say\u0131lar\u0131n toplam\u0131 ka\u00e7t\u0131r? 15 3 D= d)\t 20 = D + 4 \t \t E + 1 14 E= e)\t 3 = 21 \t \t 5. S\u0131n\u0131f 117","Uyguluyorum Denk Kesirler Test 26 7 5.\t A\u015fa\u011f\u0131da verilen kesir \u00e7iftlerinden hangileri denk 1.\t 13 kesri geni\u015fletildi\u011finde bu kesire denk ve pay\u0131 49 kesir de\u011fildir? olan bir kesir elde ediliyor. A) 1 ile 9 B) 24 ile 2 Buna g\u00f6re bu kesrin paydas\u0131 ka\u00e7t\u0131r? 2 18 \t 60 5 A) 130\t B) 117\tC) 104\tD) 91 3 18 93 C) 4 ile 20 \tD) 21 ile 7 2.\t 6.\t \t A\u015fa\u011f\u0131dakilerden hangisi yukar\u0131da modellenen kesir ile denk de\u011fildir? A\u015fa\u011f\u0131dakilerden hangisi yukar\u0131da modellenen kesir ile denktir? 12 40 14 22 A) B) A) 18 \t B) 60 \tC) 24 \tD) 33 C) D) 42 3.\t 54 kesrinin en sade hali a\u015fa\u011f\u0131dakilerden han- gisidir? 766 7 B) 8 \tC) 8 \tD) 9 A) 9 \t 4.\t Ece: 16 = 2 24 3 \t Burak: 65 = 13 90 15 4 180 3 7.\t 9 kesri 6 ile geni\u015fletildi\u011finde a\u015fa\u011f\u0131dakilerden \t Eray: 300 = 5 hangisi elde edilir? \t Melis: 56 = 8 24 24 16 16 72 9 A) 56 \t B) 54 \tC) 54 \tD) 56 Yukar\u0131da baz\u0131 \u00f6\u011frencilerin yapt\u0131\u011f\u0131 sadele\u015ftirme i\u015f- lemleri verilmi\u015ftir. Hangi \u00f6\u011frenciler kesirlerin en sade halini yanl\u0131\u015f 2 bulmu\u015flard\u0131r? 8.\t 3 kesri a\u015fa\u011f\u0131daki kesirlerden hangisi ile denk- 5 tir? A) Ece ve Eray\t B) Burak ve Eray 4 4 12 6 A) 10 \t C) Ece ve Melis\tD) Burak ve Melis B) 3 10 \tC) 5 \tD) 3 20 118 5. S\u0131n\u0131f","Test Denk Kesirler Uyguluyorum 26 9.\t \t\t 13.\t \t\t K 48 = K 27 = L 60 5 45 Yukar\u0131daki e\u015fitli\u011fe g\u00f6re K yerine hangi say\u0131 gel- K ve L yerine a\u015fa\u011f\u0131dakilerden hangisi yaz\u0131lamaz? melidir? K L A) 3\t B) 4\tC) 5\tD) 6 A) 16 24 B) 24 30 C) 12 15 D) 4 5 10.\t \t\t Y + 2 ve 13 14.\t \t\t T - 3 = 14 12 T + 8 5 35 Yukar\u0131daki kesirler yar\u0131ma denk oldu\u011funa g\u00f6re Yukar\u0131da verilen denkli\u011fi sa\u011flayan \ufffd yerine han- \ufffd \u2013 \ufffd fark\u0131 ka\u00e7t\u0131r? gi say\u0131 yaz\u0131lmal\u0131d\u0131r? A) 13\t B) 14\tC) 15\tD) 16 A) 7\t B) 6\tC) 5\tD) 4 41 15.\t 11.\t 9 kesrinin 3 kesrine denk olmas\u0131 i\u00e7in a\u015fa\u011f\u0131da- 4 kilerden hangisinin yap\u0131lmas\u0131 yanl\u0131\u015f olur? Yukar\u0131da modellenen kesrin 7 kesrine denk olmas\u0131 istenmektedir. A)\tPaydaya 3 eklenirse B)\tPaydan 1 \u00e7\u0131kar\u0131l\u0131rsa C)\tPaydan 3, paydadan 4 \u00e7\u0131kar\u0131l\u0131rsa D)\tPaydan 2, paydadan 3 \u00e7\u0131kar\u0131l\u0131rsa Buna g\u00f6re ka\u00e7 tane daha kare boyanmal\u0131d\u0131r? A) 1\t B) 2\tC) 3\tD) 4 12.\t \t 2A 8 24 = ve = 16.\t \t\t 5 35 11 B 60 = a b 36 c oldu\u011funa g\u00f6re A + B ka\u00e7t\u0131r? A) 41\t B) 43\tC) 45\tD) 47 oldu\u011funa g\u00f6re, a + b + c en az ka\u00e7t\u0131r? A) 5\t B) 6\tC) 8\tD) 11 5. S\u0131n\u0131f 119","Kesirleri Kar\u015f\u0131la\u015ft\u0131rma ve S\u0131ralama Paydalar\u0131 E\u015fit Olan Kesirler \u0130\u00e7in; \u00d6rnek: 4, 2 ve 6 kesirlerini modellerle g\u00f6sterip kar\u015f\u0131la\u015ft\u0131ral\u0131m. 77 7 4 Modelde g\u00f6sterilen taral\u0131 alanlara g\u00f6re; 7 2 < 4 < 6 olur. 7 7 7 2 7 \ufffd Paydalar\u0131 e\u015fit olan kesirlerde \u00e7okluklar- 6 daki par\u00e7a b\u00fcy\u00fckl\u00fckleri e\u015fittir. 7 \u2022 Paydalar\u0131 e\u015fit olan kesirlerden pay\u0131 b\u00fcy\u00fck olan kesir daha b\u00fcy\u00fckt\u00fcr. \t\t 1 < 4 < 7 2 < 6 < 10 999 11 11 11 Paylar\u0131 E\u015fit Olan Kesirler \u0130\u00e7in; \u00d6rnek: 2, 2 ve 2 kesirlerini modellerle g\u00f6sterip kar\u015f\u0131la\u015ft\u0131ral\u0131m. 37 12 2 Modelde g\u00f6sterilen taral\u0131 alanlara g\u00f6re; 3 2 2 2 12 < 7 < 3 olur. 2 7 2 \ufffd Payda b\u00fcy\u00fcd\u00fck\u00e7e, \u00e7okluklardaki par\u00e7a 12 b\u00fcy\u00fckl\u00fckleri k\u00fc\u00e7\u00fcl\u00fcr. \u2022 Paylar\u0131 e\u015fit olan kesirlerden paydas\u0131 k\u00fc\u00e7\u00fck olan kesir daha b\u00fcy\u00fckt\u00fcr. Pay ve Paydalar\u0131 E\u015fit Olmayan Kesirler \u0130\u00e7in; \u2022 Pay veya paydalar\u0131 e\u015fit olmayan kesirlerde pay ya da paydalar e\u015fitlenerek kar\u015f\u0131la\u015ft\u0131rma yap\u0131l\u0131r. \u00d6rnek: 3 ile 5 kesirlerini kar\u015f\u0131la\u015ft\u0131ral\u0131m. 4 12 3 = 9 3 4 12 4 kesrini 3 ile geni\u015flettik. 5 \ufffd Paydalar e\u015fit oldu\u011funda pay\u0131 b\u00fcy\u00fck 12 olan kesir daha b\u00fcy\u00fckt\u00fcr. 5<9 12 12 120 5. S\u0131n\u0131f","Kesirleri Kar\u015f\u0131la\u015ft\u0131rma ve S\u0131ralama NOT: Tam say\u0131l\u0131 kesirler, bile\u015fik kesre \u00e7evrilerek veya tam k\u0131s\u0131mlar\u0131na bakarak kar\u015f\u0131la\u015ft\u0131r\u0131l\u0131r. Tam k\u0131sm\u0131 b\u00fcy\u00fck olan kesir daha b\u00fcy\u00fckt\u00fcr. Tam k\u0131s\u0131mlar\u0131 ayn\u0131 ise kesir k\u0131sm\u0131 b\u00fcy\u00fck olan kesir daha b\u00fcy\u00fck olur. 24 1.\t A\u015fa\u011f\u0131daki bo\u015fluklara \u201c<, >, =\u201d sembollerinden bi- 3.\t A\u015fa\u011f\u0131daki kesirleri b\u00fcy\u00fckten k\u00fc\u00e7\u00fc\u011fe do\u011fru sem- rini yazarak kesirleri kar\u015f\u0131la\u015ft\u0131r\u0131n\u0131z. bolleri kullanarak s\u0131ralay\u0131n\u0131z. 52 49 a)\t 8 , 2 , 13 = ................................................... a)\t 7 .................. 7 \t b)\t 11 .................. 11 15 15 15 33 4 12 b)\t 4, 4, 4 = ........................................................ c)\t 8 ................. 21 \t \u00e7)\t 2 5 ............... 1 13 937 d)\t 5 1 . ............. 16 \t e)\t 1 5 .............. 1 11 c)\t 7, 1, 3 = ........................................................ 3 3 12 12 824 33 12 \u00e7)\t 1 , 5 , 12 = ..................................................... f)\t 15 ................ 2 \t g)\t 2 .................... 3 4 12 24 44 15 2 d)\t 5 , 3, 4 = .......................................................... \u011f)\t 3 7 ............. 2 5 \t h)\t 4 ................ 3 4 23 32 30 73 e)\t 2 1 , 1 11 , 3 1 = ................................................ 5 10 i)\t 9 .................... 5 7 14 2 \u0131)\t . ............ \t 42 5 5 10 k)\t 13 .............. 2 26 f)\t 2, 6, 3 = ....................................................... j)\t 1 18 ............. 9 \t 5 7 11 g)\t 9 3,9 3,9 3 = ................................................. 875 2, 5 7 \u011f)\t 5 , 17 , 7 = ...................................................... 36 12 6 24 8 2.\t ve kesirlerini s\u0131ralay\u0131n\u0131z. h)\t 1 2,1 5,1 3 = ................................................... 364 5. S\u0131n\u0131f 121","Kesirleri Kar\u015f\u0131la\u015ft\u0131rma ve S\u0131ralama 4.\t A\u015fa\u011f\u0131da verilen s\u0131ralamalarda \u201c\ufffd\u201d yerine yaz\u0131la- 73 bilecek do\u011fal say\u0131lar\u0131 bulunuz. 7.\t Bir bah\u00e7enin 15 \u2019sine domates, 5 \u2019\u00fcne biber ve a)\t 1 < _ < 3 (_ = ........................................ 2 6 24 8 3 \u2019sine salatal\u0131k dikilecektir. Buna g\u00f6re bu bah\u00e7eye en az ekilenden en \u00e7ok ekilene do\u011fru ekilen \u00fcr\u00fcnleri s\u0131ralay\u0131n\u0131z. b)\t 4 < _ < 2 (_ = ........................................ 9 18 3 c)\t 2 < _ < 3 (_ = ........................................ 5 30 6 \u00e7)\t 1 < _ < 1 (_ = ...................................... 12 60 5 8.\t A\u015fa\u011f\u0131da verilen kesirleri b\u00fcy\u00fckten k\u00fc\u00e7\u00fc\u011fe do\u011fru s\u0131ralay\u0131n\u0131z. d)\t 1 < 2 < 1 (_ = ...................................... a)\t 2 1 , 2 3 , 13 ( ..... > ..... > ..... 19 _ 17 2 44 e)\t 4 < _ < 2 (_ = ........................................ 7 21 3 30 1 4 ( ..... > ..... > ..... b)\t ,1 ,1 30 9 5 5.\t 97 , 2 9 , 1 13 ( ..... > ..... > ..... 100 10 25 9 1 3 c)\t 10 5 4 7 , 7 , 7 \u00e7)\t 10 , 21 , 43 ( ..... > ..... > ..... 11 22 44 Yukar\u0131daki tabelada verilen kesirlerden en k\u00fc\u00e7\u00fck ve en b\u00fcy\u00fck olan\u0131n\u0131 bulunuz. En k\u00fc\u00e7\u00fck:\t\t\t En b\u00fcy\u00fck: 6.\t \t\t 24 9.\t T kesri 2 ile 3 do\u011fal say\u0131lar\u0131 aras\u0131nda oldu\u011funa g\u00f6re \ufffd\u2019n\u0131n alabilece\u011fi de\u011ferler toplam\u0131n\u0131 bulu- nuz. A3 <2 24 oldu\u011funa g\u00f6re A yerine yaz\u0131labilecek do\u011fal say\u0131- lar\u0131 bulunuz. 122 5. S\u0131n\u0131f","Test Kesirleri Kar\u015f\u0131la\u015ft\u0131rma ve S\u0131ralama Uyguluyorum 27 1.\t A\u015fa\u011f\u0131daki kesirlerden en b\u00fcy\u00fc\u011f\u00fc hangisidir? 3 37 6.\t A\u015fa\u011f\u0131dakilerden hangisi 7 ile 42 kesirleri ara- 4 5 7 11 A) 9 \t B) 9 \tC) 9 \tD) 9 s\u0131nda de\u011fildir? 1 9 17 5 A) 3 \t B) 14 \tC) 21 \tD) 6 2.\t A\u015fa\u011f\u0131daki kesirlerden hangisi di\u011ferlerinden k\u00fc- \u00e7\u00fckt\u00fcr? 7.\t \t 5 7 13 1A2 A) 1 8 \t B) 1 8 \tC) 2 8 \tD) 2 8 << 6 18 3 s\u0131ralamas\u0131nda A yerine a\u015fa\u011f\u0131dakilerden hangisi yaz\u0131lamaz? A) 12\t B) 10\tC) 7\tD) 5 3.\t A\u015fa\u011f\u0131da verilen kar\u015f\u0131la\u015ft\u0131rmalardan hangisi yan- l\u0131\u015ft\u0131r? 2 11 13 A) 3 < 12 \t B) 4 > 12 11 1 4 8.\t \t 1, 5 , 1,4 C) 8 > 1\tD) 5 < 15 2 12 3 6 Yukar\u0131da verilen kesirler b\u00fcy\u00fckten k\u00fc\u00e7\u00fc\u011fe s\u0131ra- lan\u0131rsa ba\u015ftan 3. kesir a\u015fa\u011f\u0131dakilerden hangisi 4.\t A\u015fa\u011f\u0131daki kesirlerden en b\u00fcy\u00fc\u011f\u00fc hangisidir? olur? 2 23 8 7 1 52 4 A) 5 \t B) 45 \tC) 15 \tD) 9 A) 2 \t B) 12 \tC) 3 \tD) 6 9 9.\t Elif: 3 10 ..........4 5.\t \t\t 3 , 11 , 5 11 4 12 6 \t Melek: 2 3 ..........2 5 \t Onur: 3 2 ..........3 6 7 21 Yukar\u0131da verilen kesirlerin k\u00fc\u00e7\u00fckten b\u00fcy\u00fc\u011fe do\u011f- ru s\u0131ralanm\u0131\u015f hali a\u015fa\u011f\u0131dakilerden hangisidir? Elif, Melek ve Onur\u2019un yapt\u0131\u011f\u0131 kar\u015f\u0131la\u015ft\u0131rman\u0131n 3 11 5 5 3 11 do\u011fru olabilmesi i\u00e7in s\u0131ras\u0131yla hangi semboller A) 4 < 12 < 6 \t B) 6 < 4 < 12 kullan\u0131lmal\u0131d\u0131r? 3 5 11 11 5 3 A) >, =, <\t B) >, <, = C) 4 < 6 < 12 \tD) 12 < 6 < 4 C) <, >, =\tD) <, =, > 5. S\u0131n\u0131f 123","Uyguluyorum Kesirleri Kar\u015f\u0131la\u015ft\u0131rma ve S\u0131ralama Test 13.\t 27 10.\t \t\t 25 > Y 62 Yukar\u0131daki ifadede bo\u015f b\u0131rak\u0131lan yere yaz\u0131labile- cek en b\u00fcy\u00fck do\u011fal say\u0131 ka\u00e7t\u0131r? A) 3\t B) 4\tC) 5\tD) 6 A\u015fa\u011f\u0131daki kesirlerden hangisi yukar\u0131daki mode- lin ifade etti\u011fi kesirden k\u00fc\u00e7\u00fckt\u00fcr? 1 7 4 21 A) 1 3 \t B) 1 9 \tC) 1 6 \tD) 9 11.\t \t _>7 11 54 18 14.\t A\u015fa\u011f\u0131daki kesirlerden hangisi 12 ile 2 aras\u0131nda de\u011fildir? Yukar\u0131daki ifadede s\u0131ralamay\u0131 do\u011fru yapan \ufffd ye- 4 1 11 2 rine gelebilecek en k\u00fc\u00e7\u00fck do\u011fal say\u0131 ka\u00e7t\u0131r? A) 24 \t B) 3 \tC) 24 \tD) 3 A) 20\t B) 21\tC) 22\tD) 23 15.\t 3 4 K Yukar\u0131da verilen say\u0131 do\u011frusu \u00fczerinde g\u00f6steri- len K noktas\u0131na kar\u015f\u0131l\u0131k gelen de\u011fer a\u015fa\u011f\u0131dakiler- den hangisi olamaz? 12.\t Ak\u0131n ile karde\u015finin e\u015fit miktarda paralar\u0131 vard\u0131r. Ak\u0131n 37 26 19 41 27 A) 13 \t B) 7 \tC) 5 \tD) 11 paras\u0131n\u0131n 5 \u2019sini, karde\u015fi ise paras\u0131n\u0131n 15 \u2019sini har- 16.\t D\u00f6rt \u00f6\u011frenci ayn\u0131 dersten ayn\u0131 proje \u00f6devini alm\u0131\u015ft\u0131r. cam\u0131\u015ft\u0131r. 8 5 13 Buna g\u00f6re a\u015fa\u011f\u0131dakilerden hangisi do\u011frudur? Beril bu \u00f6devin 15 \u2019ini, Alp 6 \u2019ini, Ela 30 \u2019\u00fcn\u00fc, Eren 7 A)\tAk\u0131n karde\u015finden daha fazla para harcam\u0131\u015ft\u0131r. B)\tAk\u0131n\u2019\u0131n daha fazla paras\u0131 kalm\u0131\u015ft\u0131r. ise 10 \u2019sini bitirmi\u015ftir. C)\tKarde\u015finin kalan paras\u0131 Ak\u0131n\u2019\u0131n kalan paras\u0131ndan Buna g\u00f6re \u00f6devini tamamlamas\u0131na en az kalan \u00f6\u011frenci a\u015fa\u011f\u0131dakilerden hangisidir? daha fazlad\u0131r. D)\tE\u015fit miktarda paralar\u0131 kalm\u0131\u015ft\u0131r. A) Beril\t B) Alp\tC) Ela\tD) Eren 124 5. S\u0131n\u0131f","Test Kesirler Ba\u015far\u0131yorum 28 1.\t Daire \u015feklinde kesilmi\u015f 3 farkl\u0131 renkte \u00f6zde\u015f sar\u0131, mavi ve k\u0131rm\u0131z\u0131 karton \u015fekiller a\u015fa\u011f\u0131da g\u00f6sterilmi\u015ftir. Bu kartonlar s\u0131ras\u0131yla 4, 8 ve 12 e\u015f par\u00e7aya ayr\u0131lm\u0131\u015ft\u0131r. Daha sonra bu kartonlar\u0131n birer par\u00e7alar\u0131 bir kenarlar\u0131 \u00e7ak\u0131- \u015facak ve k\u00fc\u00e7\u00fck dilim \u00fcste gelecek \u015fekilde alt alta koyulmu\u015ftur. Buna g\u00f6re a\u015fa\u011f\u0131dakilerden hangisi elde edilen \u015feklin g\u00f6r\u00fcnt\u00fcs\u00fc olabilir? A) B) C) D) 2.\t Ay\u015fe Han\u0131m a\u015fa\u011f\u0131da g\u00f6sterilen ya\u015f pastay\u0131 2 e\u015f par\u00e7aya b\u00f6l\u00fcp bir yar\u0131s\u0131n\u0131 ak\u015fam gelecek olan misafirlerine ay\u0131r\u0131- yor. Di\u011fer yar\u0131s\u0131n\u0131 da e\u015fi Ahmet Bey ve \u00fc\u00e7 \u00e7ocu\u011funa e\u015fit olarak payla\u015ft\u0131r\u0131yor. Buna g\u00f6re Ahmet Bey bu pastan\u0131n ka\u00e7ta ka\u00e7\u0131n\u0131 yemi\u015f olur? 1 111 A) 2 \t B) 4 \tC) 6 \tD) 8 5. S\u0131n\u0131f 125","Ba\u015far\u0131yorum Kesirler Test 28 3.\t Bir manav \u00fc\u00e7 farkl\u0131 tart\u0131da ayn\u0131 anda m\u00fc\u015fterisinin ald\u0131\u011f\u0131 portakal, elma ve muzu tart\u0131yor. 1 kg 1 kg 1 kg 8 2 10 Buna g\u00f6re bu tart\u0131larda tart\u0131lmakta olan \u00fcr\u00fcnlerin a\u011f\u0131rl\u0131klar\u0131n\u0131n s\u0131ralamas\u0131 a\u015fa\u011f\u0131dakilerden hangisidir? A) Portakal < Muz < Elma\t \t \t \t \t B) Muz < Portakal < Elma C) Elma < Muz < Portakal\t\t\t\t\tD) Muz < Elma < Portakal 4.\t Bir A4 ka\u011f\u0131d\u0131na a\u015fa\u011f\u0131da verilen ad\u0131mlar s\u0131ras\u0131yla uygulanarak bir kesir modeli olu\u015fturuluyor. 1. ad\u0131m: A4 ka\u011f\u0131d\u0131n\u0131 ok y\u00f6n\u00fcnde tam ortas\u0131ndan katla 2. ad\u0131m: Ka\u011f\u0131d\u0131 a\u00e7madan ok y\u00f6n\u00fcnde tekrar tam ortas\u0131ndan katla 3. ad\u0131m: Ka\u011f\u0131d\u0131 a\u00e7madan ok y\u00f6n\u00fcnde tekrar tam ortas\u0131ndan katla Ba\u015flang\u0131\u00e7 1.Ad\u0131m 2.Ad\u0131m 3.Ad\u0131m Daha sonra katlan\u0131lan ka\u011f\u0131t a\u00e7\u0131l\u0131yor ve katlama \u00e7izgileri belirginle\u015ftirildikten sonra olu\u015fan e\u015f b\u00f6lmelerden biri boya- n\u0131yor. Boyanan bu b\u00f6lgeyi g\u00f6steren kesir say\u0131 do\u011frusunda K noktas\u0131 olarak i\u015faretlendi\u011fine g\u00f6re a\u015fa\u011f\u0131dakilerden hangisi K noktas\u0131na kar\u015f\u0131l\u0131k gelmektedir? A) 1 B) 1 0K 0K C) D) 1 0K 1 0K 126 5. S\u0131n\u0131f","Test Kesirler Ba\u015far\u0131yorum 28 5.\t Se\u00e7il evine yeni bir televizyon alacakt\u0131r. Televizyonu koyaca\u011f\u0131 yeri evinde bulunan 20 cm uzunlu\u011fundaki sar\u0131 cetvel ile \u00f6l\u00e7\u00fcyor ve alaca\u011f\u0131 televizyonun 8 sar\u0131 cetvel uzunlu\u011funda olmas\u0131 gerekti\u011fine karar veriyor. 20 cm 0 20 12 cm 12 0 Ma\u011fazaya giderken evdeki sar\u0131 cetvelini unuttu\u011funu fark eden Se\u00e7il, ma\u011fazada verilen 12 cm uzunlu\u011funda- ki ye\u015fil cetveli kullanarak televizyonun uzunlu\u011funu ye\u015fil cetvel adedi cinsinden ka\u00e7 olarak hesaplar? 1 111 A) 13 3 \t B) 13 4 \tC) 13 5 \tD) 12 3 6.\t \u00d6zde\u015f 38 tane dosya 95 cm geni\u015fli\u011findeki bir rafa dosyalar aras\u0131nda hi\u00e7 bo\u015fluk b\u0131rak\u0131lmadan 2 tanesi dik yanyana ve 4 tanesi yatay \u00fcst \u00fcste olacak \u015fekilde diziliyor. 95 cm Buna g\u00f6re her bir dosyan\u0131n kal\u0131nl\u0131\u011f\u0131 ka\u00e7 santimetredir? A) 3\t 55 B) 2 \tC) 2\tD) 4 5. S\u0131n\u0131f 127","Ba\u015far\u0131yorum Kesirler Test 29 1.\t Hakan birim kesirler konusunu peki\u015ftirmek i\u00e7in a\u015fa\u011f\u0131daki gibi bir oyun tasarlam\u0131\u015ft\u0131r. Oyunun kural\u0131 a\u015fa\u011f\u0131da verilmi\u015ftir. 11Ba\u015flang\u0131\u00e7111 3 99 Biti\u015f87 51 11 1 11 24 9 2 11 41 11 1 11 10 999 4 14 31 Kural: Oyun mat\u0131 \u00fczerinde kar\u015f\u0131la\u015f\u0131lan her s\u00fctundaki en b\u00fcy\u00fck birim kesir \u00fczerine bas\u0131larak oyun tamamlanacakt\u0131r. Hakan bu oyunu bitirdikten sonra bast\u0131\u011f\u0131 kareler ye\u015fil renk ile g\u00f6sterilmek \u00fczere oyun mat\u0131n\u0131n g\u00f6r\u00fcn\u00fcm\u00fc a\u015fa\u011f\u0131dakilerden hangisi gibi olur? A) B) C) D) 2.\t A\u015fa\u011f\u0131da \u00f6zde\u015f iki tepsi baklavadan biri 24, di\u011feri 30 e\u015f dilime ayr\u0131lm\u0131\u015ft\u0131r. 1. Tepsi 2. Tepsi 1. tepsideki baklavalardan Emre 4 dilim, 2. tepsideki baklavalardan ise Furkan 2 dilim yemi\u015ftir. Emre\u2019nin yedi\u011fi baklavay\u0131 ifade eden kesir ile Furkan\u2019\u0131n yedi\u011fi baklavay\u0131 ifade eden kesrin denk olabilmesi i\u00e7in Furkan 2. tepsiden ka\u00e7 dilim daha yemelidir? A) 1\t B) 2\tC) 3\tD) 4 128 5. S\u0131n\u0131f","Test Kesirler Ba\u015far\u0131yorum 29 3.\t A\u015fa\u011f\u0131da 3 \u00f6zde\u015f kasaya yerle\u015ftirilmi\u015f olan \u015feftalilerin doluluk oranlar\u0131 g\u00f6sterilmi\u015ftir. \u015eekil I \u015eekil II \u015eekil III Buna g\u00f6re kasalardaki \u015feftalilerin doluluk oranlar\u0131 hangi se\u00e7enekte do\u011fru verilmi\u015ftir? \u015eekil I \u015eekil II \u015eekil III 1 1 1 2 3 A) 6 3 1 2 3 3 B) 9 1 3 2 5 3 C) 4 2 1 1 2 4 D) 3 4.\t \u015eekilde g\u00f6sterilen t\u00fcnelin y\u00fcksekli\u011fi 4 m\u2019dir. 4m 4m Buna g\u00f6re a\u015fa\u011f\u0131da y\u00fckseklikleri verilen kamyonlardan hangisi bu t\u00fcnele giri\u015f yapamaz? A) B) C) D) 35 31 8 32 65 9 7 19 5. S\u0131n\u0131f 129","Ba\u015far\u0131yorum Kesirler Test 29 5.\t A\u015fa\u011f\u0131da e\u015fit b\u00fcy\u00fckl\u00fckte \u00fc\u00e7 e\u015f dereceli \u00f6l\u00e7\u00fc kab\u0131 verilmi\u015ftir. III I II 17 dL 20 1 dL 4 1 17 I. kaptaki s\u0131v\u0131 miktar\u0131 4 dL ve III. kaptaki s\u0131v\u0131 miktar\u0131 ise 20 dL olarak \u00f6l\u00e7\u00fcld\u00fc\u011f\u00fcne g\u00f6re II. kaptaki s\u0131v\u0131 mik- tar\u0131n\u0131n ka\u00e7 dL olabilece\u011fini g\u00f6steren kesir a\u015fa\u011f\u0131dakilerden hangisidir? 13 29 51 53 A) 60 \t B) 60 \tC) 60 \tD) 60 6.\t A\u015fa\u011f\u0131daki tabloda 3 farkl\u0131 cismin a\u011f\u0131rl\u0131klar\u0131n\u0131n kilogram cinsinden de\u011feri verilmi\u015ftir. ABC 257 3 6 12 Buna g\u00f6re bu A, B ve C cisimleri birbirine e\u015f ve ayn\u0131 y\u00fckseklikte bulunan \u00fc\u00e7 yaya as\u0131ld\u0131\u011f\u0131nda a\u015fa\u011f\u0131dakiler- den hangisi g\u00f6r\u00fcl\u00fcr? A) B) C B A A B C C) D) A B C C B A 130 5. S\u0131n\u0131f","Bir \u00c7oklu\u011fun \u0130stenilen Kesir Kadar\u0131n\u0131 Bulma \u2022\t Bir \u00e7oklu\u011fun istenen kesir kadar\u0131 bulunurken \u00f6nce \u00e7okluk paydaya b\u00f6l\u00fcn\u00fcp birim kesir kadar\u0131 bulunur, elde edilen say\u0131 pay ile \u00e7arp\u0131l\u0131r. \t \ufffd B\u00fct\u00fcn\u00fcn par\u00e7as\u0131n\u0131 bulurken modelleme yapmak problemin \u00e7\u00f6z\u00fcm\u00fcn\u00fc kolayla\u015ft\u0131r\u0131r. \u00d6rnek: 3 24 say\u0131s\u0131n\u0131n 4 \u2019\u00fc ka\u00e7t\u0131r? 6666 24 \u00f7 4 = 6 \u2020 Birim kesir kadar\u0131 6 x 3 = 18 \u00d6rnek: 2 60 kg domatesin 5 \u2019si sat\u0131lm\u0131\u015ft\u0131r. Sat\u0131lan domatesi ve kalan domatesi modelleme yard\u0131m\u0131yla bulal\u0131m. 60 : 5 = 12 kg \u2020 Birim kesir kadar\u0131 12 12 12 x 2 = 24 kg \u2020 Sat\u0131lan domates 60 \u2013 24 = 36 kg \u2020 Kalan domates 25 2.\t A\u015fa\u011f\u0131da verilen sol s\u00fctundaki sorular\u0131n cevapla- r\u0131n\u0131 sa\u011f s\u00fctundaki cevaplarla e\u015fle\u015ftiriniz. 1.\t A\u015fa\u011f\u0131da verilen say\u0131lar\u0131n kesir kadar\u0131n\u0131 bulunuz. 3 5 105 48\u2019in 6 \u2019i ka\u00e7t\u0131r? a a)\t 14\u2019\u00fcn 7 \u2019\u00fc = ...................................................... 1 1 b)\t 100\u2019\u00fcn 20 \u2019si = ................................................. 5 4 40 c)\t 54\u2019\u00fcn 6 \u2019i = ...................................................... 72\u2019nin 9 \u2019\u00fc ka\u00e7t\u0131r? b 2 7 7 39 \u00e7)\t 80\u2019in 10 \u2019si = .................................................... 120\u2019nin 8 \u2019si ka\u00e7t\u0131r? c 2 3 32 d)\t 120\u2019nin 3 \u2019si = .................................................. d 3 4 52\u2019nin 4 \u2019\u00fc ka\u00e7t\u0131r? 131 e)\t 55\u2019in 5 \u2019\u00fc = ...................................................... 4 5. S\u0131n\u0131f","Bir \u00c7oklu\u011fun \u0130stenilen Kesir Kadar\u0131n\u0131 Bulma 1 3 3.\t Arma\u011fan 1200 TL paras\u0131n\u0131n 4 \u2019ini harcam\u0131\u015ft\u0131r. 7.\t Sude, 700 sorunun 7 \u2019\u00fcn\u00fc cumartesi g\u00fcn\u00fc, geriye Buna g\u00f6re Arma\u011fan\u2019\u0131n geriye kalan paras\u0131 ka\u00e7 2 TL\u2019dir? kalan sorular\u0131n 5 \u2019sini de pazar g\u00fcn\u00fc \u00e7\u00f6zm\u00fc\u015ft\u00fcr. Buna g\u00f6re Sude toplam ka\u00e7 soru \u00e7\u00f6zm\u00fc\u015ft\u00fcr? 3 8.\t Bir yolun asfaltlanma \u00e7al\u0131\u015fmalar\u0131nda 420 metre yo- 4.\t 30 ki\u015filik bir s\u0131n\u0131f\u0131n 5 \u2019\u00fc erkektir. lun 3 g\u00fcnde yap\u0131lmas\u0131 planlanm\u0131\u015ft\u0131r. 23 Buna g\u00f6re bu s\u0131n\u0131fta ka\u00e7 erkek \u00f6\u011frenci oldu\u011funu Bu yolun birinci g\u00fcn 7 \u2019si, ikinci g\u00fcn 10 \u2019\u00fc asfalt- bulunuz. land\u0131\u011f\u0131na g\u00f6re, \u00fc\u00e7\u00fcnc\u00fc g\u00fcn ka\u00e7 metre yol asfalt- lanmal\u0131d\u0131r? 5.\t Bir \u00e7iftlikte g\u00fcnl\u00fck 240 lt s\u00fct \u00fcretilmektedir. 9.\t \t 5 Bu s\u00fct\u00fcn 8 \u2019i her g\u00fcn sat\u0131ld\u0131\u011f\u0131na g\u00f6re bu \u00e7iftlikte her g\u00fcn sat\u0131lan s\u00fct miktar\u0131 ka\u00e7 lt\u2019dir? 24 Suna\u2019n\u0131n kitapl\u0131\u011f\u0131nda 4 raf her rafta 18 kitap bulun- 6.\t 180 d\u00f6n\u00fcml\u00fck bir tarlan\u0131n 9 \u2019sine patates, 6 \u2019\u00fcne maktad\u0131r. so\u011fan ekilmi\u015ftir. 5 Buna g\u00f6re ekili olmayan k\u0131s\u0131m ka\u00e7 d\u00f6n\u00fcmd\u00fcr? Kitapl\u0131\u011f\u0131ndaki kitaplar\u0131n 6 \u2019i roman oldu\u011funa g\u00f6re Suna\u2019n\u0131n ka\u00e7 tane roman\u0131 vard\u0131r? 132 5. S\u0131n\u0131f","Basit Kesir Kadar\u0131 Verilen B\u00fct\u00fcn\u00fcn Tamam\u0131n\u0131 Bulma \u2022\t Basit kesir kadar\u0131 verilen \u00e7oklu\u011fun tamam\u0131n\u0131 bulmak i\u00e7in; \u00f6nce verilen say\u0131y\u0131 kesrin pay\u0131na b\u00f6ler, elde edilen say\u0131y\u0131 kesrin paydas\u0131 ile \u00e7arpar\u0131z. \u00d6rnek: 3 4 \u2019\u00fc 24 olan say\u0131 ka\u00e7t\u0131r? 8888 24 \u00f7 3 = 8 \u2020 Birim kesir kadar\u0131 \ufffd Par\u00e7adan b\u00fct\u00fcne ula\u015fmam\u0131z 24 8 x 4 = 32 gereken sorularda, modellerden yararlanmak \u00e7\u00f6z\u00fcm\u00fc kolayla\u015ft\u0131r\u0131r. \u00d6rnek: 2 kitap vard\u0131r? Ahmet\u2019in kitapl\u0131\u011f\u0131n\u0131n 5 \u2019sinde 32 kitap oldu\u011funa g\u00f6re, Ahmet\u2019in kitapl\u0131\u011f\u0131n\u0131n tamam\u0131nda ka\u00e7 tane 16 16 32 \u00f7 2 = 16 \u2020 Birim kesir kadar\u0131 16 x 5 = 80 \u2020 Kitapl\u0131\u011f\u0131ndaki kitaplar\u0131n tamam\u0131 16 16 16 32 26 1.\t A\u015fa\u011f\u0131da basit kesir kadar\u0131 verilen say\u0131lar\u0131n tamam\u0131n\u0131 bulunuz. 1 5 a)\t 5 \u2019i 8 olan say\u0131 ka\u00e7t\u0131r? d)\t 11 \u2019i 25 olan say\u0131 ka\u00e7t\u0131r? 4 6 b)\t 7 \u2019\u00fc 20 olan say\u0131 ka\u00e7t\u0131r? e)\t 13 \u2019si 42 olan say\u0131 ka\u00e7t\u0131r? 8 3 c)\t 10 \u2019i 40 olan say\u0131 ka\u00e7t\u0131r? f)\t 7 \u2019\u00fc 12 olan say\u0131 ka\u00e7t\u0131r? 2 13 \u00e7)\t 9 \u2019si 18 olan say\u0131 ka\u00e7t\u0131r? g)\t 24 \u2019\u00fc 26 olan say\u0131 ka\u00e7t\u0131r? 5. S\u0131n\u0131f 133","Basit Kesir Kadar\u0131 Verilen B\u00fct\u00fcn\u00fcn Tamam\u0131n\u0131 Bulma 2.\t Sol s\u00fctundaki sorular\u0131n cevaplar\u0131n\u0131 sa\u011f s\u00fctundan 5 bularak e\u015fle\u015ftiriniz. 4.\t Ceren bir \u015fi\u015fedeki suyun 6 \u2019ini i\u00e7mi\u015ftir. 2 Ceren\u2019in i\u00e7ti\u011fi su miktar\u0131 300 mL oldu\u011funa g\u00f6re 3 \u2019si 12 olan say\u0131 ka\u00e7t\u0131r? ba\u015flang\u0131\u00e7ta \u015fi\u015fede ka\u00e7 mL su vard\u0131r? 1 16 a 5.\t \t 7 40 2 \u2018si pe\u015fin 8 \u2019si 14 olan say\u0131 ka\u00e7t\u0131r? b 9 8 taksit kalan\u0131 2 9 18 Serdar etiketi g\u00f6sterilen buzdolab\u0131n\u0131, 1600 TL pe\u015fin 10 \u2019u 36 olan say\u0131 ka\u00e7t\u0131r? c kalan\u0131 8 taksit olacak \u015fekilde sat\u0131n alm\u0131\u015ft\u0131r. 3 50 Serdar bu buzdolab\u0131 i\u00e7in ka\u00e7 TL taksit \u00f6deyecek- d tir? 4 5 \u2019\u00fc 40 olan say\u0131 ka\u00e7t\u0131r? 4 3.\t A\u015fa\u011f\u0131daki problemleri \u00e7\u00f6z\u00fcn\u00fcz. 6.\t 11 HAYVAN a)\t Hangi say\u0131n\u0131n 12 \u2019i 33\u2019t\u00fcr? BARINA\u011eI 3 5 b)\t Hangi say\u0131n\u0131n 7 \u2019\u00fc 39\u2019dur? Baran kumbaras\u0131nda biriktirdi\u011fi paras\u0131n\u0131n 7 \u2019i ile so- 2 kak hayvanlar\u0131 i\u00e7in mama alm\u0131\u015ft\u0131r. Baran ald\u0131\u011f\u0131 mamalar i\u00e7in 450 TL \u00f6dedi\u011fine g\u00f6re c)\t Hangi say\u0131n\u0131n 5 \u2019sinin yar\u0131s\u0131 5\u2019dir? Baran\u2019\u0131n kumbaras\u0131nda biriktirdi\u011fi para ne kadar- 1 d\u0131r? \u00e7)\t 10 fazlas\u0131n\u0131n 3 \u2019i 12 olan say\u0131 ka\u00e7t\u0131r? 3 d)\t 4 \u2019\u00fcn\u00fcn 4 fazlas\u0131 28 olan say\u0131 ka\u00e7t\u0131r? 2 e)\t Yar\u0131s\u0131n\u0131n 5 \u2019si 6 olan say\u0131 ka\u00e7t\u0131r? 134 5. S\u0131n\u0131f","Basit Kesir Kadar\u0131 Verilen B\u00fct\u00fcn\u00fcn Tamam\u0131n\u0131 Bulma 7.\t \t 4 10.\t Oya\u2019n\u0131n ya\u015f\u0131 ablas\u0131n\u0131n ya\u015f\u0131n\u0131n 5 \u2019\u00fc kadard\u0131r. Oya 16 ya\u015f\u0131nda oldu\u011funa g\u00f6re ablas\u0131 Oya\u2019dan ka\u00e7 ya\u015f b\u00fcy\u00fckt\u00fcr? 3 11.\t Zeytinya\u011f\u0131 \u00fcretimi i\u015fi yapan Zeytin Bir okuldaki \u00f6\u011frencilerin 29 \u2019\u00fc basketbol tak\u0131m\u0131nda- Ya\u011f\u0131 d\u0131r. Erdal Bey, \u00fcretti\u011fi zeytinya- Basketbol tak\u0131m\u0131 12 ki\u015fiden olu\u015ftu\u011funa g\u00f6re bu 8 okuldaki toplam \u00f6\u011frenci say\u0131s\u0131 ka\u00e7t\u0131r? \u011f\u0131n\u0131n 15 \u2019ini sat\u0131\u015f yapmak 3 i\u00e7in \u015fi\u015felere koyuyor. 8.\t Bir yolcu otob\u00fcs\u00fc gidece\u011fi yolun 11 \u2019\u00fcn\u00fc gittikten 2 litrelik 24 \u015fi\u015fe zeytinya\u011f\u0131 sonra mola veriyor. elde etti\u011fine g\u00f6re, \u00fcretti\u011fi Mola verene kadar 90 km yol gitti\u011fine g\u00f6re yolun zeytinya\u011f\u0131n\u0131n tamam\u0131 ka\u00e7 tamam\u0131 ka\u00e7 km\u2019dir? litredir? 7 2 9.\t Bir su deposunun 12 \u2019si bo\u015ftur. Bo\u015f olan bu k\u0131sm\u0131 12.\t \u015e\u00fckr\u00fc, d\u00fckkan\u0131nda bulunan un \u00e7uvallar\u0131n\u0131n 3 \u2019sini doldurmak i\u00e7in 70 litre su konuldu\u011funda depo tama- tanesini 200 TL\u2019den satarak 2400 TL kazan\u00e7 elde men doluyor. etmi\u015ftir. Buna g\u00f6re bu depoda ba\u015flang\u0131\u00e7ta ka\u00e7 litre su Buna g\u00f6re \u015e\u00fckr\u00fc\u2019n\u00fcn d\u00fckkan\u0131nda ba\u015flang\u0131\u00e7ta vard\u0131r? ka\u00e7 un \u00e7uval\u0131 vard\u0131r? 5. S\u0131n\u0131f 135","Uyguluyorum B\u00fct\u00fcnden Par\u00e7aya, Par\u00e7adan B\u00fct\u00fcne Test Kesir Problemleri 30 5 5.\t Babas\u0131 her hafta Aycan\u2019a ablas\u0131na verdi\u011fi har\u00e7l\u0131\u011f\u0131n 1.\t 180 say\u0131s\u0131n\u0131n 6 \u2019i ka\u00e7t\u0131r? 3 4 \u2019\u00fc kadar har\u00e7l\u0131k vermektedir. A) 30\t B) 60\tC) 90\tD) 150 Aycan\u2019\u0131n haftal\u0131k har\u00e7l\u0131\u011f\u0131 90 TL oldu\u011funa g\u00f6re ablas\u0131n\u0131n har\u00e7l\u0131\u011f\u0131 ka\u00e7 TL\u2019dir? A) 120\t B) 130\tC) 140\tD) 150 2 65 2.\t Hangi say\u0131n\u0131n 3 \u2019si 54 eder? 6.\t 7 \u2019s\u0131 84 olan say\u0131n\u0131n 14 \u2019i ka\u00e7t\u0131r? A) 20\t B) 25\tC) 30\tD) 35 A) 81\t B) 72\tC) 48\tD) 36 7.\t \t\t 4 3 3.\t Egemen 280 TL paras\u0131n\u0131n 7 \u2019\u00fc ile bir g\u00f6mlek alm\u0131\u015f- Bir su barda\u011f\u0131n\u0131n 8 \u2019\u00fc bo\u015ftur. Bu barda\u011fa 120 mL daha su konuldu\u011funda bar- t\u0131r. dak doldu\u011funa g\u00f6re bardakta ba\u015flang\u0131\u00e7ta ka\u00e7 mL Buna g\u00f6re Egemen\u2019in ald\u0131\u011f\u0131 g\u00f6mlek ka\u00e7 TL\u2019dir? su vard\u0131r? A) 120\t B) 140\tC) 160\tD) 180 A) 320\t B) 280\tC) 240\tD) 200 3 4 4.\t Derya 90 sayfal\u0131k bir kitab\u0131n 5 \u2019\u00fcn\u00fc okumu\u015ftur. 8.\t Bir depodaki 72 litre suyun 9 \u2019\u00fc kullan\u0131lm\u0131\u015ft\u0131r. Buna g\u00f6re geriye okumad\u0131\u011f\u0131 ka\u00e7 sayfa kalm\u0131\u015ft\u0131r? Buna g\u00f6re depoda kalan su ka\u00e7 litredir? A) 32\t B) 36\tC) 40\tD) 44 A) 32\t B) 36\tC) 40\tD) 48 136 5. S\u0131n\u0131f","Test B\u00fct\u00fcnden Par\u00e7aya, Par\u00e7adan B\u00fct\u00fcne Uyguluyorum 30 Kesir Problemleri 51 12.\t 9.\t Bir tabaktaki 32 tane \u00e7ikolatan\u0131n 8 \u2019ini Cemile, 4 \u2019ini Efe ve geriye kalan\u0131 da \u0130brahim alm\u0131\u015ft\u0131r. Buna g\u00f6re \u0130brahim ka\u00e7 tane \u00e7ikolata alm\u0131\u015ft\u0131r? A) 2\t B) 4\tC) 6\tD) 8 7 Bir arac\u0131n yak\u0131t deposunun 12 \u2019si bo\u015ftur. Depoya 5 litre yak\u0131t konuldu\u011funda deponun yar\u0131- s\u0131 doldu\u011funa g\u00f6re deponun tamam\u0131 ka\u00e7 litre yak\u0131t al\u0131r? A) 50\t B) 60\tC) 70\tD) 80 4 10.\t Yeni yap\u0131lan Mimoza apartman\u0131ndaki dairelerin 11 \u2019\u00fc sat\u0131\u015fa \u00e7\u0131kar\u0131lan ilk ay i\u00e7erisinde sat\u0131lm\u0131\u015ft\u0131r. \u0130lk ay sat\u0131lan daire say\u0131s\u0131 16 ise bu apartmanda 2 sat\u0131lmayan ka\u00e7 daire kalm\u0131\u015ft\u0131r? 13.\t \u2022\t Hakan\u2019\u0131n k\u00fctlesi babas\u0131n\u0131n k\u00fctlesinin 3 \u2019sine A) 28\t B) 32\tC) 36\tD) 44 e\u015fittir. 3 \t \u2022\t Karde\u015finin k\u00fctlesi de Hakan\u2019\u0131n k\u00fctlesinin 4 \u2019\u00fcne e\u015fittir. Hakan\u2019\u0131n k\u00fctlesi 64 kg oldu\u011funa g\u00f6re babas\u0131 ile karde\u015finin k\u00fctleleri toplam\u0131 ka\u00e7t\u0131r? A) 48\t B) 96\tC) 112\tD) 144 3 14.\t Bir ma\u011faza anneler g\u00fcn\u00fcne \u00f6zel al\u0131\u015fveri\u015f tutar\u0131n\u0131n 11.\t Arda, bir kitab\u0131n 10 \u2019\u00fcn\u00fc okumu\u015ftur. Arda bu kitap- 1 10 \u2019i kadar indirim yapmaktad\u0131r. tan 20 sayfa daha okuyunca kitab\u0131n 230 sayfas\u0131n\u0131 okumu\u015f oluyor. Buna g\u00f6re bu ma\u011fazadan 650 TL\u2019lik al\u0131\u015fveri\u015f ya- pan Esra Han\u0131m ka\u00e7 TL \u00f6der? Buna g\u00f6re Arda ka\u00e7 sayfa daha okursa kitab\u0131n\u0131 bitirmi\u015f olur? A) 565\t B) 575\tC) 585\tD) 595 A) 450\t B) 460\tC) 470\tD) 480 5. S\u0131n\u0131f 137","Uyguluyorum B\u00fct\u00fcnden Par\u00e7aya, Par\u00e7adan B\u00fct\u00fcne Test Kesir Problemleri 31 8 5.\t \t\t 1.\t 13 \u2019i 56 metre olan kuma\u015f\u0131n tamam\u0131 ka\u00e7 metre- 60 TL dir? A) 52\t B) 65\tC) 78\tD) 91 13 5 2.\t 240\u2019\u0131n 6 \u2019i A say\u0131s\u0131na, B say\u0131s\u0131n\u0131n 7 \u2019\u00fc 30 say\u0131s\u0131na Kerem Bey cebindeki paras\u0131n\u0131n 11 \u2019i ile fiyat\u0131 60 TL olan kazaklardan 2 tane alm\u0131\u015ft\u0131r. e\u015fittir. Buna g\u00f6re Kerem Bey\u2019in ba\u015flang\u0131\u00e7ta ka\u00e7 TL\u2019si vard\u0131r? A) 132\t B) 264\tC) 280\tD) 284 Buna g\u00f6re A + B toplam\u0131 ka\u00e7t\u0131r? A) 90\t B) 100\tC) 110\tD) 120 5 1 3.\t Bir manav, 140 kg portakal\u0131n 7 \u2019ini satm\u0131\u015ft\u0131r. Geriye 6.\t Aylin her ay 4200 TL maa\u015f\u0131n\u0131n 14 \u2019ini birikim yap- 1 mak i\u00e7in ay\u0131rmaktad\u0131r. kalan portakallar\u0131n 4 \u2019ini de evine g\u00f6t\u00fcrm\u00fc\u015ft\u00fcr. Buna g\u00f6re manav\u0131n elinde ka\u00e7 kg portakal kal- Buna g\u00f6re Aylin bir y\u0131l\u0131n sonunda ka\u00e7 TL birikim m\u0131\u015ft\u0131r? yapm\u0131\u015f olur? A) 300\t B) 900\tC) 1800\tD) 3600 A) 10\t B) 20\tC) 30\tD) 40 5 4 4.\t Bir otob\u00fcsteki 48 yolcunun 12 \u2019i kad\u0131nd\u0131r. 7.\t Bir s\u00fct tank\u0131n\u0131n 17 \u2019\u00fc bo\u015ftur. Buna g\u00f6re bu otob\u00fcsteki erkek yolcular kad\u0131n Bu s\u00fct tank\u0131na 210 litre daha s\u00fct ilave edilince s\u00fc- yolculardan ka\u00e7 fazlad\u0131r? t\u00fcn 10 litresi ta\u015ft\u0131\u011f\u0131na g\u00f6re s\u00fct tank\u0131n\u0131n tamam\u0131 ka\u00e7 litre s\u00fct al\u0131r? A) 8\t B) 6\tC) 4\tD) 2 A) 850\t B) 750\tC) 650\tD) 450 138 5. S\u0131n\u0131f","Test B\u00fct\u00fcnden Par\u00e7aya, Par\u00e7adan B\u00fct\u00fcne Uyguluyorum 31 Kesir Problemleri 5 1 8.\t Ay\u00e7a, bir tatil g\u00fcn\u00fcn\u00fcn 12 \u2019ini uyuyarak geriye kalan 11.\t Bir koli yumurtan\u0131n 6 \u2019i k\u0131r\u0131lm\u0131\u015ft\u0131r. 2 Sat\u0131c\u0131 kalan yumurtalar\u0131n tanesini 2 liradan satt\u0131- zaman\u0131n\u0131n 7 \u2019sini ders \u00e7al\u0131\u015farak ve bunlar\u0131n d\u0131\u015f\u0131nda \u011f\u0131nda ne kadar gelir elde eder? (1 koli 30 yumurta) kalan zaman\u0131n\u0131 da ailesine ay\u0131rarak ge\u00e7irmektedir. Buna g\u00f6re Ay\u00e7a, bir g\u00fcnde ailesiyle ka\u00e7 saat va- A) 50\t B) 48\tC) 46\tD) 44 kit ge\u00e7irebilmektedir? A) 12\t B) 10\tC) 8\tD) 6 12.\t Her kat\u0131nda 4 daire bulunan 6 katl\u0131 bir binadaki dai- 2 relerin 3 \u2019sinin perdeleri kapal\u0131d\u0131r. Perdesi kapal\u0131 olan dairelerin yar\u0131s\u0131n\u0131n da per- deleri a\u00e7\u0131l\u0131nca son durumda binada ka\u00e7 dairenin perdesi a\u00e7\u0131kt\u0131r? A) 8\t B) 12\tC) 14\tD) 16 4 9.\t Asya 169 TL paras\u0131n\u0131n 13 \u2019\u00fc ile bir ti\u015f\u00f6rt al\u0131yor. Kalan 1 paras\u0131n\u0131n 3 \u2019i ile de tanesi 3 lira olan \u00e7oraplardan alm\u0131\u015ft\u0131r. Buna g\u00f6re Asya ka\u00e7 \u00e7orap alm\u0131\u015ft\u0131r? A) 7\t B) 9\tC) 11\tD) 13 13.\t A\u015fa\u011f\u0131daki tabloda bir s\u0131n\u0131ftaki \u00f6\u011frencilerle ilgili bilgi- ler verilmi\u015ftir. Sar\u0131\u015f\u0131n Esmer Erkek 3 K\u0131z 9 7 3 10.\t Fatih 180 d\u00f6n\u00fcm tarlas\u0131n\u0131n 9 \u2019sine patates ekmi\u015ftir. S\u0131n\u0131ftaki k\u0131z \u00f6\u011frencilerin 5 \u2019\u00fc esmerdir. 4 1 Ali ise tarlas\u0131n\u0131n 5 \u2019\u00fcne patates ekmi\u015ftir. Esmer erkek \u00f6\u011frencilerin 2 \u2019i kadar sar\u0131\u015f\u0131n erkek \u00f6\u011frenci oldu\u011funa g\u00f6re bu s\u0131n\u0131f\u0131n mevcudu ka\u00e7- \u0130kisi de e\u015fit miktarda patates ektiklerine g\u00f6re t\u0131r? Ali\u2019nin tarlas\u0131 ka\u00e7 d\u00f6n\u00fcmd\u00fcr? A) 125\t B) 150\tC) 175\tD) 200 A) 16\t B) 20\tC) 24\tD) 30 5. S\u0131n\u0131f 139","Kesirlerle Toplama ve \u00c7\u0131karma \u0130\u015flemi \u2022\t Kesirlerle toplama ve \u00e7\u0131karma i\u015flemi yapabilmek i\u00e7in kesirlerin paydalar\u0131n\u0131n e\u015fit olmas\u0131 gerekir. \u2022\t Paydalar e\u015fit ise ortak payda yaz\u0131l\u0131r, toplama i\u015flemi yap\u0131lacaksa paylar toplan\u0131p paya yaz\u0131l\u0131r, \u00e7\u0131karma i\u015flemi yap\u0131- lacaksa paylar \u00e7\u0131kar\u0131l\u0131p paya yaz\u0131l\u0131r. \u00d6rnek: 6 + 4 = 10 4-1 =3 11 11 11 77 7 \u2022\t Paydalar e\u015fit de\u011filse geni\u015fletme veya sadele\u015ftirme yap\u0131larak paydalar e\u015fitlenir. Daha sonra paylar toplan\u0131r veya \u00e7\u0131kar\u0131l\u0131r. \u00d6rnek: \u00d6rnek: 1+1 i\u015flemini modelleme yard\u0131m\u0131yla yapal\u0131m. 1-1 i\u015flemini modelleme yard\u0131m\u0131yla yapal\u0131m. 26 36 + - 1x3 = 3 1 1x2 = 2 1 2x3 6 6 2x2 6 6 3+ 1 =4 2-1=1 666 666 \u2022\t Bir do\u011fal say\u0131 ile bir kesir toplan\u0131r veya \u00e7\u0131kar\u0131l\u0131rken do\u011fal say\u0131n\u0131n paydas\u0131na 1 yaz\u0131l\u0131p paydalar e\u015fitlenerek i\u015fleme devam edilir. \u00d6rnek: 2+ 1 = 2 + 1 = 6 + 1 = 7 4- 1 = 4 - 1 = 8 - 1 = 7 3 1 3 33 3 2 1 2 22 2 ^3h ^2h \ufffd Bir do\u011fal say\u0131 ile basit kesir toplan\u0131rken do\u011fal say\u0131 basit kesirin \u00f6n\u00fcne yaz\u0131larak da sonuca ula\u015f\u0131labilir. \u2022\t Tam say\u0131l\u0131 kesirlerle i\u015flem yaparken kesir k\u0131s\u0131mlar\u0131 kendi aralar\u0131nda tam k\u0131s\u0131mlar\u0131 kendi aralar\u0131nda toplan\u0131r. \ufffd Tam k\u0131s\u0131mlar bile\u015fik kesre \u00e7evrilerek de toplama - \u00e7\u0131karma i\u015flemi yap\u0131labilir. \u00d6rnek: \u00d6rnek: 11 11 2 +1 i\u015fleminin sonucunu bulal\u0131m. 3 -1 i\u015fleminin sonucunu bulal\u0131m. 42 3 6 1 1x2 11 1x2 1 11 1. Yol: 2 4 + 1 2 x 2 \t 2. Yol: 2 4 + 1 2 1. Yol: 3 3 x 2 - 1 6 \t 2. Yol: 3 3 - 1 6 \t 2 1 + 1 2 = 3 3 \t\t 9 3 9 6 15 \t 2 -1 1 =2 1 \t\t 10 7 20 7 13 44 4 + =+= 3 -= -= 66 6 4 2 44 4 36 66 6 ^2h ^2h 140 5. S\u0131n\u0131f","Kesirlerle Toplama ve \u00c7\u0131karma \u0130\u015flemi 27 2.\t A\u015fa\u011f\u0131da verilen i\u015flemleri yap\u0131n\u0131z. a) 1+ 2 =\t b) 1- 2 = 3 3 1.\t A\u015fa\u011f\u0131da verilen i\u015flemleri yap\u0131n\u0131z. 45 13 4 a) + = \t\t b) - = 10 10 17 17 4 1 c) 2 + 5 =\t \u00e7) 3 - 6 = 12 62 = c) 6 +1 = \t\t \u00e7) 5 -3 5 5 9 9 3 1 d) 4 + 7 =\t e) 4 - 2 = d) 23 +4 2 = \t\t e) 4 7 -4 5 = 8 8 11 11 f) 3 +1 =\t g) 13 - 4 = 11 2 61 = \t\t 13 f) - g) - = 15 5 4 20 13 = \t\t 35 = 3.\t A\u015fa\u011f\u0131da verilen i\u015flemleri yap\u0131n\u0131z. \u011f) + h) - 11 2 16 4 12 a) 4 5 + 3 10 = 1 7 7-2 b) 78 -2 1 = 3 12 93 9 3 \u0131) + = \t\t i) = 32 c) 2 4 + 1 3 = 31 11 = j) 4 + 2 =\t\t k) - 2 6 11 \u00e7) 1 2 - 8 81 43 6 +1 2 l) 27 + 3 =\t\t m) - = 27 9 5 10 d) 5. S\u0131n\u0131f 141","Kesirlerle Toplama ve \u00c7\u0131karma \u0130\u015flemi 4.\t A\u015fa\u011f\u0131da verilen i\u015flemleri yap\u0131n\u0131z. 5.\t A\u015fa\u011f\u0131da verilen i\u015flemleri yap\u0131n\u0131z. a) 1 - 1 = a) c 5 + 1 m - 3 = 6 18 6 24 4 23 9 11 b) 7 + 14 = b) 20 + c 4 - 5 m = 29 5 c) 40 - 8 = 1 51 c) c4 3 + 1 6 m - 2 = \u00e7) 2 + 1 + 5 = 3 4 12 \u00e7) 2-c 3 + 1 m= 8 24 23 1 d) 5 + 4 - 20 = 5-1 6 47 7 d) c 5 + 3m - 1 10 = e) = 154 = f) ++ 623 e) c6 2 -1 1 m+ 1 = 5 15 3 271 g) 3 + 15 - 5 = \u011f) 8 + 1 - 5 = 11 9 18 6 f) 5 + c1 3 - 9 m = 142 5. S\u0131n\u0131f","Test Kesirlerle Toplama \u2013 \u00c7\u0131karma \u0130\u015flemi Uyguluyorum 32 1.\t \t\t 5.\t 4+1 2 + 3 Yukar\u0131da modellenen toplama i\u015fleminin sonucu i\u015fleminin sonucu ka\u00e7t\u0131r? a\u015fa\u011f\u0131dakilerden hangisidir? A) 5\t 16 17 A) B) 3 \t C) 3 \tD) 6 6.\t _ + 12 = 28 65 65 65 C) D) i\u015flemindeki \ufffd say\u0131s\u0131 ka\u00e7t\u0131r? A) 17\t B) 16\tC) 15\tD) 14 2.\t \t\t 82 + 7.\t 13 13 11 - 1 18 3 i\u015fleminin sonucu ka\u00e7t\u0131r? 6 8 10 12 i\u015fleminin sonucu ka\u00e7t\u0131r? A) 13 \t B) 13 \tC) 13 \tD) 13 10 875 A) 18 \t B) 18 \tC) 18 \tD) 18 3.\t \t\t 9-5 14 14 i\u015fleminin sonucu ka\u00e7t\u0131r? 1 33 2 8.\t A) 14 \t B) 14 \tC) 7 \tD) 7 - 4.\t \t\t 2- 7 8 Yukar\u0131daki modellemelerle g\u00f6sterilen \u00e7\u0131karma i\u015f- leminin sonucu ka\u00e7t\u0131r? i\u015fleminin sonucu ka\u00e7t\u0131r? 5 21 5 A) 6 \t B) 3 \tC) 2 \tD) 12 A) 1 1 \t B) 1 3 \tC) 1 5 \tD) 1 7 8 8 8 8 5. S\u0131n\u0131f 143","Uyguluyorum Kesirlerle Toplama \u2013 \u00c7\u0131karma \u0130\u015flemi Test 32 9.\t \t\t 1 5 +2 1 13.\t A\u015fa\u011f\u0131daki \u015fekilde s\u0131ras\u0131yla verilen i\u015flemler uygula- 12 3 narak en alttaki kesir elde edilmi\u015ftir. 1 A 8 i\u015fleminin sonucu ka\u00e7t\u0131r? 11 13 15 17 + A) 4 \t B) 4 \tC) 4 \tD) 4 7 B 24 - 1 12 10.\t \t\t 17 - 2 Buna g\u00f6re, A + B i\u015fleminin sonucu ka\u00e7t\u0131r? 2 1 53 5 A) 6 \t B) 24 \tC) 8 \tD) 12 i\u015fleminin sonucu ka\u00e7t\u0131r? 9 10 11 13 A) 2 \t B) 2 \tC) 2 \tD) 2 14.\t \t\t 11.\t 5 3 13 c3 + 1 m-c1 + 2 m T = 8 + 32 Y = 4 - 16 3 9 Yukar\u0131daki i\u015flemlere g\u00f6re \ufffd + \ufffd i\u015fleminin sonu- i\u015fleminin sonucu ka\u00e7t\u0131r? cu ka\u00e7t\u0131r? A) 2 1 \t B) 2 1 \tC) 2 5 \tD) 2 2 9 3 9 3 25 23 21 1 A) 32 \t B) 32 \tC) 32 \tD) 16 \t 12.\t \t 1 1 11 15.\t \t\t c 4 - 12 m + c 3 - 6 m 17 1 c1 2 + 8 m - 2 16 i\u015fleminin sonucu ka\u00e7t\u0131r? 5 111 i\u015fleminin souncu ka\u00e7t\u0131r? A) 12 \t B) 3 \tC) 4 \tD) 6 5 789 A) 16 \t B) 16 \tC) 16 \tD) 16 144 5. S\u0131n\u0131f","Kesirlerle Toplama - \u00c7\u0131karma \u0130\u015flemi Problemleri \ufffd Kesirlerle toplama ve \u00e7\u0131karma i\u015flemi gerektiren problemleri \u00e7\u00f6zerken payda e\u015fitleme unutulmamal\u0131d\u0131r. \ufffd Problemi daha iyi anlamak ve \u00e7\u00f6z\u00fcm\u00fc kolayla\u015ft\u0131rmak i\u00e7in modellemeden yararlan\u0131labilir. \u00d6rnek: 15 Eda, paras\u0131n\u0131n \u00f6nce 3 \u2019ini, sonra 12 \u2019ini harc\u0131yor. Buna g\u00f6re paras\u0131n\u0131n ka\u00e7ta ka\u00e7\u0131 kalm\u0131\u015ft\u0131r? Ka\u00e7ta ka\u00e7\u0131 veya geriye kalan gibi ifadelere dikkat ediniz. 1 +5 = 4+5 = 9 harcanan para 1 , 3 , 12 ,... gibi kesirler bir b\u00fct\u00fcn\u00fc ifade eder. 3 12 12 12 12 1 3 12 ^4h 12 - 9 = 3 kalan paras\u0131 12 12 12 28 15 4.\t Selin bir \u015fi\u015fedeki s\u00fct\u00fcn 6 \u2019ini sabah, 12 \u2019ini \u00f6\u011fleyin 3 1.\t Bir bardak suyun 8 \u2019\u00fc i\u00e7ilirse geriye suyun ka\u00e7ta 3 ve 24 \u2019\u00fcn\u00fc de ak\u015fam i\u00e7mi\u015ftir. ka\u00e7\u0131 kal\u0131r? Buna g\u00f6re Selin \u015fi\u015fedeki s\u00fct\u00fcn ka\u00e7ta ka\u00e7\u0131n\u0131 i\u00e7- mi\u015ftir? 72 2 11 2.\t Ay\u015fen bir kitab\u0131n \u00f6nce 15 \u2019sini, sonra 3 \u2019sini oku- 5.\t Hasan bir i\u015fin ilk g\u00fcn 5 \u2019sini ikinci g\u00fcn 30 \u2019ini bitir- mu\u015ftur. mi\u015ftir. Buna g\u00f6re Ay\u015fen kitab\u0131n ka\u00e7ta ka\u00e7\u0131n\u0131 okumu\u015f- tur? Buna g\u00f6re Hasan\u2019\u0131n geriye kalan i\u015fi bu i\u015fin ka\u00e7ta ka\u00e7\u0131d\u0131r? 3 3.\t Bir otob\u00fcs 120 km lik yolun 4 \u2019\u00fcn\u00fc giderse geriye ka\u00e7 km yolu kal\u0131r? 5. S\u0131n\u0131f 145","Kesirlerle Toplama - \u00c7\u0131karma \u0130\u015flemi Problemleri 4 14 6.\t Eylem girdi\u011fi bir s\u0131navdaki sorular\u0131n 5 \u2019\u00fcn\u00fc do\u011fru, 9.\t Nurdan\u2019\u0131n tokalar\u0131n\u0131n say\u0131s\u0131n\u0131n 3 \u2019i ile 9 \u2019\u00fcn\u00fcn 1 toplam\u0131 28 oldu\u011funa g\u00f6re Nurdan\u2019\u0131n ka\u00e7 tokas\u0131 10 \u2019ini yanl\u0131\u015f cevaplam\u0131\u015f ve 5 soruyu da bo\u015f b\u0131rak- vard\u0131r? m\u0131\u015ft\u0131r. Buna g\u00f6re bu s\u0131navdaki toplam soru say\u0131s\u0131 ka\u00e7- t\u0131r? 9 10.\t Eren \u00e7\u00f6zmesi gereken sorular\u0131n 1. g\u00fcn 14 \u2019unu, 2. 2 g\u00fcn 7 \u2019sini kalan sorular\u0131 da 3. g\u00fcn \u00e7\u00f6zerek bitiriyor. Eren\u2019in 1. g\u00fcn \u00e7\u00f6zd\u00fc\u011f\u00fc soru say\u0131s\u0131 2. g\u00fcn \u00e7\u00f6zd\u00fc- \u011f\u00fc soru say\u0131s\u0131ndan 40 fazlaysa 3. g\u00fcn \u00e7\u00f6zd\u00fc\u011f\u00fc soru say\u0131s\u0131 ka\u00e7t\u0131r? 11 7.\t Bir tabaktaki cevizlerin 3 \u2019ini Kemal, 6 \u2019ini Emel ye- mi\u015ftir. Geriye kalan 14 cevizi de Burak yedi\u011fine g\u00f6re ba\u015flang\u0131\u00e7ta tabakta ka\u00e7 ceviz vard\u0131r? 11.\t A\u015fa\u011f\u0131daki tablo ko\u015fuya kat\u0131lan \u00fc\u00e7 arkada\u015f\u0131n ko\u015ftuk- lar\u0131 mesafeyi g\u00f6stermektedir. Bade Erdem Nehir 25 37 1 18 6 2 3 24 \t a)\t Erdem, Bade\u2019den ka\u00e7 km daha fazla yol ko\u015fmu\u015f- 8.\t Ay\u015fe bir kitab\u0131n \u00f6nce 5 \u2019sini, sonra 15 \u2019\u00fcn\u00fc oku- tur? yunca geriye okumad\u0131\u011f\u0131 30 sayfas\u0131 kald\u0131\u011f\u0131na g\u00f6re kitab\u0131n tamam\u0131 ka\u00e7 sayfad\u0131r? \t b)\t Bade, Erdem ve Nehir\u2019in ko\u015ftu\u011fu toplam mesafe ka\u00e7 km\u2019dir? 146 5. S\u0131n\u0131f","Test Kesirlerle Toplama - \u00c7\u0131karma Uyguluyorum 33 \u0130\u015flemi Problemleri 8 5.\t Antalya\u2019n\u0131n Ka\u015f il\u00e7esinde \u00e7\u0131kan orman yang\u0131nlar\u0131nda 1.\t 1 metre kuma\u015f\u0131n 15 metresi kullan\u0131ld\u0131\u011f\u0131nda geri- 39 ye ka\u00e7 metre kuma\u015f kal\u0131r? Temmuz ay\u0131nda 8 7 hektar, A\u011fustos ay\u0131nda 7 14 1 41 7 hektarl\u0131k alan yanm\u0131\u015ft\u0131r. A) 5 \t B) 15 \tC) 3 \tD) 15 Buna g\u00f6re \u00e7\u0131kan bu yang\u0131nlarla toplam ka\u00e7 hek- tarl\u0131k alan k\u00fcl olmu\u015ftur? 1313 A) 15 14 \t B) 15 14 \tC) 16 14 \tD) 16 14 6.\t \t 1\/2 1 2.\t Azra bir pastan\u0131n \u00f6nce 2 \u2019ini, daha sonra ise 3 10 \u2019\u00fcn\u00fc yiyor. Buna g\u00f6re pastan\u0131n geriye ka\u00e7ta ka\u00e7\u0131 kalm\u0131\u015ft\u0131r? 4 72 1 01 A) 5 \t B) 10 \tC) 5 \tD) 5 3 Yukar\u0131da g\u00f6sterilen yak\u0131t deposunun 4 \u2019\u00fc doludur. 11 Deponun 12 \u2019inin dolabilmesi i\u00e7in deponun ne kadar\u0131 kadar daha yak\u0131t al\u0131nmal\u0131d\u0131r? 1 111 A) 12 \t B) 6 \tC) 4 \tD) 3 1 3.\t Eliz bir pizzan\u0131n 6 \u2019ini yemi\u015ftir. Eliz bu pizzan\u0131n ka\u00e7ta ka\u00e7\u0131n\u0131 daha yerse geriye pizzan\u0131n yar\u0131s\u0131 kal\u0131r? 1 1 25 7.\t \t A) 3 \t B) 2 \tC) 3 \tD) 6 4.\t Bir kre\u015fte sabah kahvalt\u0131s\u0131nda 4 ekmek, \u00f6\u011fle yeme- 85 Bir tarlan\u0131n 35 \u2019ine g\u00fcl, 7 \u2019ine lavanta ekiliyor. \u011finde 2 3 ekmek t\u00fcketilmektedir. Tarlan\u0131n geriye kalan k\u0131sm\u0131 da turistik ama\u00e7l\u0131 ayr\u0131l\u0131- 7 yor. Buna g\u00f6re bu kre\u015fte sabah kahvalt\u0131s\u0131nda t\u00fcke- tilen ekmek \u00f6\u011fle yeme\u011finde t\u00fcketilen ekmekten Buna g\u00f6re turistik ama\u00e7l\u0131 ayr\u0131lan alan tarlan\u0131n ka\u00e7 fazlad\u0131r? ka\u00e7ta ka\u00e7\u0131d\u0131r? 9 10 11 12 2 8 25 33 A) 7 \t B) 7 \tC) 7 \tD) 7 A) 35 \t B) 35 \tC) 35 \tD) 35 5. S\u0131n\u0131f 147","Uyguluyorum Kesirlerle Toplama - \u00c7\u0131karma Test \u0130\u015flemi Problemleri 33 14 1 8.\t Bayram maa\u015f\u0131n\u0131n 4 \u2019ini kiraya, 12 \u2019\u00fcn\u00fc mutfak mas- 11.\t Kaan; y\u00fcksekli\u011fi 1 metre olan masan\u0131n \u00fcst\u00fcne 8 1 raflar\u0131na, 6 \u2019ini de faturalara veriyor. \u00e7\u0131kt\u0131\u011f\u0131nda boyu 5 metre y\u00fcksekli\u011findeki a\u011fac\u0131n ya- Geriye 1200 TL paras\u0131 kald\u0131\u011f\u0131na g\u00f6re Bayram\u2019\u0131n maa\u015f\u0131 ka\u00e7 TL\u2019dir? r\u0131s\u0131 kadar olmaktad\u0131r. A) 3600\t B) 4200\tC) 4500\tD) 4800 5m 1 1 8 Buna g\u00f6re Kaan\u2019\u0131n boyu ka\u00e7 metredir? 1 1 35 A) 1 8 \t B) 1 4 \tC) 1 8 \tD) 1 8 2 12.\t Bir ara\u00e7 100 km yolda 6 litre benzin t\u00fcketmektedir. 9.\t Bir deneme s\u0131nav\u0131ndaki sorular\u0131n 5 \u2019sini cevaplayan 1 9 Bu ara\u00e7 gidece\u011fi yolun 10 \u2019ini gitmi\u015ftir. 200 km daha Hayriye 20 soru daha i\u015faretlerse t\u00fcm sorular\u0131n 10 \u2019u tamamlanm\u0131\u015f oluyor. 3 giderse yolun 5 \u2019\u00fcn\u00fc gitmi\u015f oluyor. Buna g\u00f6re bu deneme s\u0131nav\u0131ndaki soru say\u0131s\u0131 ka\u00e7t\u0131r? Buna g\u00f6re, bu ara\u00e7 yolun tamam\u0131n\u0131 gitti\u011finde toplam ka\u00e7 litre benzin t\u00fcketir? A) 30\t B) 40\tC) 50\tD) 60 A) 24\t B) 27\tC) 30\tD) 36 41 5 10.\t Bir \u00e7uval pirincin \u00f6nce 15 \u2019\u00fc sonra da 3 \u2019i sat\u0131lm\u0131\u015ft\u0131r. 13.\t Bir bale kursunda kay\u0131t kontenjan\u0131n\u0131n 6 \u2019i doludur. Geriye sat\u0131lmayan 12 kg pirin\u00e7 kald\u0131\u011f\u0131na g\u00f6re, Bu kursa kay\u0131t yapt\u0131ran 4 ki\u015fi kayd\u0131n\u0131 sildirirse kon- ba\u015flang\u0131\u00e7ta \u00e7uvalda ka\u00e7 kg pirin\u00e7 vard\u0131r? 2 tenjan\u0131n 3 \u2019si dolu oluyor. Buna g\u00f6re bu bale kursu kontenjan\u0131 ka\u00e7 ki\u015filiktir? A) 45\t B) 40\tC) 35\tD) 30 A) 12\t B) 16\tC) 20\tD) 24 148 5. S\u0131n\u0131f","Test Kesirler Ba\u015far\u0131yorum 34 1.\t Ekin internet \u00fczerinden 120 dakikal\u0131k bir filmi izlemeye ba\u015flam\u0131\u015ft\u0131r. Bu film s\u00fcresi 8 e\u015f zaman diliminde bir filme ara verip reklam yay\u0131nlamaktad\u0131r. 23.14\/120.00 Buna g\u00f6re 3. reklam ba\u015flay\u0131ncaya kadar filmin ka\u00e7 dakikal\u0131k k\u0131sm\u0131 bitmi\u015f olur? A) 24\t B) 30\tC) 36\tD) 45 2.\t Bir ara\u00e7 deposu tamamen bo\u015fald\u0131\u011f\u0131nda benzin is- 3.\t A\u015fa\u011f\u0131da G\u00f6lc\u00fck G\u00f6l\u00fc etraf\u0131ndaki bisiklet yolu g\u00f6s- tasyonunda durmu\u015ftur. terilmi\u015ftir. B 11 20 km 1 km 4 EF A C G\u00f6lc\u00fck G\u00f6l\u00fc Araca 49 lt yak\u0131t al\u0131nd\u0131ktan sonra yak\u0131t g\u00f6stergesi yu- 2 km 3 km kar\u0131daki g\u00f6rselde verilmi\u015ftir. 5 10 Buna g\u00f6re bu arac\u0131n yak\u0131t deposunun tamamen D dolmas\u0131 i\u00e7in ka\u00e7 lt yak\u0131t al\u0131nmal\u0131d\u0131r? A) 25\t B) 30\tC) 35\tD) 40 Baran A noktas\u0131ndan ba\u015flay\u0131p s\u0131ras\u0131yla B, C ve D noktalar\u0131nda mola verdikten sonra tekrar A noktas\u0131na ula\u015f\u0131yor. Buna g\u00f6re Baran bu bisiklet yolu \u00fczerinde ka\u00e7 km yol gitmi\u015f olur? 30 29 27 14 A) 20 \t B) 20 \tC) 20 \tD) 10 5. S\u0131n\u0131f 149"]