Grade 6 / Decimal numbers 70 exercises (including 68 corrected)

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1322934?2 ChingQuizz : 12 exercises available for Quizz assessment : 1. Mental calculation E.3317 Using mental arithmetic, perform the following calculations : a 3 × 6 b 5 + 7 c 18 − 6 d 7 × 7 e 4 × 8 f 19 − 2 E.9873 Using mental arithmetic, perform the following calculations : A 8 + 7 b 25 − 3 c 12 ÷ 3 d 3 × 6 e 4 + 13 f 15 − 3 E.3409 Using mental arithmetic, complete the following blanks : a 7 × : : : = 35 b : : : − 3 = 5 c 3 × : : : = 12 d 18 − : : : = 11 e : : : + 3 = 3 f 8 × : : : = 24 E.3370 Using mental arithmetic, complete the following blanks : a 15 + : : : = 17 b 35 − : : : = 23 c 3 × : : : = 27 d 14 + : : : = 19 e 25 − : : : = 12 f 8 × : : : = 56 E.9874 Using mental arithmetic, perform the following calculations : a 33 − 18 b 12 + 19 c 12 × 3 d 15 × 3 e 13 + 28 f 34 − 17 E.9871 Using mental arithmetic, complete the following blanks : a 17 + : : : = 25 b : : : − 13 = 25 c : : : + 13 = 31 d 34 − : : : = 21 e 13 × : : : = 143 f : : : × 16 = 64 E.3369 Using mental arithmetic, perform the following calculations : A 12 × 3 b 15 + 7 c 12 − 8 d 12 + 19 e 12 − 7 f 12 × 3 E.3371 For each question, three answers are proposed ; only one of them is correct. Specify the correct answer: a b c 1 37 + 55 95 92 82 2 92 − 51 41 62 21 3 34 × 3 134 111 102 4 54 + 83 127 132 137 5 95 − 48 37 52 47 E.9857 Using mental arithmetic, complete the following blanks : a 5 + : : : = 12 b 15 − : : : = 7 c 3 × : : : = 27 d 17 + : : : = 25 e : : : − 13 = 25 f 12 × : : : = 60 g : : : + 13 = 31 h 34 − : : : = 21 i 3 × : : : = 39 E.10777 Give two integers whose product is 18 and whose sum is 9 . Justify your result. E.3318 Using mental math, perform the following calculations : a 12 × 202 b 18 + 7 + 12 c 157 + 274 d 9 × 113 e 123 − 55 f 235 − 54 E.9872 Using mental math, complete the following blanks : a 12 × : : : = 60 b 313 × : : : = 6573 c : : : − 439 = 94 d 7 × : : : = 175 e 72 + : : : = 1212 f : : : − 38 = 45 E.6140 Without any justification, give the value of the number hidden behind the question mark in the diagram below so that all the calculations present are correct: https://chingmath.fr chapExoCorrec/3317 sacados/3317 chapExoCorrec/9873 sacados/9873 chapExoCorrec/3409 sacados/3409 chapExoCorrec/3370 sacados/3370 chapExoCorrec/9874 sacados/9874 chapExoCorrec/9871 sacados/9871 chapExoCorrec/3369 sacados/3369 chapExoCorrec/3371 sacados/3371 chapExoCorrec/9857 sacados/9857 chapExoCorrec/10777 sacados/10777 chapExoCorrec/3318 sacados/3318 chapExoCorrec/9872 sacados/9872 chapExoCorrec/6140 sacados/6140 1322934?2
8320427925?5 + 2 dixièmes- 1 dizaine+ 3 centaines+ 1 centièmes- 3 millièmes534;785 E.11791 Sans aucune justification, donner la valeur du nombre cachée derrière le point d’interrogation dans le diagramme ci-dessous afin que tous les calculs présents soient corrects : E.2523 Compléter les pointillés: a 10 + 6 = 20 − : : : b 5 × 6 = 24 + : : : c 24 ÷ : : : = 8 + 4 d 56 ÷ 7 = : : : × 2 2. Review of the Average Course E.6471 For each question, give an integer that verifies all of the requested conditions : 1 This integer has two digits such that : The tens digit is 5 . The sum of its digits is 12 . 2 This integer has three digits such that : The units digit is 4 . The sum of its digits is 19 . The hundreds digit is twice the units digit 3 This integer has three digits such as : The hundreds digit is 8 . The sum of its digits is 17 . The units digit is double the tens digit. E.6468 Consider the following list of num-bers : 152 708 347 178 359 54 602 450 1449 841 704 548 Which of the above numbers verify the property: a it is written with two digits ; b the tens digit is 4 ; c the hundreds digit is worth 5 ; d the hundreds digit is an even number; E.2139 Write the following numbers as dec-imals: 1 Three hundred and nineteen hundredths. 2 Eighty-three and five thousandths. 3 Zero and thirty-four thousandths. E.9875 Write the following decimal numbers in words : a 307.54 b 2 005.034 E.10778 Consider the two numbers : A = 54.702 and B = 83.15 . 1 Consider the number C such that : its integer part is the same as that of the number B ; its decimal part is the same as that of the number A . Write the number C . 2 The number D is constructed by adding two tens and two hundredths to the number B . Write the number D . E.6169 Consider the number A =124.307 . For each question, give the decimal form of the new number obtained : a when two tenths are added to the number A . b when subtracting one tenth from the number A . c when adding three hundreds to the number A . d when adding two thousandths to the number A . e when adding five hundredths to the number A . f when adding three thousands to the number A . E.10252 Complete the following diagram: 3. Comparison of decimal numbers https://chingmath.fr chapExoCorrec/11791 sacados/11791 8320427925?5 sacados/2523 chapExoCorrec/6471 sacados/6471 chapExoCorrec/6468 sacados/6468 chapExoCorrec/2139 sacados/2139 chapExoCorrec/9875 sacados/9875 chapExoCorrec/10778 sacados/10778 chapExoCorrec/6169 sacados/6169 chapExoCorrec/10252 sacados/10252 + 2 dixièmes- 1 dizaine+ 3 centaines+ 1 centièmes- 3 millièmes534;785
Symbole<>Traductionstrictement plus petitplus petit ou égalstrictement plus grandplus grand ou égal E.1465 Translate each of the inequalities into a sentence in French : a 12 < 34 b 81.2 > 81.17 Vocabulary : E.9882 Use symbols < (strictly smaller) , > (strictly larger) and = (equal) if possible, to compare the following decimal numbers : a 1.5 : : : 1.3 b 3.32 : : : 3.25 c 3.34 : : : 3.4 d 0.42 : : : 0.3 e 12.8 : : : 12.80 f 6.41 : : : 7.310 E.7867 Fill in the blanks correctly in order to compare the numbers for each question : a 14.7 : : : 14.701 b 5.102 : : : 5.12 c 7.71 : : : 8.71 d 8.401 : : : 8.7 E.9962 For each question, fill in the blanks correctly to compare the numbers : a 12.702 : : : 12.4 b 5.72 : : : 5.3 c 0.07 : : : 0.7 d 9.700 : : : 9.7 E.11747 Parmi les comparaisons ci-dessous, lesquelles sont exactes? a 1 ; 07 1 + 7 10 b 3 ; 42 3 + 5 10 c 6 ; 17 6 + 1 10 + 7 100 d 0 ; 35 32 100 E.1480 In each case, consider two numbers A and B whose integer parts are identical. For each question, choose one of the three suggested answers : 1 5 is the tenths digit of A while B has 3 for the tenths digit. A is greater than B A is smaller than B We cannot conclure 2 A has 3 for tenths digit and 2 for hundredths digit; B has 2 for tenths digit and 5 for hundredths digit. A is greater than B A is smaller than B We cannot conclure 3 The tenths digit of A is 8; the hundredths digit of B is 3. A is greater than B A is smaller than B We cannot conclure 4 The decimal part of A is 34 hundredths ; The decimal part of B is 4 tenths. A is greater than B A is smaller than B We cannot conclure 5 The decimal part of A is 42 hundredths ; The decimal part of B is 3 tenths. A is greater than B A is smaller than B We cannot conclure E.10779 Consider the following five num-bers : A : five thousand three hundred and four thousandths ; B = 5.34 C = 5 + 405 1 000 ; D = 5 + 3 10 + 9 100 ; E = 541 100 1 Put these numbers in ascending order. 2 Justify your comparison of the decimal numbers C and E . E.10194 For each question, one number has been replaced with the symbol • , but comparison of the pair of numbers is still possible. Complete the blanks with the appropriate comparison symbol: a 13.704 : : : 23 ; • 4 b 5.94 : : : 5.8 • 7 c 9.8 : : : 9.1 • d 1 • ; 9 : : : 10.54 4. Ordering a series of decimal numbers E.1490 Arrange the following numbers in ascending order : 3.01 ; 3.202 ; 3.21 ; 3.102 E.1493 Arrange the following numbers in ascending order : 0.334 ; 0.03 ; 0.302 ; 0.34 ; 0.032 E.1498 Arrange in decreasing order the num-bers following : 3.402 ; 3.043 ; 3.04 ; 3.3 ; 3.42 E.1486 Arrange the following eight numbers in ascending order : 7.104 ; 7.4 ; 7.04 ; 7.14 7.41 ; 7.1 ; 7.301 ; 7.014 E.1464 Arrange the following eight numbers in ascending order : 27.40 ; 27.54 ; 27.054 ; 27.04 27.045 ; 27.5 ; 27.405 ; 27.504 https://chingmath.fr chapExoCorrec/1465 sacados/1465 Symbole<>Traductionstrictement plus petitplus petit ou égalstrictement plus grandplus grand ou égal chapExoCorrec/9882 sacados/9882 chapExoCorrec/7867 sacados/7867 chapExoCorrec/9962 sacados/9962 sacados/11747 chapExoCorrec/1480 sacados/1480 chapExoCorrec/10779 sacados/10779 chapExoCorrec/10194 sacados/10194 chapExoCorrec/1490 sacados/1490 chapExoCorrec/1493 sacados/1493 chapExoCorrec/1498 sacados/1498 chapExoCorrec/1486 sacados/1486 chapExoCorrec/1464 sacados/1464
EnfractiondécimaleEnécrituredécimaleEnlettreundixième0,1110troisetdeuxcentièmes3,02302100zéroetdouzemillièmes20,340341000 EnfractiondécimaleEnécrituredécimaleEnlettre54,3quatre-vingtetdeuxdixièmes320210020,35302100 E.3448 Arrange the following eight numbers in descending order : 3.505 ; 3.45 ; 3.05 ; 3.504 3.005 ; 3.405 ; 3.55 ; 3.044 E.2177 Copy le (s) nombre (s) between 2.6 and 4.21 : 2.45 ; 2.802 ; 3.1 ; 4.3 ; 4.105 ; 4.24 5. Writing in decimal fractions E.10183 Complete the following sentences : a One unit is . . . tenths : 1 = : : : × 1 10 b One unit is . . . hundredths : 1 = : : : × 1 100 c One unit is . . . thousandths : 1 = : : : × 1 1000 d One tenth is . . . thousandths : 1 10 = : : : × 1 1000 E.1477 The number 37.89 is a decimal num-ber with fractional writing: 37.89 = 3789 100 Give the fractional writings of the following three num-bers : a 7.46 b 37.49 c 0.037 E.3372 Write the following numbers as dec-imals: a 537 1 000 b 2 437 100 c 54 10 d 942 100 E.6476 Consider the following two numbers : A : three thousand and twenty five hundredths ; B : eighty five thousand three hundred and three thou-sandths. 1 Give the fractional writing of the numbers A and B . 2 Give the decimal writing of the numbers A and B . E.9886 Give the fractional and then the decimal form of the following numbers : a twenty-four hundredths b five hundred and eighty-three thousandths E.9964 Give the fractional and then the decimal form of the following numbers : a three hundred and fifty thousandths b five hundred twenty-three tenths E.10184 Complete the blanks : a 9 100 = : : : 1000 b 450 100 = : : : 10 c 9 100 = 900 : : : E.6510 Complete each of the tables below : 6. Decomposition into decimal fractions E.7869 The numbering table shows the dif-ferent positions of the digits in the decimal form and their values as decimal numbers or fractions https://chingmath.fr chapExoCorrec/3448 sacados/3448 chapExoCorrec/2177 sacados/2177 chapExoCorrec/10183 sacados/10183 chapExoCorrec/1477 sacados/1477 chapExoCorrec/3372 sacados/3372 chapExoCorrec/6476 sacados/6476 chapExoCorrec/9886 sacados/9886 chapExoCorrec/9964 sacados/9964 chapExoCorrec/10184 sacados/10184 chapExoCorrec/6510 sacados/6510 EnfractiondécimaleEnécrituredécimaleEnlettreundixième0,1110troisetdeuxcentièmes3,02302100zéroetdouzemillièmes20,340341000 EnfractiondécimaleEnécrituredécimaleEnlettre54,3quatre-vingtetdeuxdixièmes320210020,35302100 chapExoCorrec/7869 sacados/7869
CBADizainesdemilliersUnitésdesmilliersCentainesDizainesUnitésDixièmesCentièmesMillièmesDixmillièmes1000010001001010,10,010,0010,0001100001000100101110110011000110000 Consider the following three numbers : A = 84.76 ; B = 301.4 ; C = 3.204 1 Place these three numbers correctly in the table above : 2 The number A can be broken down in the following two ways : 84.76 = (8 × 10) + (4 × 1) + (7 × 0.1) + (6 × 0.01) 84.76 = 84 + 7 10 + 6 100 For each of the numbers B and C , give their two decom- positions. E.1487 Give the decimal writing of the fol-lowing numbers : a (5 × 10) + (3 × 0.1) + (4 × 0.01) b (3 × 100) + (8 × 1) + 2 100 + 3 1 000 E.2150 For each of the numbers below, give the two writings following : La decomposition decimal; La decomposition in decimal fractions . a 13.51 b 3.000 45 c 27.309 E.9887 Give the decimal and fractional de-composition of the following numbers : a 35.034 b 703.5 E.1466 Arrange the numbers below in de-scending order : A = 13 + 5 10 + 7 100 ; B = 19 + 9 10 ; C = 13 + 6 10 D = 20 + 1 10 ; E = 19 + 9 100 E.2176 Copy the (s) number (s) equal to 36+ 82 1 000 from the following numbers : 36.82000 ; 36.082 ; 36.82 ; 36.00082 36 + 8 100 + 2 1 000 ; 36 + 8 10 + 2 100 7. Numbers of tens, hundreds, thousands E.9890 1 Copy and complete the following equalities correctly: a 132 = : : : × 10 + 2 b 3 241 = : : : × 10 + 1 2 Deduce the number of tens contained in the number 132 . Deduce the number of tens contained in the number 3 241 . E.9897 Copy and complete the following two equalities: 3 497 = : : : × 100 + 97 ; 3 497 = : : : × 10 + 7 Deduce how many tens and hundreds the number 3 497 in-cludes. E.10205 Complete the table below : Entier Number des dizaines Figures des centaines Number de dizaines 37 1 254 E.9892 Complete the table below : Entier Number des dizaines Figures des centaines Number de dizaines 107 12 053 E.9967 Copy and complete the following table : Chiffre des tens Nombre de dizaines Chiffres des centaines Nombre de hundreds 34 509 32 465 E.9891 What is the number of tens con-tained in 216 ? and in 7 051 ? https://chingmath.fr CBADizainesdemilliersUnitésdesmilliersCentainesDizainesUnitésDixièmesCentièmesMillièmesDixmillièmes1000010001001010,10,010,0010,0001100001000100101110110011000110000 chapExoCorrec/1487 sacados/1487 chapExoCorrec/2150 sacados/2150 chapExoCorrec/9887 sacados/9887 chapExoCorrec/1466 sacados/1466 chapExoCorrec/2176 sacados/2176 chapExoCorrec/9890 sacados/9890 chapExoCorrec/9897 sacados/9897 chapExoCorrec/10205 sacados/10205 chapExoCorrec/9892 sacados/9892 chapExoCorrec/9967 sacados/9967 chapExoCorrec/9891 sacados/9891
E.2152 John has seven thousand eight cent fifty french. How much can he possess at the maximum of coins of cent franches? E.2126 In his chicken coop, a farmer collects 153 eggs. How many boxes of ten eggs can he make? E.9889 At the bank teller, Emily withdraws the sum of 76 e and asks for as many 10 e bills as possible. How many ten-euro bills will she receive? E.9966 A hardware storekeeper is taking in-ventory of his store. He counts three hundred and forty-three light bulbs. He wants to arrange them in boxes containing ten bulbs each. How many boxes will he fill completely? 8. Problems E.1485 A box of one hundred " compact discs "costs 366 pesos. How much does a " compact disc "?cost? E.1473 A major sports tournament is being held at a middle school with 632 students. Each team will consist of 10 players. How many complete teams can be formed? E.3511 A shopkeeper has one hundred and fifty-three packages of spaghetti ; he wants to promote the pasta by selling it in lots of ten. How many sets can he make? E.9894 A store sells pens in bags of 10 for 2.3 e a bag. A customer needs 125 of these pens. How much will he spend? E.9896 James counts his savings, he has three thousand four hundred and twenty-three euros. He de-cides to change as many of his savings as he can into hundred-euro bills. How many hundred-euro bills can he have? E.9895 Find a three-digit integer such that : Its units digit is double the hundreds digit and its tens digit is the sum of the units and hundreds digits. 9. Unclassified exercises E.1596 Give the decimal values of the fol-lowing fractions : a 12 100 b 3.2 10 c 132.5 100 E.1622 Give a fraction equal to each of the numbers below : A 0.3 b 0.25 c 3.2 d 10 E.2581 Copy and complete the table below : Écritures décimales Décomposition décimale Fractions décimales Écritures en lettres 5 ; 71 5+ 7 10 + 1 100 5+ 71 100 571 100 cinq unités et soi-xante-onze centiè-mes 2+ 3 10 + 9 100 5, 034 douze unités et cent-cinq millièmes https://chingmath.fr chapExoCorrec/2152 sacados/2152 chapExoCorrec/2126 sacados/2126 chapExoCorrec/9889 sacados/9889 chapExoCorrec/9966 sacados/9966 chapExoCorrec/1485 sacados/1485 chapExoCorrec/1473 sacados/1473 chapExoCorrec/3511 sacados/3511 chapExoCorrec/9894 sacados/9894 chapExoCorrec/9896 sacados/9896 chapExoCorrec/9895 sacados/9895 chapExoCorrec/1596 sacados/1596 chapExoCorrec/1622 sacados/1622 chapExoCorrec/2581 sacados/2581