Grade 6 / multiplication 73 exercises (including 72 corrected)

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ChingQuizz : 7 exercises available for Quizz assessment : 1. Mental Math E.11806 Compléter les pointillés: a 2 × 8 = 4 × : : : b 6 × : : : = 12 × 2 c 8 × : : : = 2 × 28 d 12 × 3 = 9 × : : : 2. Review: Addition and Subtraction E.3567 Copy and complete the following calculations : a 1 8 4 + 3 8 1 . . . b 5 4 3 1 + 1 8 1 1 . . . . c 1 7 9 3 + 3 5 1 8 . . . . E.2757 Copy and complete the following calculations : a 1 5 1 + 7 . . . 6 b 3 5 4 6 + . . . 8 6 2 7 . E.3566 Copy and perform the following sub-tractions : a 3 5 2 - 1 7 1 . . . b 3 1 5 4 - 9 4 9 . . . . E.10748 Using mental arithmetic, complete the dotted lines in the calculations below : a 23 + : : : = 40 b 57 + : : : = 90 c 38 + : : : = 50 d 54 + : : : = 80 e 24 + : : : = 50 f : : : + 41 = 70 E.9907 Using mental arithmetic, complete the blanks in the calculations below : a 37 + : : : = 100 b 481 + : : : = 500 c 158 + : : : = 200 d 233 + : : : = 300 e 956 + : : : = 1000 f 508 + : : : = 600 E.9904 Place and perform the following ad-ditions : a 24.5 + 7.84 + 108.31 b 3.75 + 15.27 + 109.6 E.9900 Copy and complete the following calculations : a 3 7,. 1 + . 3 . 6 2 8 .,1 . b 3 0 4,. . + . . 8 . 1 3 6 0 .,7 0 E.9909 Perform the following subtractions : a 23.5 10.7 b 54.709 35.85 c 307.54 184.102 E.7870 Using mental arithmetic, complete the following dots : a 3.7 + : : : = 4 b 2.07 + : : : = 3 c 8.34 + : : : = 9 d 1.037 + : : : = 2 e 5.311 + : : : = 6 f 19.9 + : : : = 20 3. Introduction multiplication by 0.1; 0.01; 0.001 E.10315 1 a What is the value of ten tenths? twelve tenths? b Complete the blanks below : 10 × 0 ; 1 = : : : ; 12 × 0 ; 1 = : : : ; 57 × 0 ; 1 = : : : 2 a What is the value of one hundredths? of three hun-dred and twenty-five hundredths? b Complete the blanks below : 100 × 0 ; 01= ::: ; 325 × 0 ; 01= ::: ; 1503 × 0 ; 01= ::: https://chingmath.fr sacados/11806 chapExoCorrec/3567 sacados/3567 chapExoCorrec/2757 sacados/2757 chapExoCorrec/3566 sacados/3566 chapExoCorrec/10748 sacados/10748 chapExoCorrec/9907 sacados/9907 chapExoCorrec/9904 sacados/9904 chapExoCorrec/9900 sacados/9900 chapExoCorrec/9909 sacados/9909 chapExoCorrec/7870 sacados/7870 chapExoCorrec/10315 sacados/10315
MilliersMillièmesCentainesDizainesMilliersCentainesDizainesUnitésDixièmesCentièmesMillièmesDixCent1000001000010001001010,10,010,0010,00010,00001 E.10793 Consider the table of units below : 1 Place sixty-one thousandths in the table. Give the value of : 61 × 0.001 = : : : 2 Place one thousand three hundred seventeen tenths in the table. Give the value of : 3117 × 0.1 = : : : 3 Place forty-four hundredths in the table. Give the value of : 44 × 0.01 = : : : 4 Complete the following sentence : ˇ To multiply by 0.1, 0.01, 0.001, move the decimal point to the . . . . . . of . . . . . . , . . . . . . , . . . . . . ranks ı 4. Elementary procedure: multiplication by 0.1; 0.01; 0.001 E.6271 Using mental arithmetic, perform the following calculations : a 32 × 0.1 b 5.1 × 0.1 c 124 × 0.01 d 89.1 × 0.1 e 431.4 × 0.01 f 8741.4 × 0.001 E.9917 Using mental arithmetic, perform the following calculations : a 54.2 × 0.01 b 0.002 × 0.1 c 25.45 × 0.001 d 56 × 0.001 e 0.542 × 0.01 f 17 × 0.001 E.1529 The results of the calculations be-low have had their commas removed. Copy these calculations, adding the correct comma to the results. a 153.352 × 0.01 = 153352 b 29.57 × 0.001 = 2957 c 359.576 × 0.1 = 359576 d 56.34 × 0.001 = 5632 E.1542 Complete the following calculations correctly: a 54.67 × = 0.5467 b 21.34 × = 2.134 c 34 × = 3400 d 982.5 × = 0.9825 E.9918 Complete the following equations correctly: a 37.82 × = 378.2 b 12 × = 0.12 c 9.698 × = 9698 d 4.325 × = 432.5 5. Introduction to decimal multiplication E.2282 1 Perform the following operations : a (3.6 × 10) × (7.3 × 10) b (4.32 × 100) × (9.2 × 10) 2 From the previous question, deduce the results of the following calculations : a 3.6 × 7.3 b 4.32 × 9.2 E.1538 We give the result of the calculation below : 2 451 × 527 = 1 291 677 Without performing the operation, give the result of the fol-lowing calculations : a 24.51 × 527 b 24 510 × 5 270 c 245.1 × 52.7 d 24.51 × 5.27 e 245.1 × 5 270 f 24.51 × 5 270 E.1539 Given that 2941 × 67 = 197 047 and without showing the calculation, give the result of the follow-ing multiplications: a 29 ; 41 × 6 ; 7 b 2 ; 941 × 0 ; 67 c 2941 × 670 d 0 ; 2941 × 6700 E.1526 Knowing that 26 × 344=8944 and without asking the operation, give the result of each of these multiplications: a 2.6 × 344 b 2.6 × 3.44 c 0.026 × 344 d 2.6 × 0.344 e 0.26 × 0.344 6. Multiplications of decimal numbers https://chingmath.fr chapExoCorrec/10793 sacados/10793 MilliersMillièmesCentainesDizainesMilliersCentainesDizainesUnitésDixièmesCentièmesMillièmesDixCent1000001000010001001010,10,010,0010,00010,00001 chapExoCorrec/6271 sacados/6271 chapExoCorrec/9917 sacados/9917 chapExoCorrec/1529 sacados/1529 chapExoCorrec/1542 sacados/1542 chapExoCorrec/9918 sacados/9918 chapExoCorrec/2282 sacados/2282 chapExoCorrec/1538 sacados/1538 chapExoCorrec/1539 sacados/1539 chapExoCorrec/1526 sacados/1526
E.1537 Here is a student’s work. Copy the calculations and correct them if necessary : E.9925 Place and perform the following mul-tiplications: a 34.1 × 6 b 25 × 0.47 c 156.2 × 67 E.10786 Perform the following multiplica-tions : a 3 × 1.2 b 4 × 1.04 c 7 × 2.2 E.1527 Put and perform the following mul-tiplications: a 0.3 × 0.4 b 8.4 × 2.3 c 3.7 × 9.6 E.9924 Place and perform the following mul- tiplications: a 37.81 × 60.4 b 25.45 × 3.07 c 435.45 × 32.6 E.9921 Among the following calculations, find the intru : a 3.15 × 0.7 b 31.5 × 0.07 c 0.0315 × 70 d 0.00315 × 7 E.10883 Put and perform the following mul-tiplications: a 15.4 × 3.8 b 8.87 × 2.5 c 19.2 × 3.7 E.9931 Place and perform the following mul-tiplications: a 0.04 × 295 b 12345 × 2.2 c 92 × 78.47 E.10392 Place and perform the following multiplications: a 34.1 × 25.3 b 86.3 × 0.97 7. Addition or multiplication of several terms E.1540 Using mental arithmetic, perform the following multiplications: A 13.1 × 0.5 × 4 b 1.25 × 8 × 7 c 0.25 × 5.1 × 4 d 7.5 × 3 × 2 Hint: factors will be grouped together in a clever way to make calculations easier. E.1536 Using mental arithmetic, perform the following multiplications: a 3.6 × 4 × 2.5 b 0.5 × 3.75 × 20 c 8 × 0.75 × 3 × 4 d 25 × 2.5 × 4 E.2318 Using mental arithmetic, perform the following multiplications: A 0.1 × 4 × 3.71 × 2.5 b 4 × 2.1 × 2.5 × 3 c 15 × 0.1 × 4 × 3 d 2.4 × 0.2 × 2 × 5 E.9923 Using mental math, perform the following operations : a 13 + 55 + 45 + 77 b 5 × 3 ; 76 × 0 ; 4 × 0 ; 01 8. Order of magnitude E.6615 For each calculation, three answers are proposed ; only one is correct. Give the correct answer in each case : a b c d 1 32.4 × 74.3 2412.43 243.32 243.33 2407.32 2 561.73 235.2 326.53 32.53 325.12 33.82 3 0.98 × 32.4 31.752 31.834 125.242 123.254 Hint: to determine the correct answer, we can use an or-der of magnitude of the value of the calculation but also the properties of the operations. E.3637 For each calculation three answers are proposed ; only one is correct. Give the correct answer in each case : Response a Response b Response c Response d 987.7 × 2.2 217.92 2171.92 2172.94 217.94 387.78+615.1 1002.88 10 002.78 1002.87 10 001.87 152.4 × 3.9 594.36 854.46 412.36 746.66 Hint: To determine the correct answer, one can use an or-der of magnitude of the value of the calculation but also the properties of the operations. https://chingmath.fr chapExoCorrec/1537 sacados/1537 chapExoCorrec/9925 sacados/9925 chapExoCorrec/10786 sacados/10786 chapExoCorrec/1527 sacados/1527 chapExoCorrec/9924 sacados/9924 chapExoCorrec/9921 sacados/9921 chapExoCorrec/10883 sacados/10883 chapExoCorrec/9931 sacados/9931 chapExoCorrec/10392 sacados/10392 chapExoCorrec/1540 sacados/1540 chapExoCorrec/1536 sacados/1536 chapExoCorrec/2318 sacados/2318 chapExoCorrec/9923 sacados/9923 chapExoCorrec/6615 sacados/6615 chapExoCorrec/3637 sacados/3637
E.1530 For each question, give the answer corresponding to the result of the calculation. a 53.45 + 345.505 b 47.9 × 102.01 c 134.2 × 0.96 d 75.64 × 1.12 Réponse 1 Réponse 2 Réponse 3 Réponse 4 a 399 398.96 398.955 398.91 b 484.352 4743.23 4884.279 473.23 c 142.131 128.832 14.131 14.832 d 84.7168 72.2512 722.2512 842.7168 E.9920 For each operation below, give the associated answer in the table. Do not perform the calculation, use orders of magni- tude,etc. . . a 108.6 + 35.23 + 415.34 b 314 × 42 × 0.11 c 3783.52 + 84.2 + 285.34 d 3.6 × 5.4 × 2.33 Réponse 1 Réponse 2 Réponse 3 Réponse 4 a 561.23 559.17 55.17 56.23 b 145.68 1450.68 1 452.68 1450.64 c 4153.06 415.306 4153.02 415.02 d 45.2952 45.292 45.22 45.2 E.9919 George goes to the market and buys 4 lots of yogurt at 2.80 e each and three kilos of meat at 12.1 e = kg . Give an order of magnitude for George’s purchases. 9. Addition, subtraction, multiplication E.1532 Install and perform the following operations : a 152.73 19.744 b 521.04 × 0.82 E.9927 Install and perform the following operations : a 74.34 45.951 b 3.75 × 32.4 E.1541 Perform the following calculations : A 37.2 × 9.2 b 135.42 58.34 c 0.062 × 6.7 d 34.54 + 55.48 E.1525 Install and perform the following operations : a 64.35 + 157.37 b 354.12 × 12 c 465.3 94.29 d 2.45 × 5.6 E.9928 Install and perform the following operations : a 31.86 22.07 b 4.653 3.963 c 117 × 22.9 d 16.74 × 5.01 E.9930 Install and perform the following operations : a 261.64 127.68 b 27.24 + 541.35 c 78.5 × 23 d 9.204 × 1.25 E.1531 Install and perform the following operations : a 137.34 + 92.2 + 63.81 b 35.24 × 25.1 E.9926 Install and perform the following operations : a 78.65 + 49.76 + 102.06 b 8.204 × 0.202 E.10345 Install and perform the following operations : a 3.57 + 18.18 b 427.16 59.07 c 3.17 × 0.54 E.10349 Install and perform the following operations : a 62.9 + 39.22 b 846.26 671.5 c 47.7 × 0.37 E.2317 The calculations below have had some of its digits and commas erased. Copy and complete these operations : a 3 . .,. 4 + 2 7 . 1 . . 2 2 9 2 b 4 5 .,0 . - . 3 7 . 2 1 9 . 9 1 c .,5 3 × . . 1 . . 2 + . . 6 .,4 . . 10. Problems E.9954 Nadine buys 1.5 kg worth of meat at the neighborhood market. Meat costs 97.7 $ per kilogram. What is the price of the meat purchased by Nadine? https://chingmath.fr chapExoCorrec/1530 sacados/1530 chapExoCorrec/9920 sacados/9920 chapExoCorrec/9919 sacados/9919 chapExoCorrec/1532 sacados/1532 chapExoCorrec/9927 sacados/9927 chapExoCorrec/1541 sacados/1541 chapExoCorrec/1525 sacados/1525 chapExoCorrec/9928 sacados/9928 chapExoCorrec/9930 sacados/9930 chapExoCorrec/1531 sacados/1531 chapExoCorrec/9926 sacados/9926 chapExoCorrec/10345 sacados/10345 chapExoCorrec/10349 sacados/10349 chapExoCorrec/2317 sacados/2317 chapExoCorrec/9954 sacados/9954
E.9953 A kilogram of mango is 7.42 e . Edéa buys 2.4 kg of mango. What is the price of the mangoes pur-chased? E.1543 Stores Auprès offer a 600 g block of foie gras at 29.2 e per kilogram. Give the price of this block of foie gras? E.10350 To make a cake, Aissata has to go back to the supermarket to buy 3 egg and 1.4 kg flour. For this, she only takes a bill from 10 e on her. Knowing that eggs are sold at 0.65 e each and that flour is sold at 0.35 e per kilogram, determine the sum with which she will return from the supermarket. E.9932 The stores Auprès offers a 600 g block of foie gras at 29.2 e per kilogram. Give the price of this block of foie gras? E.10346 A produce store sells avocados for 2.34 e each and 1.30 e per kilogram of green beans. Paul goes shopping at this store with 10 e in his pocket. He buys 2 avocados and 600 grams of green beans. How much does he have left when he gets home? E.9956 Arthur decides to save money. He plans to put 2.50 e per month into his piggy bank. Give the amount he will have saved in 4 years. E.10884 Aline retrieves an old 128 Mo USB stick. She deletes all the contents of the key and places on it: 6 photos, each of which is 1.4 Mo , 4 videos, each of which is 4.6 Mo . How much free space will this USB stick have after all these files have been placed on it? E.10885 Matthias wants to make a big pumpkin soup. To do so, he needs : 2.4 kilograms of pumpkin 1.5 kilograms of potatoes. Here is the information he finds on the website of the super-market near his home : Starting with 20 e at the supermarket, determine how much money he will have left after buying the pumpkin and pota-toes for his soup. E.6289 1 Light travels through space with a speed of 300 000 km = s and takes 8 minutes to travel the distance from the Sun to the Earth. Determine the measurement of the Earth-Sun distance. 2 Light takes 1.3 s to travel the distance Moon-Earth. Give the measure of this distance. E.6581 We consider the following two cal-culation programs : Program A Choose a number. Multiply it by 3 . Then add 2 . Display the result Program B Choose a number. Subtract 1 from it. Then multiply by 2 . Then add 6 . Display the result 1 If the chosen number is 4 , what are the numbers dis-played by each of these calculation programs? 2 If the chosen number is 2 , what are the numbers dis-played by each of these calculation programs? 11. Other basic procedures E.7871 Using mental arithmetic, perform the following multiplications: A 14 × 5 b 32 × 5 c 4 × 25 d 7 × 25 e 4 × 50 f 19 × 50 E.7872 Using mental arithmetic, perform the following multiplications: a 12 × 0.5 b 37 × 0.5 c 6.6 × 0.5 d 40 × 0.5 e 61 × 0.5 f 1.4 × 0.5 12. Multiplication by 10, 100, ... and 0.1 , 0.01 , ... E.10886 Perform the following calculations : a 14.5 × 0.01 b 35.9 × 100 c 0.032 × 0.01 13. Succession of operations https://chingmath.fr chapExoCorrec/9953 sacados/9953 chapExoCorrec/1543 sacados/1543 chapExoCorrec/10350 sacados/10350 chapExoCorrec/9932 sacados/9932 chapExoCorrec/10346 sacados/10346 chapExoCorrec/9956 sacados/9956 chapExoCorrec/10884 sacados/10884 chapExoCorrec/10885 sacados/10885 chapExoCorrec/6289 sacados/6289 chapExoCorrec/6581 sacados/6581 chapExoCorrec/7871 sacados/7871 chapExoCorrec/7872 sacados/7872 chapExoCorrec/10886 sacados/10886
qb5a aA=1+(3×=1+=bB=(5×+(3×=+= cC=2+(2××3=2+×3=×3=dD=252×(2+3)=252×=25= E.7886 Method : When a calculation involves several operations, it must be written out step by step in order to : keep track of the value of the calculation at all times, show each step of the reasoning. This video presents a ˇ calculation method ı to be used as an example for all questions in this exercise Perform the following operations, respecting the order of op-erations : a 2 × 4 + 5 × 6 b 2 × 4 + 5 × 3 c 2 × 4 + 5 × 6 d 2 × 4 + 5 × 6 E.7894 Complete the blanks to ˇ drive ı your calculations to the result : E.5598 Perform the calculations below, ob-serving the priority of the parentheses : a 15 (2 × 3) b (5 2) × 11 c (11 9) × (9 + 5) d 3 × (2 + 4) 14. Problems with sequence of operations E.1533 1 Bruno goes to the Halles market with a ticket from 5 e . He buys 520 g of strawberries at 3.14 e per kg. Determine the amount Bruno goes home with. Directions: we will use the value approximated by excess of the price of the strawberries to the nearest cent. 2 Which expression directly answers the previous question? a 0.52 × 3.14 5 b 5 0.52 × 3.14 c 520 × 3.14 5 d 5 520 × 3.14 E.6318 1 a Jeanne wants to surround her vegetable garden with a wire mesh to protect her vegetables from small ro-dents. Going online, she finds a wire mesh fence cost-ing 2.1 e = m . She measures around her vegetable garden and gets a perimeter of 4.7 m . How much is it going to cost her to buy the fence? b Since her vegetable garden is rectangular in shape, she wants to add a post to the four corners of the garden. These posts have a unit price of 0.6 e . What is the total price of this fence? 2 What expression is used to obtain the total price of this fence? a 2.1 + 4.7 + 4 + 0.6 b 2.1 × 4 + 0.6 × 4.7 c 4.7 + 4 × 2.1 + 0.6 d 2.1 × 4.7 + 0.6 × 4 E.5599 1 Otapi is a magazine for teens that appears 22 times a year at a price of 4.95 e per copy. The magazine offers 19.10 e off any one-year subscrip-tion. What is the subscription price for 1 year? 2 Which of the expressions below gives the price of the 1-year subscription? a 19.10 4.95 × 22 b 4.95 × 22 19.10 c 19.10 4.95 × 22 d 19.10 + 4.95 + 22 E.1534 Martine goes to the market with a 20 e . bill She buys only 2.4 kilos of pears. The price of pears being 3.2 e per kilo. 1 Write an expression using parentheses to determine how much money he has left when he exits the market. 2 Perform this calculation. 15. Unclassified exercises E.9933 Emily goes downtown with 150 e to shop during the sale period. She buys a pair of pants for 45.50 e and a sweater for 27.60 e . How much money does he have left when he gets back from his shopping? E.9955 François decides to fill 25 bottles of 15 c‘ with a perfume. Knowing that a liter of this perfume costs 35 $. 1 How many bottles of 1 perfume, does Francis, need to buy? 2 What is the total purchase price of the perfume? https://chingmath.fr chapExoCorrec/7886 sacados/7886 qb5a chapExoCorrec/7894 sacados/7894 fichierPlus/7894/ aA=1+(3×=1+=bB=(5×+(3×=+= cC=2+(2××3=2+×3=×3=dD=252×(2+3)=252×=25= chapExoCorrec/5598 sacados/5598 chapExoCorrec/1533 sacados/1533 chapExoCorrec/6318 sacados/6318 chapExoCorrec/5599 sacados/5599 chapExoCorrec/1534 sacados/1534 chapExoCorrec/9933 sacados/9933 chapExoCorrec/9955 sacados/9955