Outside the middle school program / Elementary operations with decimals 40 exercises (100% corrected)

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1. Decimal division: rounded to the nearest or rounded up by default E.1584 Perform the following divisions to obtain the default approximate value, rounded to the nearest hundredth, of their quotients : a 215 ÷ 7 b 72 ÷ 7 E.1598 Perform the following divisions to obtain values approximated to the nearest tenth of their quo-tients : A 158 ÷ 7 b 125.7 ÷ 5 E.2433 Perform the following divisions to obtain the nearest hundredth of the following quotients : a 105.5 ÷ 7 b 94 ÷ 3 E.1580 1 Place the divisions below to obtain the value of the quo-tient to the hundredth : a 204.57 ÷ 6 b 100.265 ÷ 5 2 a Give the frame of each quotient to the nearest tenth. b Give the default approximate value to the nearest tenth of each quotient. E.9947 Place the following divisions in order to obtain the approximate value to the nearest hundredth of their quotients : a 128.1 ÷ 16 b 80.97 ÷ 16 E.9948 Perform the following divisions to obtain the value approximated to the tenth of their quotients : A 8.84 ÷ 21 b 192.97 ÷ 16 E.9951 1 Place the following divisions to obtain the quotient value to the hundredth : a 315 ÷ 17 b 43 ÷ 17 2 a Give the square of each quotient to the nearest tenth. b Give the value approximated to the nearest tenth of each of these quotients. E.10430 1 Put down the division of 227 by 7 to get the quotient up to the thousandth. 2 Give the frame to the nearest hundredth of this quotient. 3 Give the value approximated to the nearest hundredth of the division of 227 by 7 . E.3872 1 Perform the following decimal divisions to the hun-dredth : A = 458 ÷ 12 ; B = 39 ÷ 0.7 2 Copy and complete the following table : Valeurs approchées par défaut Valeurs approchées par excès À l’unité Au dixième À l’unité Au tenth A B E.1581 1 Perform the exact division of 31.26 by 1.6 . 2 Give the value approximated by excess to the nearest unit of the quotient. 3 Give the default approximate value to the nearest tenth of the quotient. E.1582 1 Give a framework to the nearest tenth of the following numbers : 5.651 ; 0.246 ; 12.291 ; 7.34 2 a Give the default approximate value to the nearest tenth of 5.651 and 7.34 . b Give the value approximated by excess to the nearest tenth of 12.291 and 0.246 . 3 a Determine the value approximated to the nearest tenth of the quotient 7 ÷ 3 . b Determine the value approximated by default to the nearest thousandth of the quotient 10 ÷ 6 . 2. Division by 0.1 E.2389 1 a How many tenths fit into 1? b How many tenths fit into 15.2? c How many hundredths fit into 1? d How many hundredths fit into 2.6? 2 Give the quotient of the following divisions : a 1 ÷ 0.1 b 15.2 ÷ 0.1 c 1 ÷ 0.01 d 2.6 ÷ 0.01 e 12.3 ÷ 0.1 f 7.6 ÷ 0.01 E.1600 Calculate the following divisions in your head : A 32 ÷ 10 b 351 ÷ 100 c 21 ÷ 0.1 d 254 ÷ 0.01 e 2.54 ÷ 0.1 f 35.25 ÷ 100 E.1588 Copy the calculations and do them in your head : a 15.2 ÷ 10 b 0.02 × 0.01 c 78.54 × 100 d 984 ÷ 1000 e 61 × 20 f 32.4 × 0.2 g 44.4 ÷ 0.2 h 15.57 ÷ 0.001 https://chingmath.fr chapExoCorrec/1584 sacados/1584 chapExoCorrec/1598 sacados/1598 chapExoCorrec/2433 sacados/2433 chapExoCorrec/1580 sacados/1580 chapExoCorrec/9947 sacados/9947 chapExoCorrec/9948 sacados/9948 chapExoCorrec/9951 sacados/9951 chapExoCorrec/10430 sacados/10430 chapExoCorrec/3872 sacados/3872 chapExoCorrec/1581 sacados/1581 chapExoCorrec/1582 sacados/1582 chapExoCorrec/2389 sacados/2389 chapExoCorrec/1600 sacados/1600 chapExoCorrec/1588 sacados/1588
E.1601 Perform the following calculations in your head : a 24.5 ÷ 10 b 2.154 × 100 c 650 ÷ 0.1 d 5.45 × 1 e 0.01 × 0.1 f 2.154 ÷ 100 g 0.5 ÷ 0.0001 h 0.024 × 100000 E.1587 Perform the following calculations in your head : a 3.51 × 10 b 0.15 × 0.1 c 6.71 ÷ 10 d 7.5 ÷ 0.1 e 32.4 × 100 f 0.45 × 0.01 g 785 ÷ 0.01 h 53 ÷ 100 E.1312 Perform the following divisions : A 5.4 ÷ 0.1 b 12 ÷ 0.01 c 0.32 ÷ 0.1 d 710.4 ÷ 0.001 e 0.1 ÷ 0.1 f 57 ÷ 0.001 3. Decimal divisor E.6376 1 a How many times does the number 0.3 fit into 1.2 ? b Give the divisions giving the same result : 1.2 ÷ 0.3 ; 1.2 ÷ 3 ; 12 ÷ 3 ; 120 ÷ 3 2 a How many times does the number 0.25 fit into 1 ? b Give the divisions giving the same result : 1 ÷ 0.25 ; 1 ÷ 25 ; 10 ÷ 25 ; 100 ÷ 25 E.1578 Perform the following decimal divisions, stopping your calculations at the hundredth. a 320.17 ÷ 16 b 513.7642 ÷ 1.6 E.2388 Perform the following decimal divisions, determining the quotient to the hundredth, then give the de-fault approximate value of the quotient to the nearest tenth : A 254 ÷ 1.3 b 0.51 ÷ 0.06 c 32.1 ÷ 2.1 E.2399 Perform the following decimal divisions, determining the quotient to the hundredth. Then give the approximate value of each of these quotients to the nearest tenth. A 516 ÷ 7 b 4 ÷ 1.3 c 5.6 ÷ 0.17 E.2855 Consider the two numbers A and B de-fined by: A = 376 ÷ 6 ; B = 35 ÷ 0.8 1 Place each of these divisions to obtain the quotient up to the thousandths digit. 2 Determine the approximate default value of the two pre-ceding quotients to the nearest unit, then to the nearest tenth. 4. Problems with decimal divisors E.1564 A wine merchant buys 922 000 F a bar-rel of 225 liters of wine. He wishes to sell this wine in 0.75 -liter bottles. An empty bottle costs 150 F ; A cork costs 110 F . The trader wants to make a profit of 320 000 F on his entire sale. How much should he sell each bottle of wine for? E.1589 1 Invent two problems using calculus : 242 ÷ 22 2 A shopkeeper offers trois TShirt for 54 e ou five TShirt for 95 e . Which offer is the most attractive? 3 By what number must x be replaced to verify the equal-ity below : 8.1 × x = 105.3 E.1592 Jacques went to buy apples at the Merced market in Mexico City. He leaves with 3.1 kilograms of apples for 77.5 pesos. Help him find the price of a kilogram. E.1591 In the same store : 3 cans of Loca-Cola and 2 chocolate bars cost 31 $ . 2 cans of Loca-Cola and 4 chocolate bars cost 42 $ pesos. We’re going to figure out the unit price of these items : 1 How much would 6 cans of Loca-Cola and 4 chocolate bars cost? 2 Use this to figure out the price of one can and then the price of one chocolate bar. E.1590 1 Jacques went to buy apples at La Merced. He leaves with 2.25 kilograms of apples for 49.50 pesos. Give the price of one kilogram of apples. 2 Rémi realizes, when closing his bank teller, that he has exactly the same number of 1 e coins, 2 e and 5 e , plus they form an amount of 1264 e . Determine the number of each of these coins. https://chingmath.fr chapExoCorrec/1601 sacados/1601 chapExoCorrec/1587 sacados/1587 chapExoCorrec/1312 sacados/1312 chapExoCorrec/6376 sacados/6376 chapExoCorrec/1578 sacados/1578 chapExoCorrec/2388 sacados/2388 chapExoCorrec/2399 sacados/2399 chapExoCorrec/2855 sacados/2855 chapExoCorrec/1564 sacados/1564 chapExoCorrec/1589 sacados/1589 chapExoCorrec/1592 sacados/1592 chapExoCorrec/1591 sacados/1591 chapExoCorrec/1590 sacados/1590
1393418-311-928-271 5. Division: Us-math E.9630 With American notations: the posited division of 418 by 3 is writ-ten as represented opposite. This division admits : for quotient : 139 for remainder : 1 Using American notation, pose the following divisions : a 153 ÷ 4 b 4 928 ÷ 7 6. Periodic decimal division (period 1) E.10415 Definition/Notation: when dividing two integers deci-mally, it happens that a group of digits is repeated endlessly in the writing of the quotient. This division is then said to give the writing of a periodic decimal development . Instead of writing an ˇ infinity ı of times this block of digits, we write it once by highlighting it (to indicate this repeti-tion) . The decimal division of 11 by 15 admits the periodic decimal development is : 11 ÷ 15 = 0.7 3 Establish that the decimal division of 2 by 15 admits the pe-riodic decimal development : 2 ÷ 15 = 0.1 3 E.10416 Give the periodic decimal expan-sion of the decimal division of 11 by 12 . E.10457 Give the periodic decimal expan-sion of the decimal division of 13 by 18 . E.10413 Give the periodic decimal expan-sion of the decimal division of 23 by 24 . E.10455 Give the periodic decimal expan-sion of the decimal division of 11 by 96 . E.10456 Give the periodic decimal expan-sion of the decimal division of 55 by 96 . 7. Periodic decimal division E.10418 Give the periodic decimal expan-sion of the decimal division of 21 by 22 . E.10417 Give the periodic decimal expan-sion of the decimal division of 5 by 54 . E.10459 Give the periodic decimal expan-sion of the decimal division of 7 by 88 . E.10460 Give the periodic decimal expan-sion of the decimal division of 5 by 44 . E.10458 Give the periodic decimal expan-sion of the decimal division of 75 by 88 . E.10414 Give the periodic decimal expan-sion of the decimal division of 7 by 216 . https://chingmath.fr chapExoCorrec/9630 sacados/9630 1393418-311-928-271 chapExoCorrec/10415 sacados/10415 chapExoCorrec/10416 sacados/10416 chapExoCorrec/10457 sacados/10457 chapExoCorrec/10413 sacados/10413 chapExoCorrec/10455 sacados/10455 chapExoCorrec/10456 sacados/10456 chapExoCorrec/10418 sacados/10418 chapExoCorrec/10417 sacados/10417 chapExoCorrec/10459 sacados/10459 chapExoCorrec/10460 sacados/10460 chapExoCorrec/10458 sacados/10458 chapExoCorrec/10414 sacados/10414