Grade 7 / Priority of operations 93 exercises (including 92 corrected)

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OpérationRésultatOpérandesAdditionSommeTermesSoustractionDi∑érenceTermesMultiplicationProduitFacteursDivisionQuotientDividende et diviseur 6cm2cm4cm1cm ChingQuizz : 10 exercises available for Quizz assessment : 1. Mental calculation E.6466 Using mental arithmetic, perform the following calculations : a 3 × 8 b 12 − 7 c 12 × 3 d 16 ÷ 4 e 13 + 18 f 7 × 6 g 39 ÷ 3 h 24 − 8 E.6467 Using mental arithmetic, perform the following calculations : a 25 − : : : = 14 b 3 × : : : = 21 c : : : ÷ 3 = 15 d 17 + : : : = 35 e 12 × : : : = 60 f 5 + : : : = 12 2. Vocabulary and calculation with parentheses E.10663 Vocabulary : The table below lists vocabulary related to the four basic operations : Consider the calculation: A = 5 × 3 + 10 − 4 1 Using the words sum , difference , product , quotient , term , factor , dividend , divisor , complete the sen-tence : ˇ The calculation A is . . . . . . . . . . . . . . . du . . . . . . . . . . . . . . . 15 and . . . . . . . . . . . . . . . 6 . ı 2 The value of A is : A = : : : : : : E.10664 Consider the calculation: A = 25 ÷ 5 × 5 − 2 × 2 1 Using the words sum , différence , produit , quotient , term , factor , dividende , diviseur , complete the sen-tence : ˇ The A calculation is . . . . . . . . . . . . . . . from . . . . . . . . . . . . . . . 5 and . . . . . . . . . . . . . . . 1 . ı 2 The value of A is : A = : : : : : : E.10665 Consider the calculation: A = 12 × 6 ÷ 4 + 5 1 Using the words sum , différence , produit , quotient , term , factor , dividende , diviseur , complete the sen-tence : ˇ The calculation A is . . . . . . . . . . . . . . . of the . . . . . . . . . . . . . . . 72 by the . . . . . . . . . . . . . . . 9 . ı 2 The value of A is : A = : : : : : : E.10667 Each of the operations below con-sists of 2 operations. Indicate the first operation performed and the last operation performed in order to ˇ perform ı this calculation, as well as its value : Calculation Priority operation Last operation Value 3 + 5 × 4 (15 + 3) ÷ 6 67 − (8 × 3) E.10666 Consider the following operations : a 15 − (3 × 4) × (64 ÷ 8) b 5 + 14) − 2 × (15 − 7) c 24 − 24 − (5 × 4) − 3 d 100 ÷ (36 ÷ 12) − 1 1 For each of the above calculations, specify their type from among sum , difference , product , quotient . 2 Perform each of these calculations. 3. Problems: mobilizing operations E.10669 Consider the figure composed of two rectangles of dimensions 8 cm × 4 cm and 2 cm × 1 cm . https://chingmath.fr chapExoCorrec/6466 sacados/6466 chapExoCorrec/6467 sacados/6467 chapExoCorrec/10663 sacados/10663 OpérationRésultatOpérandesAdditionSommeTermesSoustractionDi∑érenceTermesMultiplicationProduitFacteursDivisionQuotientDividende et diviseur chapExoCorrec/10664 sacados/10664 chapExoCorrec/10665 sacados/10665 chapExoCorrec/10667 sacados/10667 chapExoCorrec/10666 sacados/10666 chapExoCorrec/10669 sacados/10669 6cm2cm4cm1cm
ABCDEFM5cm ABCDEFG2cm7cm5cm4cm 5;5cm1;5cm3cm2cm aA=1+(3×=1+=bB=(5×+(3×=+= Which of the calculations below is used to calculate the hatched area of the figure : a 6 + 2 × 4 − 2 × 1 b 6 + 2 × 4 − 1 c 4 × 6 + 2 − 2 × 1 d 6 × 1 × 2 + 4 E.10668 The figure below is made up of the two squares ABCD and BCEF with sides 5 cm and the point M belonging to the segment [ CD ] . Which of the calculations below represents the area of the hatched part : a 5 + 5 ÷ 2 × 5 b 5 ÷ 2 + 5 × 5 c 5 × 5) + 5 × 5 ÷ 2 d 5 + 5 ÷ 2 × 5 E.6500 The figure below consists of two rectangles ABCD and BEFG : 1 Determine the total area of this figure. Records will be left of the reasoning used. 2 Write an expression using the data in the statement whose value is the area of this figure. E.5708 The figure below is composed of two rectangles : 1 Determine the measure of the area of the hatched portion shown in the figure above. 2 Write an expression using the data in the statement whose value is the area of the hatched portion. E.1316 In a supermarket, the price of a kilo-gram of carrots costs 3.2 e . Buying 1.2 kilograms of carrots and 2.5 kilograms of beef, a customer pays 58.84 e . 1 Without justification, determine the price per kilogram of beef. 2 Write a single expression, using the data in the statement, expressing the price of a kilogram of meat. E.1317 A Mexican student receives his tele-phone bill amounting to 342 $ (the local currency is the peso) . The monthly subscription is 167 $ and the price of a minute’s call is 1.5 $ . 1 Without justification, determine the number of call min-utes billed in this invoice. 2 Write a single expression, using the data in the statement, expressing the number of minutes of communication by the student during the month of May. E.1339 Georges went to the supermarket taking with him 10 e . In this supermarket, the price of a kilogram of orange is 1.52 e . Buying three bottles of water and three kilograms of orange, he leaves the supermarket with 3.46 e . 1 Without justification, give the price of a bottle of water. 2 Write a single expression, using the data in the statement, expressing the price of a bottle of water. E.1315 There are 20 spools of identical wire available to fence a rectangular-shaped garden where the length measures 150 m and its width 77 m . After fencing off the entire garden, there’s still 46 m of unused wire. 1 Without justification, give the length of each of these coils of wire. 2 Write a single expression, using the data in the statement, expressing the length of a coil of wire. 4. Conducting a calculation E.1337 In order to carry out the proposed calculations correctly, complete the dotted lines : https://chingmath.fr chapExoCorrec/10668 sacados/10668 ABCDEFM5cm chapExoCorrec/6500 sacados/6500 ABCDEFG2cm7cm5cm4cm chapExoCorrec/5708 sacados/5708 5;5cm1;5cm3cm2cm chapExoCorrec/1316 sacados/1316 chapExoCorrec/1317 sacados/1317 chapExoCorrec/1339 sacados/1339 chapExoCorrec/1315 sacados/1315 chapExoCorrec/1337 sacados/1337 aA=1+(3×=1+=bB=(5×+(3×=+=
cC=(5×-(3×=-=dD=(3×+(3×=+= aA=14-(6×−2=14-−2=−2=bB=1310−(2×=1310−=13= aA=2+(2××3=2+×3=×3=bB=25−2×(2+3)=25−2×=25−= E.6469 In order to carry out the proposed calculations correctly, complete the blanks : E.10018 In order to carry out the proposed calculations correctly, complete the blanks : E.1186 Using the priority of the parentheses, perform the calculations below : a 23 − (5 × 2) b (5 + 4) × (9 − 7) c 75 − (2 × 3) d (18 − 12) × 3 Hint: we will write the intermediate calculation steps indi-cating the adopted calculation conduct. E.1187 Respecting the priority of the brack-ets and brackets, perform the calculations below : A (3 + 2) × 4 − 2 b (5 + 4) ÷ (5 × 2) − 7 c (7 × 3) − 2 × 2 d (7 + 3) × 2 + 3 Hint: intermediate computational steps will be written in-dicating the computational conduct adopted. E.10019 Respecting the priority of the brack-ets and brackets, perform the calculations below : a 10 − 19 − 4 × 3 b 2 × 4 − 7 − 5 × 3 c 7 − 8 − 2 + 3 d 35 − 7 + 3 × 6 − 2 Hint: intermediate computational steps will be written in-dicating the computational conduct adopted. E.6534 Respecting the priority of the brack-ets and brackets, perform the calculations below : a 10 − 19 − (4 × 3) b 2 × 7 − 5 × 3 c 35 − 7 + (3 × 6 − 2 d 35 − 7 + (3 × 6 − 2 Hint: we will write the intermediate calculation steps indi-cating the adopted calculation conduct. E.10715 Respecting the order of priority of parentheses and brackets, perform the calculations below : a 54 − 5 × (23 − 13 + 4 b 3 + (4 × 2 × 5 − 3 Note: Write down the intermediate steps of the calculation, indicating the calculation method used. E.6465 Here are some calculations con-ducted by a student : Although the results are correct, there are a few errors in his writing. Copy and correct, if necessary, the conduct of these calculations. 5. Two operations and brackets E.1738 Proposition: Here are the priorities of operations to be applied to correctly conduct calculations : If a calculation contains parentheses then sub-calculations present within the parentheses are per-formed first. If a calculation contains multiplication/division and addition/subtraction then multiplication/division is performed first If a calculation contains only multiplication/division then we perform the operations from right to left. If a calculation contains only addition/subtraction then operations are performed from left to right. Example : let’s consider the two calculations : A = 4 × 2 − 5 ; B = 17 − 3 × 3 ; C = 5 × 5 − 3 Respecting the priority of operations and in each of these calculations, each operation is assigned an order of execu-tion indicated above it: A = 4 1 × 2 2 − 5 ; B = 17 2 − 3 1 × 3 ; C = 5 2 × 5 1 − 3 For each question :: recopy the calculation, indicating the order of execution of each of its operations then conduct the calculation correctly. a 2 × 3 + 7 b 3 + 2 × 5 c 8 − 2 × 4 d (2 + 3) × 7 https://chingmath.fr cC=(5×-(3×=-=dD=(3×+(3×=+= chapExoCorrec/6469 sacados/6469 aA=14-(6×−2=14-−2=−2=bB=1310−(2×=1310−=13= chapExoCorrec/10018 sacados/10018 aA=2+(2××3=2+×3=×3=bB=25−2×(2+3)=25−2×=25−= chapExoCorrec/1186 sacados/1186 chapExoCorrec/1187 sacados/1187 chapExoCorrec/10019 sacados/10019 chapExoCorrec/6534 sacados/6534 chapExoCorrec/10715 sacados/10715 chapExoCorrec/6465 sacados/6465 chapExoCorrec/1738 sacados/1738
E.10029 Here are some calculations and their proposed results : A 2 × 5 − 3 = 7 b 12 − 3 × 3 = 27 c 2 + 5 × 3 = 21 d 5 × 3 + 2 = 17 Of the questions, indicate which ones propose a false result and explain the error that was made. E.8801 Respecting the priorities of the oper-ations and letting the steps of your calculation conduct, per-form the calculations : A 3 + 4 × 5 b 70 − 3 × 7 c 12 − 12 ÷ 4 d 30 − 3 × 4 E.1161 Respecting the priorities of the oper-ations and letting the steps of your calculation conduct, per-form the calculations : A 28 + 12 × 100 b 120 ÷ (65 − 25) c 30 − 3 × 2 d 24 ÷ 3 − 2 E.10716 Respecting the priorities of the op-erations and leaving the steps of your calculation conduct, perform the calculations : a 17 − 7 × 2 b 3 × 12 − 2 E.10028 Respecting the priorities of the op-erations and letting the steps of your calculation conduct, per-form the calculations : a 7 − 2 × 3 b 12 × 2 − 2 c 18 − 2 × 7 d 25 + 5 × 4 E.6533 Respecting the priorities of the oper-ations and letting the steps of your calculation conduct, per-form the calculations : a 12 − 3 × 2 b 12 − 5 + 5 c 3 × 3 + 5 × 2 d 13 × 2 − 2 E.1162 Respecting the priorities of the oper-ations and letting the steps of your calculation conduct, per-form the calculations : a 3 + 5 × 4 b 18 ÷ 6 + 3 c 13 + 15 ÷ 3 d 6 × 9 + 5 E.1163 Respecting the priorities of the oper- ations and letting the steps of your calculation conduct, per-form the calculations : A 7 × (8 + 12) b 58 − (15 + 25) c 20 + 3.78 × 1000 d 20 − 5 × 3 E.10020 Respecting the priorities of opera-tions and using mental arithmetic, indicate the result of each of the calculations below : A 15 × 2 − 4 = : : : b 3 + 2 × 6 = : : : c 2 × 6 + 3 = : : : d 6 + 15 ÷ 3 = : : : E.1188 Respecting the priorities of opera-tions and using mental arithmetic, indicate the result of each of the calculations below : A 2 + 5 × 3 = : : : b (3 + 2) × 6 = : : : c (15 + 3) ÷ 6 = : : : d 3 × 5 + 2 = : : : E.10021 Respecting the priorities of opera-tions and using mental arithmetic, indicate the result of each of the calculations below : A 3 + (2 × 6) = : : : b 6 − 6 ÷ 2 = : : : c 2 × 2 − 2 = : : : d 8 − 2 × 3 = : : : E.675 For each calculation, circle the answer of your choice : a b c 1 3 × 4 − 3 9 8 3 2 12 − 5 × 2 14 2 8 3 2 × 3 + 4 × 5 60 50 26 4 7 × (5 − 2) 33 21 15 E.1173 Copy each of the following opera-tions, adding brackets if necessary to verify equality: A 35 + 2 × 3 = 41 b 7 − 4 − 1 = 4 c 3 × 2 + 12 = 42 d 3 + 2 × 5 − 1 = 20 E.1168 For each of the equalities below, the mathematical signs (operative sign and parentheses) have been removed ; copy the following equalities adding, if neces-sary, the missing signs : a 6...3...5 = 21 b 24...6...3 = 7 c 2...3...4 = 20 6. Addition and subtraction E.10024 Respecting the prioriities of the operations, perform the calculations below : A 34 − 15 − 10 b 32 − 15 − 5 c 32 − 4 + 6 − 4 d 12 − 5 − 5 E.11240 Following the order of priority, per-form the following operations : a 20 − 13 − 3 + 15 − 3 − 3 b 60 ÷ 5 × 3 ÷ 3 ÷ 3 E.10717 Perform the following calculations, leaving a record of your calculation conduct : a 5 × 9 ÷ 15 × 2 b 17 − 6 − 6 + 5 https://chingmath.fr chapExoCorrec/10029 sacados/10029 chapExoCorrec/8801 sacados/8801 chapExoCorrec/1161 sacados/1161 chapExoCorrec/10716 sacados/10716 chapExoCorrec/10028 sacados/10028 chapExoCorrec/6533 sacados/6533 chapExoCorrec/1162 sacados/1162 chapExoCorrec/1163 sacados/1163 chapExoCorrec/10020 sacados/10020 chapExoCorrec/1188 sacados/1188 chapExoCorrec/10021 sacados/10021 chapExoCorrec/675 sacados/675 chapExoCorrec/1173 sacados/1173 chapExoCorrec/1168 sacados/1168 chapExoCorrec/10024 sacados/10024 chapExoCorrec/11240 sacados/11240 chapExoCorrec/10717 sacados/10717
E.10025 Respecting the prioriities of the operations, perform the calculations below : a 39 − 7 + 2 − 8 b 80 − (2 + 4) c 13 − 5 − 32 − 27 d 17 − 9 − 4 + 2 7. Several operations E.1189 Below are calculations, all correct, from one student : For each computational conduct, indicate the first operation performed by the student and the rule of ˇ priorities of opera-tions ı used. E.1164 For each question :: Recopy the calculation, indicating the order of execution of each of its operations. then conduct the calculation correctly. a 3 × 100 + 7 × 10 b (15 − 8) × (8 − 3) c (12 − 8) × (2 + 3) d 3 × 5 + 6 × 4 E.1172 For each question : recopy the calculation, indicating the order of execution of each of its operations then conduct the calculation correctly. a 3 × 12 − 7 × 3 b (2 + 3 × 4) × (20 − 5) E.1165 Respecting the priorities of the oper-ations and letting the steps of your calculation conduct, per-form the calculations : a 5 × 3 − 3 × 4 b 5 × 4 − 2 × 4 c 3 × 5 + 6 × 4 d 2 + 3 × 7 − 3 E.6499 Respecting the priorities of the oper-ations and letting the steps of your calculation conduct, per-form the calculations : a 20 + 2 × (5 − 3) b 15 − 10 × 19 − 6 × 3 c 2 + 3 × (5 + 4) d 2 × 3 + 4 × 3 + 2 E.10022 Respecting the priorities of the op-erations and letting the steps of your calculation conduct, per-form the calculations : a 3 × (3 + 10) + 2 × 10 b (6 + 3) × (16 − 7) − 3 × 7 c 3 × (3 × 6 + 2 − 6) d 3 × 5 − 4 − 3 × 5 + 2 E.10027 Respecting the priorities of the op-erations and letting the steps of your calculation conduct, per-form the calculations : a 2 × 3 − 2 + 5 × 2 − 2 b 23 − 5 × 2 + 2 × 5 c 2 × 7 − 4 × 2 + 3 × 5 d 17 − 2 × 8 − 3 × 3 E.6518 Respecting the priorities of the oper-ations and letting the steps of your calculation conduct, per-form the calculations : a 12 − 2 × 4 × 3 + 2 b 75 − 3 + 2 × 2 + 2 × 4 c 4 × 1.5 × 2 − 3 + 4 d 3 × (16 ÷ 4 + 1) − 2 E.10026 Respecting the priorities of the op-erations and letting the steps of your calculation conduct, per-form the calculations : a 2 × (0.3 × 100 + 3) − 2 × 3 b 52 − (15 × 2 − 10) c 2 × 4 × 5 − 3 + 4 d 3 × 4 − 5 × 2 − 2 × 0.5 E.10718 Respecting the priorities of the op-erations and leaving the steps of your calculation conduct, perform the calculations : a 3 × 13 − 7 × 4 b 2 + 3 × 4 × 2 + 2 c 26 − (3 + 5 × 3) − 4 × 12 − 5 × 2 E.1174 Respecting the priorities of the oper-ations and letting the steps of your calculation conduct, per-form the calculations : a (2+4) × 0.5 × 2 + 4 b (46 − 8 × 5 − 6) × (15 × 32+4) c 3 + 2 × (9 − 4) × (3 + 2) d (2 + 3) × 2 + 1 × 2 − 4 E.1788 Respecting the priorities of the operations and letting the steps of your calculation con-duct, perform the calculations : a 13 − 2 × 15 − 8 − 3 b 3 + 2 × (8 − 6) × 3 − 10 c 15 − 2 − 2 + 2 × 15 ÷ 3 + 24 ÷ 12 8. Recognizing terms and factors https://chingmath.fr chapExoCorrec/10025 sacados/10025 chapExoCorrec/1189 sacados/1189 chapExoCorrec/1164 sacados/1164 chapExoCorrec/1172 sacados/1172 chapExoCorrec/1165 sacados/1165 chapExoCorrec/6499 sacados/6499 chapExoCorrec/10022 sacados/10022 chapExoCorrec/10027 sacados/10027 chapExoCorrec/6518 sacados/6518 chapExoCorrec/10026 sacados/10026 chapExoCorrec/10718 sacados/10718 chapExoCorrec/1174 sacados/1174 chapExoCorrec/1788 sacados/1788 Calcul mental
2;15×1;46×(2 64−8×7 11×5×4−13 ×9Lequotientdelasommede14etde8par9÷9Lasommede8etduproduitde9et14.9−Leproduitde9,14et89Ladi∑érencede9parlasommede14et8×14Lasommede8etduquotientde14par99×14×8Leproduitdelasommede14et8par9 E.11304 Consider the following four expres-sions : a 2 × 3 + 4 b 2 + 3 × 4 c 3 × (2 + 3 d 5 + 3 × 4 1 Name an expression in which 2 is a term. 2 Give an expression in which 2 is a factor. 3 Give an expression in which 5 is a factor. 4 Give an expression in which 12 is a term. E.1166 Example: consider the two calculations below : we have underlined the two terms of the first calcula-tion ; we circled the two factors of the second calculation. For each of the calculations shown below : underline each of the terms of these two calculations ; circle each of the factors in these two calculations. a 3 × 5 + 2 b (5 + 1) × 2 E.10719 For each of the calculations shown below : underline each term in these two calculations ; circle each factor in these two calculations. a b E.10030 For each calculation, specify all factors and terms : a 3 × (8 − 3) b 2 × 3 + 5 × 7 E.10031 1 Name the terms of the following two expressions : 3 + 6 × 2 ; 2 + 4 × 3 2 Name the factors of the following two expressions : 3 × 2 + 4 ; 4 + 1 × 5 E.10034 For each of the calculations pre-sented below : underline each of the terms in these two calculations ; circle each of the factors in these two calculations. a 2 × 3 + 4 × 5 b (1 + 4) × (4 + 2) 9. Around the vocabulary E.1198 Translate the sentences into a calcu-lation and then perform the calculation: a The sum of four and seventeen. b The product of twenty-three by three. E.1190 Link each calculation to the corre-sponding sentence : E.11283 1 Consider the calculation: 4 + 3 × 5 a Perform this calculation. b Translate this calculation into a sentence using the words " term "," product ". 2 Translate the following sentence into a calculation, then perform this calculation: The sum of the product of three and five and the quotient of sixteen and four. E.10023 a A student states ˇ Two times three plus five is sixteen ı. Write the calculation performed by the student. b A student states ˇ Five plus three times two is eleven ı. Write the calculation performed by the student. E.11303 Write out the following calculations in words using the terms sum , difference , product , and quo-tient : a 24 − 6 ÷ 8 b 3 + 5 × 4 E.5718 Translate the following sentences into a calculation and then perform the calculation: a The sum of four and the product of two by seventeen. b The product of thirteen and the sum of two and three. https://chingmath.fr chapExoCorrec/11304 sacados/11304 chapExoCorrec/1166 sacados/1166 2;15×1;46×(2 chapExoCorrec/10719 sacados/10719 64−8×7 11×5×4−13 chapExoCorrec/10030 sacados/10030 chapExoCorrec/10031 sacados/10031 chapExoCorrec/10034 sacados/10034 chapExoCorrec/1198 sacados/1198 chapExoCorrec/1190 sacados/1190 ×9Lequotientdelasommede14etde8par9÷9Lasommede8etduproduitde9et14.9−Leproduitde9,14et89Ladi∑érencede9parlasommede14et8×14Lasommede8etduquotientde14par99×14×8Leproduitdelasommede14et8par9 chapExoCorrec/11283 sacados/11283 chapExoCorrec/10023 sacados/10023 chapExoCorrec/11303 sacados/11303 chapExoCorrec/5718 sacados/5718
ABCDEFGH ABCDEFGHIJ4cm6cm2;5cm E.1167 Translate each of the following calcu-lations into a French sentence using the words sum , product and difference : a 12 × 3 + 5 b (3 + 7) × 4 E.1789 Translate the following calculations into a sentence using the words sum , difference , product : A 15 − 3 × 2 b (5 + 3) × 4 E.10713 Consider the calculation: A = 14 × 2 − 5 + 2 × 8 1 Using the words sum , différence , produit , quotient , term , factor , dividende , diviseur , complete the sen-tence : ˇ The A calculation is . . . . . . . . . . . . . . . from . . . . . . . . . . . . . . . 28 and . . . . . . . . . . . . . . . 21 . ı 2 The value of A is : A = : : : : : : E.10032 Translate each of the sentences into a calculation and then perform the calculation: a The product of the sum of five and four by the difference of nine by four. b The sum of the product of two and seven and the quotient of thirty-six by four. E.10033 Translate each of the following cal-culations into a French sentence using the words sum , product and difference : a (2 + 1) × (7 + 4) b 3 × 4 + 2 × 5 10. Problems: choosing an expression E.1184 Catherine has been shopping in a supermarket and shows part of her receipt below : One loaf 1.50 e Four chicken thighs 8.00 e Three kilos of beans 12.00 e Using this ticket, six of his friends thought about the price of their next purchases. Here are the calculations they made : Miguel: 12 ÷ 3 René : 4 × 1.5 + 8 Robert : 2 × 1.5 + 12 ÷ 3 Denise : (1.5 + 8) × 2 André : 8 ÷ 2 + 4 × 1.5 + 12 Gisèle: 8 ÷ 2 Indicate, for each of his friends, the contents of their next errands. E.1185 The figure below consists of the three rectangles ABGH , BCFG and CDEF such that : AH =4 cm ; AB = CD =2 cm ; BC =7 cm Some of the expressions below represent either the perimeter or the area of one of the rectangles in the figure. Specify, if possible, how these expressions relate to the rectangles in the figure : a (2 + 7) × 4 b 2 × 7 + 2 × 4 c 4 × 4 d (2 + 7 + 2 + 4) × 2 e (7 + 2 × 2) × 4 E.1183 The figure below is composed only of rectangle. Each of the expressions below is either the perimeter or the area of one of the rectangles shown above. Specify the meaning of each of these expressions in relation to the rectangles in the figure. A 4 × (6 + 2.5) b (6 + 2.5 × 2) × 4 c 6 + 2.5 × 3 d 2.5 × 3 × 4 e 4 × (6 + 2.5 × 3) f 6 × 4 + 2.5 × 4 g (6 + 2.5 × 3 + 4) × 2 11. Problems: producing an expression E.5640 Below are two calculation programs : Programme A Perform the sum of 5 and 3 Multiply the previous result by 2 . Add 7 to the previous result. Programme B Effectuer the product of 4 by 2 . Ajouter 5 to previous re-sult. Multiply the previous re-sult by 3 . https://chingmath.fr chapExoCorrec/1167 sacados/1167 chapExoCorrec/1789 sacados/1789 chapExoCorrec/10713 sacados/10713 chapExoCorrec/10032 sacados/10032 chapExoCorrec/10033 sacados/10033 chapExoCorrec/1184 sacados/1184 chapExoCorrec/1185 sacados/1185 ABCDEFGH chapExoCorrec/1183 sacados/1183 ABCDEFGHIJ4cm6cm2;5cm chapExoCorrec/5640 sacados/5640
AgdeMarseillanSèteMirevalMontpellierNîmes27kmMireval42kmMontpellierAgde11km54kmNîmesSète30km ABCDIJKLM4;2cm2;5cm1;5cm8cm ABCDIJKLM5cm1cm2cm7cm est un multiple de2510407548147 est un multiple de25104256165 1 Give the value obtained by each of these calculation pro-grams. 2 For each calculation program and using the numbers in the statement, write a single expression whose value is the value of the calculation program. E.6723 A road in southern France through 6 towns is shown below : Living in Sète, Léo wishes to join Bintou in Mireval. Using the information on the diagram, what is the distance between them? E.1171 For each of the following questions, propose a problem whose solution is expressed by each of the following expressions : A 3 + 4 × 2 b (5 + 3) × 3 E.11301 Noura goes to the market with 40 euros. She buys 3 ; 5 kilograms of oranges at 1 ; 98 e per kilogram and 1 ; 5 kilograms of meat. She returns from the market with 7 ; 27 euros. 1 Determine the price of one kilogram of meat. Show the steps in your reasoning. 2 Using the values in the statement, write a single expres-sion giving the price per kilogram of meat. E.10721 For an activity in Physics class, the teacher needs to buy for each of his 28 students 1 ; 25 e chemicals and two bags of protective equipment at 0.68 e per bag. 1 Produce an expression taking the data from the state-ment and representing the total purchases made by the teacher. 2 Perform the previous calculation, leaving traces of your calculation conduct. E.10720 Consider the figure below composed of three rectangles : ABCD , DILM , CIMJ 1 a Write a single expression, using the data in the state-ment, to obtain the area of the shaded region in this figure. b Calculate the expression in question a to obtain the area of the shaded region. 2 Without justification, give the area of the white part of this figure? E.11300 Consider the figure below composed of three rectangles : ABCD , DILM , CIMJ 1 Calculate the area of the shaded part, showing your steps. 2 Write an expression using only the values given in the statement and giving the area of the shaded part. 12. Criteria for Divisibility by 3 and 9 E.11745 In the table below, indicate the numbers in the first column that are multiples of the numbers in the first row : E.11746 In the table below, indicate the num-bers in the first column that are multiples of the numbers in the first row : https://chingmath.fr chapExoCorrec/6723 sacados/6723 AgdeMarseillanSèteMirevalMontpellierNîmes27kmMireval42kmMontpellierAgde11km54kmNîmesSète30km chapExoCorrec/1171 sacados/1171 chapExoCorrec/11301 sacados/11301 chapExoCorrec/10721 sacados/10721 chapExoCorrec/10720 sacados/10720 ABCDIJKLM4;2cm2;5cm1;5cm8cm chapExoCorrec/11300 sacados/11300 ABCDIJKLM5cm1cm2cm7cm sacados/11745 est un multiple de2510407548147 chapExoCorrec/11746 sacados/11746 est un multiple de25104256165
E.2356 1 State the criterion of divisibility by 3. 2 Which of the integers below are divisible by 3: a 1 251 b 3 456 c 971 d 94 378 e 555 555 E.2397 Complete the table with crosses to indicate whether the integers shown are divisible by 2, 3, 5, 9. Entiers 123 504 205 1433 2430 Divisible by 2 Divisible by 3 Divisible by 5 Divisible by 9 E.6650 Complete the table with crosses to indicate whether the integers shown are divisible by 2 , 3 , 5 , 9 . Entiers 224 279 1860 294 91919 Divisible by 2 Divisible by 3 Divisible by 5 Divisible by 9 E.2853 Complete the table with crosses to indicate whether the integers shown are divisible by 2, 3, 5, 9. Entiers 525 345 702 1155 Divisible by 2 Divisible by 3 Divisible by 5 Divisible by 9 E.1565 Consider the following integers : 54 ; 123 ; 35 ; 48 ; 1221 ; 10035 ; 6 Among the above integers, list: 1 all integers that are multiples of 2 . 2 all integers that are multiples of 3 . 3 all integers divisible by 5 . 4 all integers divisible by 9 . 13. Unclassified exercises E.2602 Write the calculation that corresponds to each of these sentences, then give their values : The sum of the product of three by two and five. The product of three by the sum of two and five. E.1836 Perform the following calculations : A (3 × 4 − 8) × (5 − 2 × 2) × 3 b 20 − (2 × 3 + 1) × 2 − 5 E.7895 Perform the following calculations and mark the result below : A 15 × 2 − 4 = : : : b 3 + 2 × 6 = : : : c 2 × 6 + 3 = : : : d 6 + 15 ÷ 3 = : : : e 3 + (2 × 6) = : : : f 6 − 6 ÷ 2 = : : : E.9952 Perform the following calculations and mark the result below : A 2 + 5 × 3 = : : : b (3 + 2) × 6 = : : : c (15 + 3) ÷ 6 = : : : d 3 × 5 + 2 = : : : https://chingmath.fr chapExoCorrec/2356 sacados/2356 chapExoCorrec/2397 sacados/2397 chapExoCorrec/6650 sacados/6650 chapExoCorrec/2853 sacados/2853 chapExoCorrec/1565 sacados/1565 chapExoCorrec/2602 sacados/2602 chapExoCorrec/1836 sacados/1836 chapExoCorrec/7895 sacados/7895 chapExoCorrec/9952 sacados/9952