Outside the middle school program / Powers 10 exercises corrected

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1. Calculating with powers E.637 Simplify the following quotients : A = 3 2 × 5 2 × 11 2 3 4 × 11 ; B = 15 × 10 20 × 6 × 10 − 13 2 9 × 10 24 E.3348 Perform the following calcula-tions : a 21 × 10 − 4 × 500 × 10 2 3 0.7 × 10 8 b 4 × 10 − 2 × 9 × 10 6 6 × 10 7 × 10 2 × 10 3 2 c 15 × 10 − 3 × 7 × 10 7 5 × 10 2 d 3 × 10 2 × 1.8 × 10 − 3 6 × 10 4 e 81 × 10 3 × 6 × 10 − 10 18 × 10 − 2 f 5 × 10 − 7 × 39 × 10 4 1.3 × 10 − 5 E.11775 Simplifier l’écriture des quotients : a 45 × 10 6 3 × 10 9 b 4 × 10 5 × 3 × 10 − 8 2 × 10 11 c 5 × 10 20 × 9 × 10 − 12 2 60 × 10 24 2. Fractions and scientific notation E.641 1 Perform the following calculation: A = 16 × 10 − 5 × 3 × 10 4 24 × 10 − 3 And give the result as an integer. 2 Perform the following calculation: B = 7 × 10 15 × 8 × 10 − 8 5 × 10 − 4 And express the result using scientific writing E.631 Consider the expression : C = 2 ; 6 × 10 2 × 1 ; 7 × 10 2 0 ; 2 × 10 5 × 10 3 Give the scientific notation for C . E.3548 The following questions are independent. All calculation steps will be detailed. 1 a Calculate A = − 2 7 + 3 7 × 59 9 ÷ 25 3 and give the result as an irreducible fraction. b Is the number A obtained an integer? decimal? ratio-nal? Justify the answer. 2 Calculate B = 4 × 10 − 7 × 50 × 10 2 5 16 × 10 − 5 and give the result in scientific writing. E.2172 1 Give the scientific writing of the following number: A = 3 × 10 − 4 × 7 × 10 8 15 × 10 − 3 × 4 × 10 5 2 Give the scientific writing of the following number: B = 500 × 10 − 3 2 × 2.4 × 10 7 8 × 10 − 4 E.623 Write the following numbers in scientific notation : a 3 × 10 2 × 1 ; 2 × 10 − 5 15 × 10 2 b 32 × 10 4 × 15 × 10 − 2 2 12 × 10 6 E.1145 Perform the following calculation and write the result in scientific notation : a 15 × 10 6 × 14 × 10 − 8 7 × 10 9 b 49 × 10 5 × 16 × 10 − 4 14 × 10 − 14 E.1153 Provide the scientific notation for the number A : A = 7 × 10 15 × 8 × 10 − 8 5 × 10 − 4 https://chingmath.fr chapExoCorrec/637 sacados/637 chapExoCorrec/3348 sacados/3348 chapExoCorrec/11775 sacados/11775 chapExoCorrec/641 sacados/641 extrait de Nancy-Metz - Juin 2005 chapExoCorrec/631 sacados/631 Centres Etrangers - Juin 2004 - 4 points chapExoCorrec/3548 sacados/3548 chapExoCorrec/2172 sacados/2172 chapExoCorrec/623 sacados/623 chapExoCorrec/1145 sacados/1145 chapExoCorrec/1153 sacados/1153