Outside the middle school program / Decimal numbers 12 exercises (100% corrected)

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1. Values rounded up by default E.1475 1 a Copy the inequality below and complete appropri-ately to obtain a frame for 7.91 to the nearest unit : : : : : : : < 7.91 <: : : : : : b Give the approximate value by excess of 7.91 to the nearest unit 2 a Copy and complete the inequality to obtain the fram-ing of 5.21 to the nearest tenth : : : : : : : < 5.21 <: : : : : : b Give the default approximate value of 5.21 to the near-est tenth. 3 a Copy and complete the inequality to obtain a frame for 14.526 to the nearest hundredth : : : : : : : < 14.526 <: : : : : : b Give the default approximate value of 14.526 to the nearest hundredth. E.1494 1 a Give a framing to the unit of 3.241 b Give a frame to the tenth of 7.59 c Give a frame to the hundredth of 6.241 2 a Give the approximate value by excess of 3.241 to the nearest unit. b Give the default approximate value of 7.59 to the near-est tenth. c Give the default approximate value of 6.241 to the nearest hundredth. E.3514 1 Give the default approximate value of the number 15.78 to unity. 2 Give the excess approximate value of the number 0.57 to the tenth. 3 Give the default approximate value of the number 12.548 to the hundredth. E.6541 1 Give a frame to the nearest hundredth of the number: A = 13.496 2 a Give the default approximate value to the nearest tenth of the number: B = 7.073 b Give the value approached by excess to the nearest hundredth of the number: C = 2.243 E.1586 1 Complete the left-hand column of the table below, giving the requested frames to the nearest tenth. 2 Complete the two columns of approximate values. Valeurs approchées par excès Valeurs approchées par défaut : : : < 13.56 <: : : : : : < 3.04 < : : : : : : < 5.64 < : : : : : : < 7.001 <: : : : : : < 6.98 < : : : E.2090 1 Consider two numbers x and y whose default approxi-mate values to the hundredth are known : x 5.72 ; y 0.86 Give a frame to the nearest tenth of the two numbers x and y . 2 Consider two non-integer numbers x and y whose values, approximated in excess of a tenth, are known : x 0.4 ; y 12.3 Give a frame to the nearest tenth of the two numbers x and y . 3 Consider two numbers x and y whose approximate values rounded to the hundredth are known : x 9.31 ; y 4.78 Give a square to the nearest two hundredths of the two numbers x and y . E.2398 1 a Give a frame to the hundredth of the number: A = 5.467 b Give the approximate excess and default value of the number A to the nearest hundredth. 2 a Give a frame to the thousandth of the number: B = 102.543 1 b Give the approximate excess and default value of the number B to the nearest thousandth. 2. Approximate and rounded values E.3447 Consider the number A =3.6251 . Com-plete the table : Value of A approchée par défaut approchée par excès approchée par rounded To the tenth près To the hundredth près To the thousandth près https://chingmath.fr chapExoCorrec/1475 sacados/1475 chapExoCorrec/1494 sacados/1494 chapExoCorrec/3514 sacados/3514 chapExoCorrec/6541 sacados/6541 chapExoCorrec/1586 sacados/1586 chapExoCorrec/2090 sacados/2090 chapExoCorrec/2398 sacados/2398 chapExoCorrec/3447 sacados/3447
01234 3,43,53,63,73,8 3,593,63,613,623,63 3,6243,6253,6263,6273,628 à l’unitéprèsau dixièmeprèsau centièmeprèsau millièmeprèsValeur approchéepar défautValeur approchéepar excèsValeurarrondie 0,91,01,11,21,31,41,51,61,7 2,72,82,933,13,23,3ABC E.1478 Consider the number A =3.6251 : 1 For each of the questions below, place the number of ab-scissaS A on the proposed graduated line: a b c d 2 Complete the table below using the results from question 1 : 3. Truncation E.5667 Complete the table below : By the unité By the tenth Arrondi Troncature Arrondi Troncature 34, 53 2.08 17.14 4. Graduated lines and multiplicative decomposition E.1468 1 Give the decimal decompositions of the following decimal numbers : a 1.3 b 1.45 c 1.05 d 1.33 e 1.4 2 Place the following five points on the graduated line be-low : A (1.3) ; B (1.45) ; C (1.05) ; D (1.33) ; E (1.4) 3 Arrange the abscissae of these points in descending order. E.3512 Consider the graduated line below : 1 Give the abscissa of the points A , B , C . 2 Consider the following three points : D 3+5 × 0.01 ; E 2.97 ; F 2+(7 × 0.1)+(6 × 0.01) a Give the decimal writing of the abscissae of the points D , E and F . b Place these three points on the graduated line. 3 Arrange the abscissae of these six points in decreasing order. https://chingmath.fr chapExoCorrec/1478 sacados/1478 01234 3,43,53,63,73,8 3,593,63,613,623,63 3,6243,6253,6263,6273,628 à l’unitéprèsau dixièmeprèsau centièmeprèsau millièmeprèsValeur approchéepar défautValeur approchéepar excèsValeurarrondie chapExoCorrec/5667 sacados/5667 chapExoCorrec/1468 sacados/1468 0,91,01,11,21,31,41,51,61,7 chapExoCorrec/3512 sacados/3512 2,72,82,933,13,23,3ABC