Bonsoir, vous pouvez m’aidez svp ? Merci d’avance Calculer les expressions suivantes (en détaillant les étapes) A=(-5)+((-4)x(-2)+(+7)) B=(-4)x(-2)x(-3)-(-3)x(-

Réponse :

A = (-5) + ((-4)x(-2)+(+7))

A = -5 + (8 + 7) = -5 + 15 + 10

B = (-4)x(-2)x(-3)-(-3)x(-2)

B = -24 - 6 = - 30

C = (+6) - (-9) + (-3)x((-5)x(-2) - 3)

C = 6 + 9 - 21 = -6

D = 7/5x1/2 - 3/10x3/4

D = 7/10 - 9/40 = (4x7)/(4x10) - 9/40 = 28/40 - 9/40 = 19/40

E = (3/2 - 5/4)x2/3 - (7/6 - 1

E = ((3x2)/(2x2) - 5/4)x2/3 - ((7/6) - 6/6))

E = (6/4 - 5/4)x 2/3 - 1/6

E = (1/4)x2/3 - 1/6 = 2/12 - (1x2)/(6x2) = 2/12 - 2/12 = 0

F = (9/4 - 1/2) + 3/2 + 1/3(7/2 - 2)

F = ((9/4) - (1x2)/(2x2)) + (3x2)/(2x2) + 1/3(7/2 - 4/2)

F = (9/4 - 2/4) + 6/4 + 1/3(3/2)

F = 7/4 + 6/4 + 3/6 = 13/4 + 3/6 = ((13x6)/(4x6)) + ((3x4)/(6x4)) =

78/24 + 12/24 = 90/24 = (3x30)/(3x8) = 30/8 = (2x15)/(2x4) = 15/4

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