Réponse :
^ signifie puissance
Explications étape par étape
ex43:
a. 100 x 10^3 = 10^2 x 10^3 = 10^(2+3) = 10^5
b. 10 x 0.001 = 10 x 10^(-3) = 10^(1-3) = 10^(-2)
c. 10^(-2) x 0.0001 = 10^(-2) x 10^(-4)= 10^(-2-4) = 10^(-6)
ex44
a. 100 / 10^5 = 10^2 x 10^(-5) = 10^(2-5) = 10^(-7)
b. 10^(-2) / 10000 = 10^(-2) x 10^(-4) = 10^(-6)
c. 1 / 0.001 = 1 / 10^(-3) = 1 x 10^(-(-3)) = 10^3
d. 0.0001 / 10^(-2) = 10^(-4) / 10^(-2) = 10^(-4-(-2)) = 10^(-2)
ex45
a. 10^3 x 10^3 x 10^3 x 10^3 = 10^(3+3+3+3) = 10^12
b. (100^2)^4 = ((10^2)^2)^4 = 10^(2 x 2 x 4) = 10^16
ex46:
a. 0.01 / 10^8 = 10^(-2) / 10^8 = 10^(-2-8) = 10^(-10)
b. 10^(-5) / 0.001 = 10^(-5) / 10^(-3) = 10^(-5-(-3)) = 10^(-2)
c. 100 / 10^7 = 10^2 / 10^7 = 10^(2-7) = 10^(-5)
ex47:
a. 1000 x 10^7 = 10^3 x 10^7 = 10^10
b. 0.0001 x 10^(-4) = 10^(-4) x 10^(-4)= 10^(-8)
j'espère avoir aidé.
