Justifiez que les nombres A, B, C et D sont des nombres entiers: A = (13x10^9x10^-6) /2 B = (2x10^-3x5) /10^-5 C = [15x(10^-1)^3x8] /24x10^-3

Bonsoir,

[tex]A = \dfrac{13\times10^9\times10^{-6}}{2}\\\\A = \dfrac{13\times10^{9-6}}{2}\\\\A = \dfrac{13\times10^{3}}{2}\\\\A = \dfrac{13000}{2}\\\\\boxed{A =6500}[/tex]

[tex]B = \dfrac{2\times10^{-3}\times5}{10^{-5}}\\\\B = \dfrac{10\times10^{-3}}{10^{-5}}\\\\B = \dfrac{10^{1-3}}{10^{-5}}\\\\B = \dfrac{10^{-2}}{10^{-5}}\\\\B = 10^{-2-(-5)}\\\\B = 10^{-2+5}\\\\B = 10^{3}\\\\\boxed{B=1000}[/tex]

[tex]C = \dfrac{15\times(10^{-1})^3\times8}{24\times10^{-3}}\\\\C = \dfrac{15\times8}{24}\times\dfrac{(10^{-1})^3}{10^{-3}} \\\\C = \dfrac{120}{24}\times\dfrac{10^{-1\times3}}{10^{-3}}\\\\C = 5\times\dfrac{10^{-3}}{10^{-3}}\\\\C = 5\times1\\\\\boxed{C=5}[/tex]