Resolver 5(17-10^-8)/2*10^-4

$$\frac { 5 ( 17 - 10 ^ { - 8 } ) } { 2 \times 10 ^ { - 4 } }$$

Avaliar

$$\frac{1699999999}{4000}=424999,99975$$

Passos Para a Resolução

Calcule 10 elevado a -8 e obtenha \frac{1}{100000000}.

$$\frac{5\left(17-\frac{1}{100000000}\right)}{2\times 10^{-4}}$$

Subtraia \frac{1}{100000000} de 17 para obter \frac{1699999999}{100000000}.

$$\frac{5\times \frac{1699999999}{100000000}}{2\times 10^{-4}}$$

Multiplique 5 e \frac{1699999999}{100000000} para obter \frac{1699999999}{20000000}.

$$\frac{\frac{1699999999}{20000000}}{2\times 10^{-4}}$$

Calcule 10 elevado a -4 e obtenha \frac{1}{10000}.

$$\frac{\frac{1699999999}{20000000}}{2\times \frac{1}{10000}}$$

Multiplique 2 e \frac{1}{10000} para obter \frac{1}{5000}.

$$\frac{\frac{1699999999}{20000000}}{\frac{1}{5000}}$$

Divida \frac{1699999999}{20000000} por \frac{1}{5000} ao multiplicar \frac{1699999999}{20000000} pelo recíproco de \frac{1}{5000}.

$$\frac{1699999999}{20000000}\times 5000$$

Multiplique \frac{1699999999}{20000000} e 5000 para obter \frac{1699999999}{4000}.

$$\frac{1699999999}{4000}$$

Fatorizar

$$\frac{2957 \cdot 574907}{2 ^ {5} \cdot 5 ^ {3}} = 424999\frac{3999}{4000} = 424999,99975$$