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

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

Calcula

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

Passos de solució

Calculeu 10 elevat a -8 per obtenir \frac{1}{100000000}.

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

Resteu 17 de \frac{1}{100000000} per obtenir \frac{1699999999}{100000000}.

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

Multipliqueu 5 per \frac{1699999999}{100000000} per obtenir \frac{1699999999}{20000000}.

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

Calculeu 10 elevat a -4 per obtenir \frac{1}{10000}.

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

Multipliqueu 2 per \frac{1}{10000} per obtenir \frac{1}{5000}.

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

Dividiu \frac{1699999999}{20000000} per \frac{1}{5000} multiplicant \frac{1699999999}{20000000} pel recíproc de \frac{1}{5000}.

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

Multipliqueu \frac{1699999999}{20000000} per 5000 per obtenir \frac{1699999999}{4000}.

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

Factoritzar

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