Solve 5(1.7-10^-8)/2*10^-4

$$\frac { 5 ( 1.7 - 10 ^ { - 8 } ) } { 2 \times 10 ^ { - 4 } }$$

Evaluate

$$42499.99975$$

Solution Steps

Calculate 10 to the power of -8 and get \frac{1}{100000000}.

$$\frac{5\left(1.7-\frac{1}{100000000}\right)}{2\times 10^{-4}}$$

Subtract \frac{1}{100000000} from 1.7 to get \frac{169999999}{100000000}.

$$\frac{5\times \frac{169999999}{100000000}}{2\times 10^{-4}}$$

Multiply 5 and \frac{169999999}{100000000} to get \frac{169999999}{20000000}.

$$\frac{\frac{169999999}{20000000}}{2\times 10^{-4}}$$

Calculate 10 to the power of -4 and get \frac{1}{10000}.

$$\frac{\frac{169999999}{20000000}}{2\times \frac{1}{10000}}$$

Multiply 2 and \frac{1}{10000} to get \frac{1}{5000}.

$$\frac{\frac{169999999}{20000000}}{\frac{1}{5000}}$$

Divide \frac{169999999}{20000000} by \frac{1}{5000} by multiplying \frac{169999999}{20000000} by the reciprocal of \frac{1}{5000}.

$$\frac{169999999}{20000000}\times 5000$$

Multiply \frac{169999999}{20000000} and 5000 to get \frac{169999999}{4000}.

$$\frac{169999999}{4000}$$

Factor

$$\frac{13 \cdot 13076923}{2 ^ {5} \cdot 5 ^ {3}} = 42499\frac{3999}{4000} = 42499.99975$$