Solve (8.5*10^-3*302)-1*10^-8/8.5*10^-3

$$\frac { ( 8.5 \times 10 ^ { - 3 } \times 302 ) - 1 \times 10 ^ { - 8 } } { 8.5 \times 10 ^ { - 3 } }$$

Evaluate

$$\frac{256699999}{850000}\approx 301.999998824$$

Solution Steps

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{8.5\times \frac{1}{1000}\times 302-1\times 10^{-8}}{8.5\times 10^{-3}}$$

Multiply 8.5 and \frac{1}{1000} to get \frac{17}{2000}.

$$\frac{\frac{17}{2000}\times 302-1\times 10^{-8}}{8.5\times 10^{-3}}$$

Multiply \frac{17}{2000} and 302 to get \frac{2567}{1000}.

$$\frac{\frac{2567}{1000}-1\times 10^{-8}}{8.5\times 10^{-3}}$$

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

$$\frac{\frac{2567}{1000}-1\times \frac{1}{100000000}}{8.5\times 10^{-3}}$$

Multiply 1 and \frac{1}{100000000} to get \frac{1}{100000000}.

$$\frac{\frac{2567}{1000}-\frac{1}{100000000}}{8.5\times 10^{-3}}$$

Subtract \frac{1}{100000000} from \frac{2567}{1000} to get \frac{256699999}{100000000}.

$$\frac{\frac{256699999}{100000000}}{8.5\times 10^{-3}}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{\frac{256699999}{100000000}}{8.5\times \frac{1}{1000}}$$

Multiply 8.5 and \frac{1}{1000} to get \frac{17}{2000}.

$$\frac{\frac{256699999}{100000000}}{\frac{17}{2000}}$$

Divide \frac{256699999}{100000000} by \frac{17}{2000} by multiplying \frac{256699999}{100000000} by the reciprocal of \frac{17}{2000}.

$$\frac{256699999}{100000000}\times \frac{2000}{17}$$

Multiply \frac{256699999}{100000000} and \frac{2000}{17} to get \frac{256699999}{850000}.

$$\frac{256699999}{850000}$$

Factor

$$\frac{103 \cdot 227 \cdot 10979}{17 \cdot 2 ^ {4} \cdot 5 ^ {5}} = 301\frac{849999}{850000} = 301.99999882352944$$