Solve 0.845+0.0592/2lg0.001

$$0.845 + \frac { 0.0592 } { 2 } \lg 0.001$$

Evaluate

$$0.7562$$

Solution Steps

Expand \frac{0.0592}{2} by multiplying both numerator and the denominator by 10000.

$$0.845+\frac{592}{20000}\log(0.001)$$

Reduce the fraction \frac{592}{20000} to lowest terms by extracting and canceling out 16.

$$0.845+\frac{37}{1250}\log(0.001)$$

The common logarithm of 0.001 is -3.

$$0.845+\frac{37}{1250}\left(-3\right)$$

Multiply \frac{37}{1250} and -3 to get -\frac{111}{1250}.

$$0.845-\frac{111}{1250}$$

Subtract \frac{111}{1250} from 0.845 to get \frac{3781}{5000}.

$$\frac{3781}{5000}$$

Factor

$$\frac{19 \cdot 199}{2 ^ {3} \cdot 5 ^ {4}} = 0.7562$$