Solve 0.1*(0.001div0.01)=

$$0.1 \times (0.001 \div 0.01)=$$

Evaluate

$$0.01$$

Solution Steps

Expand \frac{0.001}{0.01} by multiplying both numerator and the denominator by 1000.

$$0.1\times \frac{1}{10}$$

Convert decimal number 0.1 to fraction \frac{1}{10}.

$$\frac{1}{10}\times \frac{1}{10}$$

Multiply \frac{1}{10} times \frac{1}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{10\times 10}$$

Do the multiplications in the fraction \frac{1\times 1}{10\times 10}.

$$\frac{1}{100}$$

Factor

$$\frac{1}{2 ^ {2} \cdot 5 ^ {2}} = 0.01$$