# What is the value of the expression 0.08div0.02?

Apr 22, 2018

$4$

#### Explanation:

Given: $0.08 \div 0.02$

$0.08 = \frac{8}{100}$

$0.02 = \frac{2}{100}$

$0.08 \div 0.02 = \frac{8}{100} \div \frac{2}{100}$

We can change a division problem into a multiplication problem by multiplying the first term by the reciprocal of the second term:

$\frac{8}{100} \div \frac{2}{100} = \frac{8}{100} \cdot \frac{100}{2}$

We can cancel/reduce:

$\frac{8}{\cancel{100}} \cdot \frac{\cancel{100}}{2} = \frac{8}{2} = 4$