Question

3 6.5.5 practice 3
calculate the value of each expression by writing the decimal factors as fractions, then writing their product as a decimal.
1.
$(0.01)(0.02)=0.000.2$
show your reasoning.
type your response below.

Explanation:

Step1: Convert decimals to fractions

$0.01 = \frac{1}{100}$, $0.02 = \frac{2}{100}$

Step2: Multiply the two fractions

$\frac{1}{100} \times \frac{2}{100} = \frac{1 \times 2}{100 \times 100} = \frac{2}{10000}$

Step3: Convert fraction to decimal

$\frac{2}{10000} = 0.0002$

Answer:

$0.0002$