# What is 16.2 divided by 0.002?

May 3, 2018

If the decimal point is giving you a problem do this

8100

#### Explanation:

$0.002 = 0.02 \times \frac{1}{10}$

$0.002 = 0.2 \textcolor{w h i t e}{\text{d}} \times \frac{1}{10} \times \frac{1}{10}$

$0.002 = 2.0 \textcolor{w h i t e}{\text{d}} \times \frac{1}{10} \times \frac{1}{10} \times \frac{1}{10}$

$0.002 = 2 \times \frac{1}{1000}$
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So $16.2 \div 0.002 \textcolor{w h i t e}{\text{ddd}}$ is the same as

$\textcolor{w h i t e}{\text{ddd}} 16.2 \div 2 \div \frac{1}{1000}$

$\textcolor{w h i t e}{\text{dddd}} 8.1 \div \frac{1}{1000}$

$\textcolor{w h i t e}{\text{dddd}} 8.1 \times \frac{1000}{1} = 8100$

May 3, 2018

$8 , 100$

#### Explanation:

The division by the decimal is the biggest problem here.

Luckily we can get rid of the decimal by multiplying by a power of $10$. We need to multiply it by $1000$

However, we need to multiply the top and bottom by the same number, which is the same as multiplication by $\textcolor{b l u e}{1}$

$\frac{16.2}{0.002} \textcolor{b l u e}{\times \frac{1000}{1000}} = \frac{16200}{2} \text{ } \leftarrow$ dividing by a whole number

$\frac{16200}{2} = 8 , 100$