# What is 0.4 divided by 0.008?

##### 1 Answer
Mar 16, 2016

$0.4 \div 0.008 = 50$

#### Explanation:

Given:$\text{ } 0.4 \div 0.008$

Write as $\text{ } \textcolor{b l u e}{\frac{0.4}{0.008}}$

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To get rid of the decimals multiply by 1 but in the form of

$\text{ } 1 = \textcolor{b r o w n}{\frac{1000}{1000}}$ giving
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$\text{ } \textcolor{b l u e}{\frac{0.4 \textcolor{b r o w n}{\times 1000}}{0.008 \textcolor{b r o w n}{\times 1000}}} \textcolor{g r e e n}{= \frac{400}{8}}$

Lets split (partition) the number to make it easier to work out in our heads

400 can be slit (partitioned) into $10 \times 40$

So we can rewrite $\textcolor{g r e e n}{\frac{400}{8}}$ as

$\text{ } \textcolor{g r e e n}{10 \times \frac{40}{8}}$

But $5 \times 8 = 40 \text{ that is: } 40 \div 8 = 5$ so we end up with

$\text{ } \textcolor{b l u e}{\textcolor{g r e e n}{10 \times 5} = 50}$