# Square of 0.0005?

May 12, 2018

$0.00000025$

#### Explanation:

To find ${0.0005}^{2}$ multiply $0.0005 \times 0.0005$

$0 \textcolor{red}{.000} 5 \times 0 \textcolor{red}{.000} 5 = 0 \textcolor{red}{.000000} 25$

In the first expression, you have 6 zeros in total before the 5's, so you would put them as placeholders in the answer, and then
$5 \times 5 = 25$ so now you have $0 \textcolor{red}{.000000} 25$

May 12, 2018

If the decimal is giving you a problem use this method:

$0.00000025$

#### Explanation:

The question is asking for a small part of a small part. So the answer will be less than the original value.

Set $y = {\left(0.0005\right)}^{2}$

But 0.0005 is the same as $5 \times \frac{1}{10 , 000}$

$y = {\left(0.0005\right)}^{2} = {\left(5\right)}^{2} \times {\left(\frac{1}{10 , 000}\right)}^{2}$

$y = 25 \times \frac{1}{100 , 000 , 000}$

$y = 0.00000025$

As fraction this is $\frac{1}{4000000}$

$\textcolor{b r o w n}{\text{However, the question uses decimal notation. So with no}}$$\textcolor{b r o w n}{\text{instruction otherwise you use the same format as the question.}}$

$y = 0.00000025$