# How do you convert 0.009 into scientific form?

May 25, 2018

$9 \cdot {10}^{-} 3$

#### Explanation:

When we want numbers in scientific notation, we want one non-zero digit before the decimal.

In our case, that means we need to put the decimal after the $9$. This means we need to loop it $\textcolor{b l u e}{3}$ times. Thus, we have

$9 \cdot {10}^{-} \textcolor{b l u e}{3}$

Where the exponent is the number of times we looped the decimal. NOTE: The exponent is negative because we looped right.

Hope this helps!

May 25, 2018

$9 \cdot {10}^{- 3}$

#### Explanation:

Make sure there is one digit left of the decimal point. Then count how many times you have to move the decimal to the left to get the given number. That's the negative of the power of $10$ you need.

In this case that would be $9$, and we have to move the decimal to the left $3$ times to get $0.009$. So our final answer is $9 \cdot {10}^{- 3}$.