# How do you write 0.00498 in scientific notation?

May 7, 2018

$4.98 \times {10}^{-} 3$

#### Explanation:

$4.98 \times {10}^{-} 3$

May 7, 2018

$4.98 \times {10}^{-} 3$

#### Explanation:

To change a decimal into scientific notation, move the decimal place. The number of places you move is the number you will use as the exponent of $10$:

$0 \textcolor{red}{.} 00498$

Now move the decimal place, counting how many places it moves as you go:

$0 \textcolor{red}{.} 00498$

$00 \textcolor{red}{.} 0498$ (1 space)

$000 \textcolor{red}{.} 498$ (2 spaces)

$0004 \textcolor{red}{.} 98$ (3 spaces)

The decimal was moved $3$ spaces. Since the decimal was moved to the right, you will use a negative exponent.

$\text{move to the right = negative}$
$\text{move to the left = positive}$

So use the number of spaces you moved, and make it negative:

$4.98 \times {10}^{\textcolor{b l u e}{- 3}}$

May 7, 2018

$4.98 \times {10}^{- 3}$

#### Explanation:

The number 0.00498 has to be between 1 and 10 and then it is multiplied by 10 to a power. ${10}^{- 3}$ =$\frac{1}{1000}$ so you are dividing by 1000