# How do you write 0.0052 in scientific notation?

Apr 8, 2016

$0.0052$ in scientific notation is $5.2$$\times$${10}^{-} 3$

#### Explanation:

$5.2$$\times$${10}^{-} 3$ is $0.0052$ in scientific notation because

${10}^{-} 3$$=$$- 1000$ and $0.0052$$\times$$1000$$=$$5.2$

$5.2$$\times$$- 1000$$=$$0.0052$

$5.2$$\times$${10}^{-} 3$$=$$0.0052$

When numbers are put into scientific notation, the number should only have $1$ whole number and the other digits are in the decimal system, that's why $0.0052$ in scientific notation is $5.2$$\times$${10}^{-} 3$.

Apr 8, 2016

$5.2 \times {10}^{- 3}$

#### Explanation:

"0.0052 xx 10/10 = (0.0052xx10)/10 = 0.052/10

"0.0052 xx 100/100 = (0.0052xx100)/100 = 0.52/100

"0.0052 xx 1000/1000 = (0.0052xx1000)/1000 = color(blue)(5.2/1000)

But $\frac{1}{1000} = {10}^{- 3}$

so $\textcolor{b l u e}{\frac{5.2}{1000}} \textcolor{red}{= 5.2 \times {10}^{- 3}}$