# How do you write 10^-3 in decimal form?

Jun 7, 2018

$0.001$ through rewriting the expression in scientific notation

#### Explanation:

We can rewrite the expression as

$1 \cdot {10}^{-} 3$

This is in scientific notation. Since we have a negative exponent, we loop the decimal three times to the left. We get

$0.001$

Hope this helps!

Jun 7, 2018

$0.001$

#### Explanation:

Using the laws of indices we can rewrite ${10}^{-} 3$ in the form of the fraction $\frac{1}{10} ^ 3$

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

Decimals are fractions written with powers of $10$

$\frac{1}{1000}$ means $3$ decimal places.

${10}^{-} 3 = \frac{1}{10} ^ 3 = \frac{1}{1000} = 0.001$