# How do you write 0.000123 in scientific notation?

Sep 3, 2016

$1.23 \times {10}^{-} 4$

#### Explanation:

In scientific notation there must be only one digit before the decimal point. The power of 10 indicates how many times to multiply or divide by 10.

$0. \textcolor{red}{0001} 23 = 1.23 \times {10}^{\textcolor{red}{- 4}}$

We could also write the number as a fraction based on the decimal.

$0.000123 = \frac{123}{1000000} = \frac{123}{10} ^ 6 = 123 \times {10}^{-} 6$

$123 \times {10}^{-} 6 \text{ " larr " change to scientific notation}$

=$1.23 \times {10}^{-} 4$