# How do you write 0.00467 in scientific notation?

Jan 23, 2016

In scientific notation, 0.00467 is $4.67 \times {10}^{- 3}$

#### Explanation:

Scientific notation always has a single digit in from of the decimal, followed by a power of 10.
In this case, we use negative exponents of 10, since
${10}^{- 1} = \frac{1}{10} = 0.1$
${10}^{- 2} = \frac{1}{100} = 0.01$
${10}^{- 3} = \frac{1}{1000} = 0.001$
and so on.
0.00467 is the same as $\frac{4.67}{1000}$,
and so
0.00467 is $4.67 \times {10}^{- 3}$