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How do you write 0.000123 in scientific notation?

1 Answer

Sep 3, 2016

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

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.

$0.000123 = 1.23 \times 10^{- 4}$ $0. color(red)(0001)23 = 1.23 xx 10^color(red)(-4)$

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

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

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

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

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