# How do you write -1/8 as a decimal?

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Sep 18, 2017

#### Answer:

$- \frac{1}{8} = - 0.125$

#### Explanation:

Decimals can be negative or positive. In this case it will be negative.

Find an equivalent fraction with a denominator of a power of 10.
In this case we will use $1000$

$- \frac{1}{8} \times \frac{125}{125} = - \frac{125}{1000}$

This can now be written as a decimal with 3 decimal places (because we have thousandths.)

$- \frac{125}{1000} = - 0.125$

Another method is to divide: $- 1 \div 8$

$\text{ } - 8 | \underline{{1.0}^{2} {0}^{4} 0}$
$= \text{ } - 0.1 \textcolor{w h i t e}{.} 2 \textcolor{w h i t e}{.} 5$

It is a huge advantage to know some of the more common fractions, decimals and percents by heart. These include the 'eighths'

$\frac{1}{8} = 0.125 \text{ "3/8 = 0.375" "5/8 = 0.625" } \frac{7}{8} = 0.875$

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