Question Video: Converting the Absolute Value of Fractions to Decimals

Write |−2 1/2| as a decimal.

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Video Transcript

Write the absolute value of negative two and a half as a decimal.

The absolute value or modulus function measures the distance of a number from zero. To work out the absolute value of negative two and a half, we need to work out how far away from zero negative two and a half is. Negative two and a half plus two and a half is equal to zero. This means that the absolute value of negative two and a half is two and a half. This means that the absolute value of a negative integer will be the same as the absolute value of the same positive integer.

For example, the absolute value of negative four is four. And the absolute value of four is also four. Both of these integers are four away from zero. We were asked to write our answer as a decimal. We know that one-half is equal to 0.5. This means that two and a half is the same as 2.5. The absolute value of negative two and a half written as a decimal is 2.5.

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