what is the absolute value of 8/9

Mathematics · Middle School · Sun Jan 24 2021

Answered on

Given the fraction:

8/9

Determine the absolute value.

Solution::

The absolute value of a fraction refer to its exact value in terms of a positive integer, hence this means that the absolute value of a negative number will become positive if it is enclosed with an absolute value sign ||. In the case of the given, we can represent it as a decimal first, then enclose it with an absolute value sign. In order to change a fraction to decimal,  simply divide the numerator with the denominator.

= 8/9

= 0.8888..

The answer is repeating, hence we can represent it with either a repeating word enclosed with a parenthesis, a dash or an ellipsis. In our case we will represent with an ellipsis.

= | 0.888… |

= 0.888…

Final answer:

= 0.888…