Answer:
| -8 1/2 | < | -9 1/2 |
Explanation:
To find the absolute value of a number, we ignore the sign and take the value of the number itself.
For example, the absolute value of -10 is 10 and the absolute value of +10 is 10
Similarly, the absolute value of 2 is 2, because 2 is 2 units away from zero on the number line.
The absolute value of a number is represented by enclosing the number in a pair of vertical bars
Thus absolute value of -10 can be represented by | - 10 | and this works out to 10
Absolute value of - 8 1/2 => | -8 1/2 | = 8 1/2
Absolute value of - 9 1/2 => | -9 1/2 | = 9 1/2
Comparison of these two values can be done using one of the following symbols
< less than
≤ less than equal-to
> greater than
≥ greater than equal-to
= equal-to
Since 8 1/2 is less than 9 1/2, we can state that the absolute value of - 8 1/2 is less than the absolute value of - 9 1/2 which can be written mathematically as
| -8 1/2 | < | -9 1/2 |