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The absolute value of a number is its distance from 0 on the number line. Since distance is always greater than or equal to 0, the absolute value of any number is greater than or equal to 0.
|9| = |- 9|
We want to complete the given statement. To do so, we will evaluate the absolute values on both sides.
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|9| |- 9| |
The absolute value of a number is the distance between this number and 0 on the number line. Since distance is always greater than or equal to 0, the absolute value of any number is greater than or equal to 0. The absolute value of a non-negative number is equal to the number, while the absolute value of a negative number is equal to its opposite.
With this in mind, let's simplify the given numbers! ccc |9|= 9 [0.4em] |- 9|= 9 We found that these two numbers are actually equal to each other! Finally, we can complete our statement.
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|9| = |- 9| |