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Q: When are the absolute value and the opposite of a rational number equal?

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When the number is 0.

Yes! When the number is negative, the absolute value of it'll be its opposite.

When the numbers are negative

0

the number 0 is always equal to its opposite

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When the number is 0.

When the number is non-positive.

Yes! When the number is negative, the absolute value of it'll be its opposite.

When the numbers are negative

The absolute value of a negative number is positive.

Because that is how the opposite is defined!

0

Because the opposite of 8 for example is -8 and 8+(-8) = 0

Only if the rational number is 0.

No, never.

the number 0 is always equal to its opposite

If a number is zero or positive, then its absolute value is equal to the number.

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