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

Related questions

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.

0

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

Only if the rational number is 0.

No, never.

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

the number 0 is always equal to its opposite

Absolute values are essentially used for the magnitude (distance) to zero of a number. They are represented by a number inside a vertical bar (e.g., |2|) E.g.'s: | 2 | = 2 (the absolute value of 2 is equal to 2) | -4 | = 4 (the absolute value of -4 is 4) In terms of rational numbers, it just means to hold the fraction. Rational numbers can be written in a/b (fraction) form. E.g.'s: | 1+2/3 | = 1+2/3 (the absolute value of one and two thirds is equal to one and two thirds) | -1-2/3| = 1+2/3 (the absolute value of -1 minus 2/3 is equal to 1 and 2/3.