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Why do two numbers that are opposites have the same absolute value?

Anonymous

∙ 15y ago

Updated: 9/17/2023

Because "absolute value" only refers to how far a number is away from zero.

Thus -1 and 1 are both one away from zero. And -100 and 100 are both one hundred away from zero.

Wiki User

∙ 15y ago

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Q: Why do two numbers that are opposites have the same absolute value?

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Continue Learning about Math & Arithmetic

Is two integers that are opposites have the same absolute value?

Yes.

Do opposites have the same or different absolute values?

Additive opposites MUST have the same absolute values.

How is absoulute value different from positive and negative integers?

The absolute value is always non-negative. So, the absolute values of zero and positive integers are the same as the numbers. However, the absolute values of negative integers are their additive inverses or additive opposites (or positive equivalents).Thus, for example, abs(-3) = +3

Can you reverse the numbers inside an absolute value symbol?

The answer depends on the operation. The absolute value of 2/3 is not the same as the absolute value of 3/2! It does work for subtraction, though.

Is X is a rational number and Y is the opposite of X why do X and Y have the same absolute value?

X and Y have the same absolute value because the opposite of a number doesn't change its distance from zero. The absolute value of a number represents its distance from zero on the number line, and since X and Y are opposites, they have the same distance from zero.

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