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Earn +20 ptsQ: What numbers have opposites that are different from their absolute value?
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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
Is two integers that are opposites have the same absolute value?
Yes.
What is the different numbers that have the same absolute value called?
In Real numbers, each is the additive inverse of the other.
Do only integers have absolute value?
No. Absolute value applies to the set of real numbers.
Why do two numbers that are opposites have the same absolute value?
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.
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