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The absolute value of a number is how many spaces the number is away from 0. So if the number was 32, the absolute value would be 32. And if the number was -54, then the absolute value would be 54.
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The definition of "absolute value" for a number x (written as |x| ) is:
|x| = x for x >0
|x| = 0 for x=0
|x| = -x for x<0
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When adding 2 integers will the answer be positive?
When adding two integers, the answer will be positive if both integers are positive, or if one is negative but its absolute value is smaller than the absolute value of the positive integer.
What is the connection between absolute value and integers?
None. Integers can be negative, absolute values cannot. Absiolute values can be rational or irrational fractions, integers cannot.
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 two integers have the same absolute value?
Yes, a positive integer and its negative have the same absolute value. For example, +5 and -5 have the same absolute value.
What is an counterexample of the set of negative integers is closed under the operation of taking the absolute value?
-3 is a negative integer. The absolute value of -3 is +3 which is not a negative integer. So the set is not closed.
