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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
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.
Do opposites have the same or different absolute values?
Additive opposites MUST have the same absolute values.
What will be the pair of integers whose sum gives zero?
They will be the same absolute value with opposite signs. They don't even have to be integers.
Do two integers that have the same absolute value have to be the same?
No.They must have the same numeral, but can have opposite signs. So, for example, the numbers 5 and -5 are clearly not the same, but the absolute value of either number is 5.
