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What numbers have equal absolute values?
A positive and negative number with the same magnitude (value) will have their absolute values equal.
Why is the product of two absolute values is always a positive number?
This is not strictly true, because an absolute value, and hence the product of two absolute values can be zero. It is, therefore true to say that the product of two absolute values is always non-negative. An absolute value of a number is, by definition, non-negative. And by the definition of multiplication, the product of two non-negative numbers in non-negative.
Is the sum of an absolute value is the same of their absolute values?
The sum of the absolute values of two numbers is greater or equal than the absolute values of the sum. It will be equal if both are positive or both are negative; greater if one is positive and one is negative. Try it out with some sample numbers!
Can an absolute value equal a negative?
An absolute value can not be negative.
How can an absolute value be equal to itself?
If a number is zero or positive, then its absolute value is equal to the number.
