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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.

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Explain Why the product of two nonzero absolute values is always a positive number?

The absolute value of a number is its distance from zero on the number line, so it is always non-negative. When you multiply two nonzero absolute values, you are essentially multiplying two non-negative numbers together. In multiplication, a positive number multiplied by a positive number always results in a positive number, hence the product of two nonzero absolute values is always positive.


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Yes, the absolute value for an negative number is always positive.


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No. You have it backwards . . . . . the absolute value of a negative number is always a positive number.


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That is false. A negative times a negative is always a positive. Since absolute numbers are always positive if you make it negative that is not correct.


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Is the absolute value of a number always positive?

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What is the absolute value of -347?

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