Q: Is absolute value of product equal to product of absolute values'?

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A positive and negative number with the same magnitude (value) will have their absolute values equal.

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.

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!

An absolute value can not be negative.

If a number is zero or positive, then its absolute value is equal to the number.

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A positive and negative number with the same magnitude (value) will have their absolute values equal.

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.

no all absolute values are positive

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!

An absolute value must be greater or equal to zero. If the absolute value is known to be nonzero then it must be greater than zero: that is, it must be positive. The product of two (or more) positive numbers must be positive.

all absolute values are positive, so the absolute value of -3.3 is 3.3

An absolute value can not be negative.

The product will be a rational number whose absolute value is bigger than the absolute value of the whole number.The product will be a rational number whose absolute value is bigger than the absolute value of the whole number.The product will be a rational number whose absolute value is bigger than the absolute value of the whole number.The product will be a rational number whose absolute value is bigger than the absolute value of the whole number.

No, absolute values are always positive.

If a number is zero or positive, then its absolute value is equal to the number.

on the real number line there are 2 values with |5|, ie +5 and -5. on the complex plane there are an infinite set of values with an absolute value of 5, ie all the points of distance 5 from the origin.

the only absolute value would be 4, as the absolute value is the space that the number is away from zero. Both positive and negative four would equal four. On the other hand, if the negative sign was outside the absolute value ( -|4| ), then the number would be negative.