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The opposite (or inverse) of a number can be defined in a number of different ways.
For example, the additive opposite of 4 is -4 but the multiplicative opposite of 4 is 1/4 or 0.25
Since the question concerns the product it would seem more appropriate to use the multiplicative opposite. Then, the product of a number and its opposite will be always 1.
Incidentally, the product of a number and its additive opposite will be the negative square of the number.
In neither case will it be zero.
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Why the product of nonzero rational number and a rational number is an irrational?
Actually the product of a nonzero rational number and another rational number will always be rational.The product of a nonzero rational number and an IRrational number will always be irrational. (You have to include the "nonzero" caveat because zero times an irrational number is zero, which is rational)
What is a nonzero number?
A quantity which does not equal zero is said to be nonzero.
Any nonzero number raised to the power of zero is equal to?
Any nonzero number raised to the power of zero is equal to one (1).By definition.
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.
What does any nonzero raised to the zero power equal?
Any number raised to the power of zero is always equal to 1
