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You can multiply any number (including zero) by one without changing it.

Similarly, you can raise any number (once again, including zero) to power one and it won't change.

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Q: What operation will not change the value of a nonzero number?

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multiplying by zero

The operation that will always have the result in value of 1 for any nonzero number is Inverse Operation of Multipication.

The absolute value is always positive.

Yes. nonzero number: -4, -0.5, 5, pi, 30 absolute number: |-4| = 4 |-0.5| = 0.5 |5| = 5 |pi| = pi |30| = 30

The absolute value of a number equals the number itself if and only if the number is a positive real number (x >= 0 and does not include a nonzero imaginary component).

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multiplying by zero

Adding zero

Multiplication by zero is one such operation.

The answer depends on what operation might cause the change.

The operation that will always have the result in value of 1 for any nonzero number is Inverse Operation of Multipication.

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The absolute value is always positive.

The value of any nonzero number raised to the zero power will equal positive one (1).

The additive identity is 0. The identity in a mathematical operation is the value that when the operation is performed, does not change the original value of the other operand. The additive identity is the number that, when added to another number, returns a value equal to the other number.

The absolute value of a number equals the number itself if and only if the number is a positive real number (x >= 0 and does not include a nonzero imaginary component).

The absolute value of a number equals the number itself if and only if the number is a positive real number (x >= 0 and does not include a nonzero imaginary component).

I would do it that way.