Question

Which operation below does not change the value of any nonzero number?

Answer 1

Multiplying any non-zero number does not change its value.

For example, if we multiply 1 by 1, we still get 1, so the number is not changed.

Answer 2

To find:

The operation that does not change the value of any non-zero number

Concept:

1. Multiplicative identity: 1 is the multiplicative identity because when we multiply any number by 1 or 1 by any number, the result is the number itself. E.g., a × 1 = 1 × a = a, where a is non-zero.
2. Additive identity: 0 is the additive identity because when we add 0 to any number or any number to 0, the result is the number itself. E.g., a + 0 = 0 + a = a, where a is non-zero.

Step-by-step explanation:

Let us solve the problem using the concept we have learned before.

If we take a number 10 and use multiplicative identity and additive identity one by one, we will get our solution.

10 × 1 = 10 or 1 × 10 = 10

10 has not changed when 1 is multiplied with it.

10 + 0 = 10 or 0 + 10 = 10

10 has not changed when 0 is added with it.

Final answer:

Addition by zero (0) and multiplication by one (1) do not change the value of any non-zero number.