Question

Multiplicative identity of a whole number is given by
A. 1
B. 0
C. Both 0 and 1.
D. None.

Answer 1

Hint: All whole numbers are real numbers.
Definition: A number m is said to be the multiplicative identity of a number a, if $a\times m=a$ .
Any number when multiplied by 0, gives the result as number 0.
A number a when multiplied by 1, gives the same number a as the result.

Complete step by step answer:
Let x be any whole number.
We note that $x\times 1=x$ and $x\times 0=0$ .
Since multiplication by 1 yields the same number x, 1 is the multiplicative identity of x, by definition.

The correct answer is A. 1.

Note: In mathematics, an identity element, or neutral element, is a special type of element of a set with respect to a binary operation on that set, which leaves any element of the set unchanged when combined with it.
0 is the additive identity and 1 is the multiplicative identity for any number.
Inverse: In mathematics, the additive inverse of a number a, denoted by $-a$ , is the number that, when added to a, yields 0 (the additive identity).
This number is also known as the opposite (number), sign change, and negation.
n mathematics, a multiplicative inverse or reciprocal for a number x, denoted by $\dfrac{1}{x}$ or ${{x}^{-1}}$ , is a number which when multiplied by x yields 1 (the multiplicative identity).