Question

Which number is the multiplicative identity for integers?

• A. 1
• B. 0
• C. -1
• D. Every number is a multiplicative identity of itself

Answer 1

The correct option is A

1

Multiplicative identity is the number which, when multiplied with a number, results in the same number.

For example, if the multiplicative identity is $x$, then the product of $x$ and a number $a$ should be equal to $a$.

$x\times a=a$

$⟹x=1$

Or, we could say that 1 is the multiplicative identity because the product of any number and 1 is that number itself.

$5\times 1=5$

$-3\times 1=-3$

and so on.