Question

Which of the following is the multiplicative identity for an integer $a$ ?
(A) 0
(B) 1
(C) a
(D) -1

Answer 1

Hint: In order to answer this question, to know the multiplicative identity for the given integer $a$we will find the identity and check whether after multiplying by $a$ by the identity, it will give the given integer $a$ or not.

Complete step-by-step answer:
The multiplicative identity for an integer $a$ is 1.
As $a \times 1 = a$ .
Even 1 is the multiplicative identity for any integer or any natural number.
According to the multiplicative identity property of 1, any number multiplied by 1, gives the same result as the number itself. Because the identity of the number remains the same, it is also known as the Identity property of multiplication.
Multiplicative identity of numbers is a feature of numbers that is used when performing multiplication operations, as the name suggests. The multiplication identity property states that when a number is multiplied by 1 (one), the result is the same as the product. 1 is the multiplicative identity (the number one).
Or in easy words, according to the identity property of multiplication, the product of any number multiplied by is the number itself. Here, only $ = $ satisfies the property. Therefore, $ = $ illustrates the Multiplicative identity.
Hence, the correct option is (B) 1 .
So, the correct answer is “Option B”.

Note: There are many other identities, additive identity is one of them. So, additive identity of numbers is a feature of numbers that is used in addition operations, as the name suggests. When a number is multiplied by zero, the result is the same.