Question

Multiplicative and additive identities for rational numbers are respectively

• A. $0and1$
• B. $1and0$
• C. $0and-1$
• D. $-1and0$

Answer 1

The correct option is B

$1and0$

Correct option:(b)$1and0$

The multiplicative identity of a rational number is $1$. When we multiply $1$to any rational number then we get the same rational number.

Example: $\frac{3}{2}\times 1=\frac{3}{2}$

The additive identity is the value when added to a rational number, resulting in the original number.

Example:$\frac{3}{2}+0=\frac{3}{2}$

Hence, this option is correct.

Incorrect option:

(a)$0and1$

When we multiply $0$to any rational number then it becomes zero. We don't get the same rational number. Thus it is not a multiplicative identity.

When we add $1$to any rational number then its value will be changed. We don't get the same rational number. Thus it is not an additive identity.

Hence, this option is incorrect.

(c) $0and-1$

When we multiply $0$to any rational number then it becomes zero. We don't get the same rational number. Thus it is not a multiplicative identity.

When we add $-1$to any rational number then its value will be changed. We don't get the same rational number. Thus it is not an additive identity.

Hence, this option is incorrect.

(d)$-1and0$

When we multiply $-1$to any rational number then it becomes negative of that rational number. We don't get the same rational number. Thus it is not a multiplicative identity.

When we add $0$to any rational number then its value will not be changed. We get the same rational number. Thus it is an additive identity.

Hence, this option is incorrect.

Therefore, option (b) is correct.