Question

Select all the correct statements about the property of multiplicative inverse.

• A. For an integer a, the multiplicative inverse is $\frac{1}{a}$.
• B. The product of an integer and its multiplicative inverse is 1.
• C. Multiplicative inverse of -67 is $\frac{1}{67}$.
• D. The integers 1 and -1 are equal to their multiplicative inverse.

Answer 1

Answer: (A), (B), (D)

The correct options are
A

For an integer a, the multiplicative inverse is $\frac{1}{a}$.

B

The product of an integer and its multiplicative inverse is 1.

D

The integers 1 and -1 are equal to their multiplicative inverse.

(A) For an integer a, the multiplicative inverse is $\frac{1}{a}$.

This is the definition of multiplicative inverse. So, this is correct.

(B) The product of an integer and its multiplicative inverse is 1.

a $\times$ $\frac{1}{a}$ = 1. So, this is correct.

(C) Multiplicative inverse of 67 is $\frac{1}{67}$.

Multiplicative inverse of -67 is $-\frac{1}{67}$. So, this is incorrect.

(D) The integers 1 and -1 are equal to their multiplicative inverse.

Multiplicative inverse of 1 is 1 and that of -1 is -1. So, this is correct.