Question

For every non-zero rational number $\frac{a}{b}$ there exists a rational $\frac{c}{d}$ such that $\frac{a}{b}\times \frac{c}{d}=1$, then the rational number $\frac{c}{d}$ is known as

• A. Additive identity
• B. Multiplicative identity
• C. Additive inverse
• D. Multiplicative inverse

Answer 1

The correct option is D Multiplicative inverse

For every non-zero rational number $\frac{a}{b}$ there exists a rational $\frac{c}{d}$ such that $\frac{a}{b}\times \frac{c}{d}=1$, then the rational number $\frac{c}{d}$ is known as the multiplicative inverse of $\frac{a}{b}$.
For example, the multiplicative inverse of $\frac{2}{5}$ is $\frac{5}{2}$ as $\frac{2}{5}$ x $\frac{5}{2}$ = 1