Question

a x (1/a) if you multiply a number and its multiplicative inverse, what do you get? 1 not enough information 0 none of these

Explanation:

Step1: Recall multiplication rule

When we multiply a non - zero number $a$ by its multiplicative inverse $\frac{1}{a}$, we use the rule of fraction multiplication $a\times\frac{1}{a}=\frac{a}{1}\times\frac{1}{a}$.

Step2: Multiply numerators and denominators

By the rule of fraction multiplication $\frac{a}{1}\times\frac{1}{a}=\frac{a\times1}{1\times a}$.

Step3: Simplify the fraction

Since $a\times1 = 1\times a=a$ (commutative property of multiplication), $\frac{a\times1}{1\times a}=\frac{a}{a}=1$ for $a
eq0$. When $a = 0$, $\frac{1}{a}$ is undefined. But assuming $a$ is a non - zero real number (as the concept of multiplicative inverse is defined for non - zero numbers), the product $a\times\frac{1}{a}=1$.

Answer:

1