Question

Question 9
Is 0.3 the multiplicative inverse of $3\frac{1}{3}$? Why or why not?

Answer 1

Since multiplicative inverse of a rational number a is $(\frac{1}{a},)Ifa\times \frac{1}{a}=1.$
Therefore, $0.3\times 3\frac{1}{3}=\frac{3}{10}\times \frac{10}{3}=1$. Therefore, 0.3 is the multiplicative inverse of $3\frac{1}{3}$.