Question

a) What is the value of (0.5)² x (0.1)³ ?
b) What is the quotientwhen a non zero rational number is divided by its additive inverse?

Answer 1

$$\begin{gathered} 1. \\ (0.5{)}^2\times (0.1{)}^3 \\ =\frac{5}{10}\times \frac{5}{10}\times \frac{1}{10}\times \frac{1}{10}\times \frac{1}{10} \\ =\frac{25}{100000} \\ =0.00025 \\ 2. \\ \mathrm{A}\mathrm{rational}\mathrm{number}\mathrm{when}\mathrm{divided}\mathrm{by}\mathrm{its}\mathrm{additive}\mathrm{inverse}\mathrm{gives}-1\mathrm{as}\mathrm{quotient}. \\ \mathrm{eg}. \\ \mathrm{Let}\mathrm{x}=\frac{4}{3}\mathrm{be}\mathrm{given}\mathrm{rational}\mathrm{number}. \\ \mathrm{Its}\mathrm{additive}\mathrm{inverse}\mathrm{will}\mathrm{be}\frac{-4}{3}\mathrm{as}\frac{4}{3}-\frac{4}{3}=0 \\ \mathrm{Now}, \\ \frac{\frac{4}{3}}{-\frac{4}{3}}=-\frac{4}{3}\times \frac{3}{4}=-1 \end{gathered}$$