Question

Write the following rational numbers in decimal form:

(8) $\frac{-2}{3}$

Answer 1

$\frac{-2}{3}$
Here is the long division method to find the decimal form of $\frac{2}{3}$
$$\begin{gathered} 0.66 \\ 3\overline{)2.00} \\ \underline{0} \\ 20 \\ \underline{18} \\ 020 \\ \underline{18} \\ 2 \end{gathered}$$
Hence, decimal form of $\frac{2}{3}$ is 0.66… = $0.\overline{6}$
∴ Decimal form of $\frac{-2}{3}$is – 0.66… = $-0.\overline{6}$