Question

Find five rational numbers equivalent to each of the following.

$-1$

Answer 1

Equivalent ration number: If both numerator and denominator of a rational number are either multiplied or divided by the same non zero number , we get an equivalent rational number.

$-1$can be written as $\frac{-1}{1}$

So, equivalent rational numbers can be written as,

$$\begin{gathered} \frac{-1}{1}=\frac{-1\times 2}{1\times 2}=\frac{-1\times 3}{1\times 3}=\frac{-1\times 4}{1\times 4}=\frac{-1\times 5}{1\times 5}=\frac{-1\times 6}{1\times 6} \\ \Rightarrow \frac{-1}{1}=\frac{-2}{2}=\frac{-3}{3}=\frac{-4}{4}=\frac{-5}{5}=\frac{-6}{6} \end{gathered}$$

So, five rational numbers equivalent to $-1$ are $\frac{-2}{2},\frac{-3}{3},\frac{-4}{4},\frac{-5}{5}$ and $\frac{-6}{6}.$