Question

Find four rational numbers between

- 1

and

1

.

Accepted Answer

The given rational numbers are $- 1$ and $1$ .

When four rational numbers are placed between $- 1$ and $1$ , there will be $(4 + 1) = 5$ gaps between them.

Now, we shall find the difference of $- 1$ and $1$ and divide it into $5$ gaps.

The difference $= 1 - (- 1) = 2$ .

Each gap is obtained as $\frac{1}{5} \times 2 = \frac{2}{5}$

The rational numbers are calculated below.

$- 1 + 1 \times \frac{2}{5} = - 1 + \frac{2}{5} = \frac{- 5 + 2}{5} = \frac{- 3}{5}$

$- 1 + 2 \times \frac{2}{5} = - 1 + \frac{4}{5} = \frac{- 5 + 4}{5} = \frac{- 1}{5}$

$- 1 + 3 \times \frac{2}{5} = - 1 + \frac{6}{5} = \frac{- 5 + 6}{5} = \frac{1}{5}$

$- 1 + 4 \times \frac{2}{5} = - 1 + \frac{8}{5} = \frac{- 5 + 8}{5} = \frac{3}{5}$

Therefore, four rational numbers between $- 1$ and $1$ are $\frac{- 3}{5}, \frac{- 1}{5}, \frac{1}{5}$ and $\frac{3}{5}$ .

Likewise,we can find infinite rational numbers between the given numbers.

Find four rational numbers between $- 1$ and $1$ .

Important Questions on Summative Assessment – 1

Learn and Prepare for any exam you want !

Find four rational numbers between -1 and 1.

Important Questions on Summative Assessment – 1

Learn and Prepare for any exam you want !

Find four rational numbers between $- 1$ and $1$ .