Question

Represent t=" \frac{ - 7}{5} " align="absmiddle" class="latex-formula">
on the number line​

Answer 1

Given:

The number is $-\dfrac{7}{5}$.

To find:

The location of the given number of the number line.

Solution:

We have,

$Number=-\dfrac{7}{5}$

It can be written as

$Number=-\dfrac{5+2}{5}$

$Number=-\dfrac{5}{5}-\dfrac{2}{5}$

$Number=-1-\dfrac{2}{5}$

It means the number is less than -1 but more than -2. So, the number lies between -2 and -1.

The mixed fraction form of given number is

$Number=-(1+\dfrac{2}{5})$

$Number=-(1\dfrac{2}{5})$

$Number=-1\dfrac{2}{5}$

Divide the number in 5 equal parts between two consecutive integers.

Now each unit represents $\dfrac{1}{5}$.

Since $Number=-1-\dfrac{2}{5}$, therefore, it is 2 units left from -1.

The number line is given below.