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Sonbull [250]
3 years ago
6

Represent

t=" \frac{ - 7}{5} " align="absmiddle" class="latex-formula">
on the number line​
Mathematics
1 answer:
Ilya [14]3 years ago
3 0

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.

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