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Mathematics

On a number line mark the points

23,83,73,23\dfrac{2}{3}, \dfrac{-8}{3}, \dfrac{7}{3}, \dfrac{-2}{3} and -2.

Rational Numbers

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Answer

Draw a number line as shown below:

On a number line mark the points. Rational Numbers, Concise Mathematics Solutions ICSE Class 8.

In this number line

OA = AB = ……………= OA' = A'B' = 1 unit

Since the denominator of each given rational number is 3, divide each OA, AB, BC, OA', A'B', etc into three equal parts.

To represent 13\dfrac{1}{3}, move one step towards the right side of 0 to reach P as shown.

As, OA = 1 unit, therefore OP = 13\dfrac{1}{3} unit.

Hence, to represent 23\dfrac{2}{3}, move 2 steps towards the right side of 0 to reach point Q. So, Q represents 23\dfrac{2}{3}.

In the same way to represent 23\dfrac{-2}{3}, move 2 steps towards the left side of 0 to reach point R. So, R represents 23\dfrac{-2}{3}.

Similarly, S represents 83\dfrac{-8}{3}, T represents 73\dfrac{7}{3} and B' represents -2.

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