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Mathematics

Draw a number line and mark

34,74,34\dfrac{3}{4}, \dfrac{7}{4}, \dfrac{-3}{4} and 74\dfrac{-7}{4} on it.

Rational Numbers

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Answer

Draw a number line as shown below:

Draw a number line and mark. 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 4, divide each OA, AB, BC, OA', A'B',etc into four equal parts.

To represent 14\dfrac{1}{4}, move one step towards the right side of 0 to reach P as shown.

As, OA = 1 unit, therefore OP = 14\dfrac{1}{4} unit.

Hence, to represent 34\dfrac{3}{4}, move 3 steps towards the right side of 0 to reach point Q. So, Q represent 34\dfrac{3}{4}.

In the same way to represent 34\dfrac{-3}{4}, move 3 steps towards the left side of 0 to reach point R. So, R represent 34\dfrac{-3}{4}.

So, S represent 74\dfrac{7}{4} and T represent 74\dfrac{-7}{4}.

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