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Question

# Draw the number line and represent the following rational numbers on it:(i) 34 (ii) −58 (iii) −74 (iv) 78

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Solution

## (i) 34This fraction represents 3 parts out of 4 equal parts. Therefore, each space between two integers on number line must be divided into 4 equal parts.34 can be represented as(ii) −58This fraction represents 5 parts out of 8 equal parts. Negative sign represents that it is on the negative side of number line. Therefore, each space between two integers on number line must be divided into 8 equal parts.−58 can be represented as(iii) −74=−134This fraction represents 1 full part and 3 parts out of 4 equal parts. Negative sign represents that it is on the negative side of number line. Therefore, each space between two integers on number line must be divided into 4 equal parts.−74 can be represented as(iv) 78This fraction represents 7 parts out of 8 equal parts. Therefore, each space between two integers on number line must be divided into 8 equal parts.78 can be represented as

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