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Worksheet on Representation of Rational Number on a Number Line

Practice the worksheet on representation of rational number on a number line.

The questions are based on representing the positive rational numbers and negative rational numbers on the real number line.

We know, the rational numbers can be represented on the number line. We represent any rational number on the number line by a point. Every positive rational number lies to the right of 0 and every negative rational number lies to the left of 0 on the number line.

1. Draw the number line and represent the following positive rational numbers on it:

(i) 1/3

(ii) 2/3

(iii) 2/7

(iv) 3/4

(vi) 3/8

(vi) 1³/₄

(vii) 2²/₅

(viii) 3¹/₂

(ix) 5⁵/₇

(x) 4²/₃

(xi) 8

(xii) 7/9

2. Represent each of the following negative rational numbers on the number line:

(i) (-5)/8

(ii) (-3)/16

(iii) (-1)/3

(iv) -3/4

(v) (-7)/3

(vi) 22/(-7)

(vii) (-31)/3

(viii) -1²/₃

(ix) -3¹/₇

(x) -4³/₅

(xi) -2⁵/₆

(xii) -3

(xiii) -2⁷/₈

(xiv) -5²/₅

3. Which of the following statements are true or false?

(i) -3/5 lies to the left of 0 on the number line.

(ii) The rational number 29/23 lies to the left of 0 on the number line.

(iii) -12/7 lies to the right of 0 on the number line.

(iv) The rational number (-12)/(-17) lies to the left of 0 on the number line.

(v) The rational numbers 1/3 and -5/2 are on the opposite sides of 0 on the number line.

(vi) The rational number 3/4 lies to the right of 0 on the number line.

(vii) The rational number -18/-13 lies to the left of 0 on the number line.

(viii) The rational numbers (-12)/(-5) and (-7)/17 are on the opposite sides of 0 on the number line.

(ix) The rational numbers (-21)/5 and 7/(-31) are on the opposite sides of 0 on the number line.

(x) The rational number (-3)/(-5) is on the right of (-4)/7 on the number line.

Answers for the worksheet on representation of rational number on a number line are given below to check the exact answers of the above statements.

Answers:

3. (i) True

(ii) False

(iii) False

(iv) False

(v) True

(vi) True

(vii) False

(viii) True

(ix) False