Rational Numbers - Exercise 4(G)

Represent the following rational number on the number line :

$\dfrac{2}{3}$

Answer

$\dfrac{2}{3}$

Draw a number line and mark 0, on the right side of 0 mark 1. Divide the distance between 0 and 1 into 3 equal parts. The 2nd mark from 0 is point P, which represents $\dfrac{2}{3}$.

Represent the following rational number on the number line :

$-\dfrac{5}{7}$

Answer

$-\dfrac{5}{7}$

Draw a number line and mark 0, on the left side of 0 mark -1. Divide the distance between 0 and −1 into 7 equal parts. The 5th mark to the left of 0 is P, which represents $-\dfrac{5}{7}$.

Represent the following rational number on the number line :

$\dfrac{1}{6}$

Answer

$\dfrac{1}{6}$

Draw a number line and mark 0, on the right side of 0 mark 1. Divide the distance between 0 and 1 into 6 equal parts. The 1st mark from 0 is P, which represents $\dfrac{1}{6}$.

Represent the following rational number on the number line :

$-\dfrac{3}{8}$

Answer

$-\dfrac{3}{8}$

Draw a number line and mark 0, on the left side of 0 mark -1. Divide the distance between 0 and −1 into 8 equal parts. The 3rd mark to the left of 0 P, which represents $-\dfrac{3}{8}$.

Represent the following rational number on the number line :

$\dfrac{22}{7}$

Answer

$\dfrac{22}{7}$

First convert to a mixed fraction to see which integers they fall between.

$\dfrac{22}{7} = 3\dfrac{1}{7}$

This lies between 3 and 4. Draw a number line and mark 0, on the right side of 0 mark the points 1, 2, 3, 4. Divide the distance between 3 and 4 into 7 equal parts.The 1st mark after 3 is point P, which represents $\dfrac{22}{7}$.

Represent the following rational number on the number line :

$\dfrac{23}{-5}$

Answer

$\dfrac{23}{-5}$

First convert to a mixed fraction to see which integers they fall between.

$\dfrac{23}{-5} = -4\dfrac{3}{5}$

This lies between -4 and -5. Draw a number line and mark 0, on the left side of 0, mark the points -1, -2, -3, -4, -5. Divide the space between -4 and -5 into 5 equal parts. The 3rd mark to the left of -4 is P, which represents $-\dfrac{23}{5}$.

Represent the following rational number on the number line :

$-\dfrac{3}{4}$

Answer

$-\dfrac{3}{4}$

Draw a number line and mark 0, on the left side of 0 mark -1. Divide the distance between 0 and −1 into 4 equal parts. The 3rd mark to the left of 0 is P, which represents $-\dfrac{3}{4}$.

Represent the following rational number on the number line :

$\dfrac{-12}{5}$

Answer

$\dfrac{-12}{5}$

First convert to a mixed fraction to see which integers they fall between.

$\dfrac{-12}{5} = -2\dfrac{2}{5}$

This lies between -2 and -3. Draw a number line and mark 0, on the left side of 0, mark the points -1, -2, -3. Divide the space between -2 and -3 into 5 equal parts. The 2nd mark to the left of -2 is P, which represents $-\dfrac{12}{5}$.

Represent the following rational number on the number line :

$\dfrac{13}{6}$

Answer

$\dfrac{13}{6}$

First convert to a mixed fraction to see which integers they fall between.

$\dfrac{13}{6} = 2\dfrac{1}{6}$

This lies between 2 and 3. Draw a number line and mark 0, on the right side of 0, mark the points 1, 2, 3. Divide the space between 2 and 3 into 6 equal parts.The 1st mark after 2 is P, which represents $\dfrac{13}{6}$.