Representation of Rational Numbers on the Number Line

Q.

Represent the following rational numbers on the number line:

Q.

What are equivalent rational numbers ?

Q.

Draw a number line to represent $\frac{5}{4}$.

Q. Which of the two rational numbers is greater in the given pair?
(i) $\frac{-4}{3}\mathrm{or}\frac{-8}{7}$
(ii) $\frac{7}{-9}\mathrm{or}\frac{-5}{8}$
(iii) $\frac{-1}{3}\mathrm{or}\frac{4}{-5}$
(iv) $\frac{9}{-13}\mathrm{or}\frac{7}{-12}$
(v) $\frac{4}{-5}\mathrm{or}\frac{-7}{10}$
(vi) $\frac{-12}{5}\mathrm{or}-3$

Q.

Which rational numbers do point A and point B represent in the below given number line?
(Assume that any two divisions between two integers in the given number line are equal.)

1. A = $\frac{1}{3}$ , B = $\frac{-3}{4}$

2. A = $\frac{2}{3}$ , B = $\frac{-4}{3}$

3. A = $\frac{1}{3}$ , B = $\frac{-4}{3}$

4. A = $\frac{2}{3}$ , B = $\frac{-3}{4}$

Q.

$\text{Draw a number line and mark}\frac{3}{4},\frac{7}{4},\frac{-3}{4}and\frac{-7}{4}onit.$

Q.

Represent these numbers on the number line.

(i) (ii)

Q.

Which of the following statements are true or false?
(i) $-\frac{3}{5}$ lies to the left of O on the number line.
(ii) $\frac{-12}{7}$ lies to the right of O on the number line.
(iii) The rational numbers $\frac{1}{3}$ and $\frac{-5}{2}$ are on opposite sides of O on the number line.
(iv) The rational number $\frac{-18}{-13}$ lies to the left of O on the number line.

Q.

Rational numbers can be represented on the number line.

1. True

2. False

Q. Represent on number line
$\frac{2}{3}$

Q.

Which of the following has fractions in ascending order?

1. 

2. 
   

3. 

4. 
   

Q. Question 87
The rational number $\frac{-8}{-3}$ lies neither to the right nor to the left of zero on the number line.

Q.

Write four equivalent rational numbers for each of the following:

$\frac{-2}{-9}$

Q. Which of the two rational numbers is greater in the given pair?
(i) $\frac{3}{8}\mathrm{or}0$
(ii) $\frac{-2}{9}\mathrm{or}0$
(iii) $\frac{-3}{4}\mathrm{or}\frac{1}{4}$
(iv) $\frac{-5}{7}\mathrm{or}\frac{-4}{7}$
(v) $\frac{2}{3}\mathrm{or}\frac{3}{4}$
(vi) $\frac{-1}{2}\mathrm{or}-1$

Q. Represent $-\frac{3}{4}$ on number line

Q.

Arrange the following in ascending order:

$\frac{-4}{-5},\frac{3}{10},\frac{-7}{15}$

Q.

Draw a number line and represent the following fractions:

$\frac{4}{5}$, $\frac{6}{5}$, $\frac{7}{5}$, $\frac{3}{5}$

Q.

Arrange the following in descending order:

$\frac{-2}{3},\frac{3}{4},\frac{5}{-7}$

Q. Question 86
The rational number $\frac{7}{-4}$ lies to the right of zero on the number line.

Q. Question 98
The rational numbers $\frac{1}{2}$ and $-\frac{5}{2}$ are on the opposite sides of zero on the number line.

Q.

Find the leftmost and the rightmost number when the following numbers are represented on the number line.

$-\frac{19}{10}$, $-\frac{9}{5}$, $-\frac{8}{5}$, $-\frac{3}{2}$, $-\frac{17}{10}$

1. ,

2. ,

3. ,

4. ,

Q. Among the numbers $\frac{1}{2}$, $\frac{2}{3}$, $\frac{3}{4}$ and $\frac{5}{6}$, the greatest number is

1. $\frac{1}{2}$
2. $\frac{2}{3}$
3. $\frac{3}{4}$
4. $\frac{5}{6}$

Q. $\frac{9}{4}$ lies between the integers and on the number line.

1. 1
2. 2
3. 3
4. 4

Q.

Numbers that can be expressed in the form $\frac{p}{q}$, where $p$ and $q$ are integers and $q\ne 0$ are called ___ numbers.

Q.

Which of the following are in descending order of their value?

1. 

2. 

3. 

4. 

Q. Question 88
The rational numbers $\frac{1}{2}$ and - 1 are on the opposite sides of zero on the number line.

Q.

If the following numbers are represented on a number line starting from the right, which one comes first?

5.6, -3, 0.5, 3

1. 3
2. 0.5
3. -3

4. 5.6

Q.

Q. Select the rational number for point labelled with letter 𝑫.

1. $1\frac{2}{5}$
2. $1\frac{3}{5}$
3. $1\frac{4}{5}$
4. $2\frac{3}{5}$

Q.

Write four equivalent rational numbers for the following:

$-\frac{5}{11}$