Representation of Rational Numbers on the Number Line

Q.

Points P and Q represent $\frac{-1}{2}$ and $\frac{3}{4}$ on a number line respectively. Which of the given figures show the correct representation ?

1. 
2. 
3. 
4. 

Q. In the given image, the rational number that is represented by the red arrow is .

1. $-\frac{2}{5}$
2. $-\frac{3}{5}$
3. $\frac{-7}{5}$

Q.

Representing rational numbers on a number line need___.

1. only negative integers on the number line

2. first 4 integers on both sides of 0

3. infinite numbers on both sides of 0

4. 10 numbers on both sides of 0

Q.

Arrange the numbers in ascending order $\frac{5}{4},\frac{7}{3},\frac{5}{8},\frac{9}{5},\frac{9}{2}.$

1. 9/2 < 8/5 < 5/4 < 6/8 < 2/3

2. 5/4 < 6/8 < 2/3 < 8/5 < 9/2

3. 9/2 < 2/3 < 5/4 < 8/5 < 6/8

4. 2/3 < 6/8 < 5/4 < 8/5 < 9/2

Q.

Arrange the Rational numbers $\frac{-2}{5}$, $\frac{1}{-5}$ and $\frac{1}{11}$ in descending order

1. $\frac{1}{-5}$ > $\frac{1}{11}$ > $\frac{-2}{5}$

2. $\frac{1}{11}$ < $\frac{1}{-5}$ < $\frac{-2}{5}$

3. $\frac{1}{11}$ > $\frac{1}{-5}$ > $\frac{-2}{5}$

4. $\frac{1}{11}$ > $\frac{-2}{5}$ > $\frac{1}{-5}$

Q.

Arrange the following fraction in ascending order.

$\frac{3}{4},\frac{7}{8},\frac{11}{16}and\frac{23}{32}$

Q. By observing the number line, state which of the following statements is not true?

1. B is greater than -10
2. A is greater than 0
3. B is greater than A
4. B is smaller than 0

Q.

Rational numbers can be represented on a number line.

1. True

2. False

Q. Sum of two rational numbers is 9 and one of the rational number is (-2/3). Find the other rational number.

1. -29/3
2. 25/3
3. -25/3
4. 29/3

Q. Arrange the numbers in ascending order (Starting from the top)

1. $\frac{8}{5}$
2. $\frac{9}{2}$
3. $\frac{2}{3}$
4. $\frac{5}{4}$
5. $\frac{6}{8}$

Q.

The points A, B and C represent the rational numbers.

1 

Q.

Which rational number represents X on number line?

1. 4/3

2. 1.5

3. 2

4. 5/3

Q. Match the following rational numbers to the corresponding integers they lie between on the number line.

1. -1 and -2
2. 0 and -1
3. 0 and 1
4. 1 and 2

Q. By observing the number line, state which of the following statements is not true?

1. B is greater than -10
2. A is greater than 0
3. B is greater than A
4. B is smaller than 0

Q.

Using the given number line find the difference between point A and point B :

1. $\frac{-5}{3}$

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

3. $\frac{2}{3}$

4. $\frac{7}{3}$

Q.

Fill in the boxes with the symbols $=,$$>$ or $<$.

$\frac{5}{16}$$\square$$\frac{1}{6}$

Q. A watch reads 9:25. If the minute hand is in the north direction, then hour hand will be in __________.​

1. south-east
2. north-west
3. north-east
4. south-west

Q. Express $\frac{25}{45}$ in the simplest form and represent it on the number line.

Q. Find the smallest number among $-\frac{2}{3}$, $-\frac{9}{6}$, $-\frac{5}{2}$ and $-\frac{3}{4}$.
[4 marks]

Q. The weight of a ball gets reduced by $\frac{2}{3}$ kg from $3\frac{1}{2}$ kg after some time. What is the weight of the ball now?

1. $\frac{13}{6}$ kg
2. $\frac{15}{6}$ kg
3. $\frac{17}{6}$ kg
4. $\frac{19}{6}$ kg

Q.

Arrange the descending order of fractions.

$\frac{7}{19},\frac{7}{11},\frac{7}{13}and\frac{7}{5}$

Q. If the given numbers are represented on a number line, then the rightmost number is

1. 5.6
2. -3
3. 0.5
4. 3

Q.

Pick out the greater fraction

$\frac{8}{14}or\frac{31}{42}$

Q.

Arrange the following numbers in ascending order:

$\frac{-1}{3}$ $-\frac{2}{9}$ $-\frac{4}{3}$

Q. Mark the following pairs of rational numbers on the number line:
$\frac{3}{4}$ and $\frac{-1}{4}$

Q. Check if the following pair represent the same rational number:
$\frac{1}{3}$ and $\frac{-3}{9}$

Q.

Which of the two rational numbers is greater in each of the following pairs ?

$\frac{-6}{7},\frac{-8}{9}$

Q.

In the given pair which number is to the right of the other number on the number line?

(iv) -5, 8

Q. A rational number $\frac{-2}{3}$

1. Lies to the left side of 0 on the number line.
2. Lies to the right side of 0 on the number line.
3. Is not possible to represent on the number line.
4. None of these.

Q. Arrange the numbers in ascending order (Starting from the top)

1. $\frac{2}{3}$
2. $\frac{5}{4}$
3. $\frac{9}{2}$
4. $\frac{8}{5}$
5. $\frac{6}{8}$