Representation of Rational Numbers on a Number Line

Q.

Represent $\frac{1}{3}$on the number line.

Q.

Arrange the following rational numbers in the ascending order
$\frac{5}{4},\frac{2}{3},\frac{6}{8},\frac{8}{5},\frac{9}{2}.$

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

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

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

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

Q. The number $\frac{-15}{7}$ on the number line will lie between the integers____.

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

Q. Which rational numbers on the number line are represented by points A and B?

1. A = $\frac{1}{3}$ , B = $\frac{-3}{4}$
2. A = $\frac{1}{3}$ , B = $\frac{-4}{3}$
3. A = $\frac{2}{3}$ , B = $\frac{-4}{3}$
4. A = $\frac{2}{3}$ , B = $\frac{-3}{4}$

Q.

Arrange the descending order of fractions.

$\frac{3}{4},\frac{5}{8},\frac{11}{12}and\frac{17}{24}$

Q. On the number line given below, which rational number is indicated by the point E?

Q.

In the given figure, locate the position where the ball lies on the number line.

1. 1/5

2. 2/5

3. 3/5

4. 4/5

Q. Arrange the following rational numbers $\frac{-2}{5}$, $\frac{1}{-5}$ and $\frac{1}{11}$ in descending order.
[2 marks]

Q. Represent $\frac{-2}{11},\frac{-5}{11},\frac{-9}{11}$ on the number line.
[4 marks]

Q.

Between any two numbers, there can be an infinite number of____.

(i) natural numbers
(ii) whole numbers
(iii) integers
(iv) rational numbers

1. (i), (ii), (iii), (iv)

2. (ii), (iii), (iv)

3. (iii), (iv)

4. (iv)

Q. Match the rational numbers to the integers between which they lie.

1. 0 and 1
2. -5 and -4
3. 3 and 4
4. -3 and -2

Q. Identify the rational numbers represented by B, C and D if AB = CD = DE as drawn on the number line.

1. $0,-1,-2$
2. $\frac{-1}{2},-1,\frac{-3}{2}$
3. $\frac{1}{2},1,\frac{3}{2}$
4. $\frac{-1}{4},-1,\frac{-5}{2}$

Q.

If a>b then $\frac{1}{\mathrm{a}}>\frac{1}{\mathrm{b}}$.(where a and b are natural numbers)

1. True
2. False

Q. The given numbers lie between

1. 1 - 2
2. 2 - 3
3. 3 - 4
4. 4 - 5

Q. 1 3 A
+ 5 A 2
A 0 9

In the given summation, the value of A is:

1. 
   5
2. 
   7
3. 
   6
4. 
   8

Q. The mixed fraction representation of $\frac{7}{3}$ is ___.

1. $7\frac{1}{3}$
2. $2\frac{1}{3}$
3. $3\frac{1}{7}$
4. 3$\frac{1}{3}$

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. The number $\frac{-15}{7}$ on the number line will lie between the integers.

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

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.

Rational numbers can be represented on the number line.

1. True

2. False

Q. A number 'a' lies in between 0.75 and 1.75. Which of the following statements is correct?

1. 'a' is less than 0.75.
2. 'a' is greater than 1.75.
3. 'a' is greater than 0.75 and less than 1.75.
4. 'a' is either 0.75 or 1.75.

Q. Arrange the numbers in the ascending order from bottom to top.

1. $-\frac{17}{10}$
2. $-\frac{3}{2}$
3. $-\frac{8}{5}$
4. $-\frac{9}{5}$

Q.

If the following numbers are represented on a number line, which number will be the rightmost?
5.6, -3, 0.5, 3

1. 5.6

2. 3

3. 0.5

4. -3