#### Solved Examples and Worksheet for Finding the Distance between Rational Numbers on a Number Line

Q1What is the difference between the two numbers represented in the number line? A. 0.6
B. 0.5
C. 0.8
D. 0.7

Step: 1
In the above number line, the first point is on the 2nd division, which indicates the values of 0.2
Step: 2
The second point is on the 7th division, which indicates the value of 0.7
Step: 3
The difference between these two numbers = 0.7 - 0.2 = 0.5
Q2Find the distance between the numbers - 4 and 2 on the number line shown. A. 6 units
B. - 2 units
C. 2 units
D. 4 units

Step: 1
Start at 0 on the number line. Move 2 units to the right to show + 2 and again from 0, move 4 units left to show - 4 as shown in the figure. Step: 2
So, the distance between the numbers - 4 and 2 on the number line is 6 units.
Correct Answer is :   6 units
Q3Find the distance between the numbers 2 and 6 on the number line shown. A. 4 units
B. 2 units
C. 8 units
D. - 4 units

Step: 1
Start at 0 on the number line. Move 2 units to the right to show + 2 and again from 0, move 6 units right to show + 6 as shown in the figure. Step: 2
So, the distance between the numbers 2 and 6 on the number line is 4 units.
Correct Answer is :   4 units
Q4Which two points represent the distance of 4 units on the number line shown. A. C and B
B. A and C
C. A and E
D. C and E

Step: 1
The two points that represent a distance of 4 units on the number line shown are C and E.
Step: 2 Correct Answer is :   C and E
Q5What is the distance between 2.5 and - 0.5 on the number line shown? A. 2 units
B. 6 units
C. 3 units
D. 5 units

Step: 1
Start at 0 on the number line. Move 0.5 units to the left to show - 0.5 and again from 0, move 2.5 units to the right to show + 2.5 as shown in the figure. Step: 2
So, the distance between the numbers 2.5 and -0.5 on the number line is 3 units.
Correct Answer is :   3 units
Q6Calculate the distance between 1.80 and - 2.20 on the number line shown. A. 4 units
B. - 4 units
C. 3.80 units
D. 2.20 units

Step: 1
Start at 0 on the number line. Move 2.20 units to the left to show - 2.20 and again from 0, move 1.80 units to the right to show 1.80 as shown in the figure. Step: 2
So, the distance between the numbers 1.80 and -2.20 on the number line is 4 units.
Correct Answer is :   4 units
Q7Find the distance between A and B. A. 10 units
B. 6 units
C. 12 units
D. 11 units

Step: 1
The length between each part = 2 Units
Step: 2
The Value of A = -3
Step: 3
The value of B = 9
Step: 4
The distance between 0 & -3 = 3 units
Step: 5
The distance between 0 & 9 = 9 units
Step: 6
So, the distance between A and B = 9 + 3 = 12 units.
Correct Answer is :   12 units
Q8Find the distance between J and V. A. 6 units
B. 9 units
C. 8 units
D. 7 units

Step: 1
The length between - 7 and 5 is divided into 6 equal parts.
Step: 2
Each part represents 2 units.
[126 = 2.]
Step: 3
The value of point J is - 4 and the value of point V is 4. Step: 4
The distance between the points J and V is 4 - (- 4) = 4 + 4 = 8
Step: 5
So, the distance between the points J and V is 8 units.
Correct Answer is :   8 units
Q9Which of the points shown on the number line are separated by a distance of 3 units ? A. C and E
B. A and E
C. C and B
D. A and C

Step: 1
The two points that represent a distance of 3 units on the number line shown are A and C. Correct Answer is :   A and C
Q10What is the distance between - 1.5 and 1.5 on the number line shown ? A. - 4 units
B. 1 units
C. - 1 units
D. 3 units

Step: 1
Start at 0 on the number line. Move 1.5 units to the right to show + 1.5 and again from 0, move 1.5 units to the left to show - 1.5 as shown in the figure. Step: 2
So, the distance between the numbers - 1.5 and 1.5 on the number line is 3 units.
Correct Answer is :   3 units