#### Solved Examples and Worksheet for Locating Decimals on a Number Line

Q1Which decimal on the number line does the point Q best represent?

A. 5.35
B. 5.19
C. 5.61
D. 5.95

Step: 1
Point Q lies in between 5.3 and 5.4.
Step: 2
Among the choices, 5.35 lies between 5.3 and 5.4.
Step: 3
So, Q represents the decimal 5.35.
Q2Which point best represents 1.81?

A. M
B. O
C. L
D. N

Step: 1
On the number line, 1.8 is very close to 1.81.
Step: 2
So, letter M best represents 1.81.
Q3Between which two points is 1.52 located?

A. H and I
B. G and H
C. cannot be determined
D. F and G

Step: 1
The decimal 1.52 is very much close to 1.5.
Step: 2
1.5 lies between the points G and H.
Step: 3
So, 1.52 would be located in between G and H.
Correct Answer is :   G and H
Q4Identify the missing decimal.

A. 0.7
B. 6.9
C. 0.8
D. 0.9

Step: 1
On the number line, the line between 0 and 1 is marked into 10 equal divisions.
Step: 2
So, each division has a value of 0.1.
Step: 3
Thus the divisions are marked as 0.1, 0.2, 0.3,.........
Step: 4
The missing numbers after 0.6 are 0.7, 0.8 and 0.9.
Step: 5
The marked number is 0.9.
Step: 6
So, 0.9 is the correct answer.
Q5Which number does point X represent on the number line?

A. 2.6
B. 3.4
C. 1.6
D. 2.4

Step: 1
The length between 0 and 1 is divided into 10 parts.
Step: 2
Each part represents 110.
Step: 3
The point X is marked on the 16th part on the number line.
Step: 4
1610 = 1.6
Step: 5
So, 1.6 is the number represented by the point X on the number line.
Q6Which point best represents 2.41?

A. L
B. M
C. N
D. O

Step: 1
On the number line, 2.4 is very close to 2.41.
Step: 2
So, letter O best represents 2.41.
Q7Which point best represents 2.41?

A. O
B. M
C. N

Step: 1
On the number line, 2.4 is very close to 2.41.
Step: 2
So, letter O best represents 2.41.
Q8Between which two points would the decimal 3.57 be located?

A. Between L and M
B. Between M and N
C. Between N and O

Step: 1
The decimal 3.57 is very much close to 3.6.
Step: 2
3.6 lies between the points L and M.
Step: 3
So, 3.57 would be located between L and M.
Correct Answer is :   Between L and M
Q9Which number does point N represent on the number line?

A. 1.6
B. 1.1
C. 2.4

Step: 1
The length between 0 and 1 is divided into 10 parts.
Step: 2
Each part represents 110.
Step: 3
The point N is marked on the 11th part on the number line.
Step: 4
1110 = 1.1
Step: 5
So, 1.1 is the number represented by the point N on the number line.
Q10Which point best represents 2.19?

A. M
B. N
C. O

Step: 1
On the number line, 2.2 is very close to 2.19.
Step: 2
So, letter N best represents 2.19.
Q11Which number does point Y represent on the number line?

A. 2.4
B. 0.8
C. 1.6

Step: 1
The length between 0 and 1 is divided into 10 parts.
Step: 2
Each part represents 110.
Step: 3
The point Y is marked on the 21th part on the number line.
Step: 4
2110 = 2.1
Step: 5
So, 2.1 is the number represented by the point Y on the number line.