Divide on a Number Line

How to divide on a number line?

Learn to divide using number line to find the quotient.

We can do repeated subtraction on the number line to find division.

Let us find 15 ÷ 5.

Divide on Number Line

Thus, 15 ÷ 5 = 3


Solved Examples to show Divide on a Number Line:

1. Solve 14 ÷ 7

Solution:

7 is subtracted repeatedly from 14 using the number line

Divide on a Number Line

When 7 is subtracted 2 times from 14 in the number line, then we get the remainder zero.

Thus, 7 is subtracted from 14, 2 times.

Hence, 14 ÷ 7 = 2, 2 is the quotient.

2. Divide 40 ÷ 8

Using the number line 8 is subtracted repeatedly from 40

Divide on Number Line

When 8 is subtracted 5 times from 40 in the number line, then we get the remainder zero.

Thus, 8 is subtracted from 40, 5 times.

Hence, 40 ÷ 8 = 5, 5 is the quotient.


3. Solve 24 by 6

Solution:

6 is subtracted repeatedly from 24 using the number line

Divide using the Number Line

When 6 is subtracted 4 times from 24 in the number line, then we get the remainder zero.

Thus, 6 can be subtracted from 24, 4 times.

Hence, 24 ÷ 6 = 4, 4 is the quotient.


4. Divide 15 ÷ 3

3 is subtracted repeatedly from 15 using the number line

Divide using Number Line

3 is subtracted from 15, five times in the number line, then we get the remainder zero.

Thus, 3 can be subtracted from 15 five times.

Hence, 15 ÷ 3 = 5, 5 is the quotient.


5. Divide 63 ÷ 9

9 is subtracted repeatedly from 63 using the number line

Division using Number Line

9 is subtracted from 63, seven times in the number line, then we get the remainder zero.

Thus, 9 can be subtracted from 63 seven times.

Hence, 63 ÷ 9 = 7, 7 is the quotient.



On the number line, we can show repeated subtraction by counting backward in equal jumps.


6. Divide 12 by 2.

Repeated Subtraction

Start from 12. Jump backwards by taking jumps of 2 steps each. Stop at 0.

Note that 6 jumps are needed to reach 0.

12 - 2 = 10; 10 - 2 = 8; 8 - 2 = 6; 6 - 2 = 4; 4 - 2 = 2; 2 - 2 = 0

We write: 12 ÷ 2 = 6

We read: 12 divided by 2 equals 6.


7. Divide 15 by 5.

Divide on a Number Line

Start from 15. Jump backwards by taking jumps of 5 steps each. Stop at 0.

Note that 3 jumps are needed to reach 0.

15 - 5 = 10; 10 - 5 = 5; 5 - 5 = 0

We write: 15 ÷ 5 =3 

We read: 15 divided by 5 equals 3.


Division on a Number Line

8. Divide 12 by 4 using number line.

Number line can be used for division. Let us divide 12 by 4 using the number line.

Divide 12 by 4 on Number Line

To divide 12 by 4, place your finger on the number 12. Now, take jumps of 4 each to reach 0. The number of jumps is 3. So, 12 ÷ 4 = 3. 

Division of Whole Numbers on Number Line

Using the number line, write the whole number which is quotient of 14 ÷ 7. Since division is repeated subtraction, therefore, to evaluate 14 ÷ 7, first start from 14 and move 7 units at a time to the left till 0 is reached, as shown in the following figure.

Division of Whole Numbers on Number Line

Hence, 14 ÷ 7 = number of moves = 2.


The above examples will help us to solve various division problems on 1-digit number and 2-digit number by a single digit number using number line.


Questions and Answers on Division on a Number Line:

1. Use the number line to find the division by repeated subtraction.

(i) Find 12 ÷ 2

12 ÷ 2 = _____ 


(ii) Find 18 ÷ 3

18 ÷ 3 = _____ 


(iii) Find 20 ÷ 4

20 ÷ 4 = _____ 


Answer:

(i) 12 ÷ 2 = 6

(ii) 18 ÷ 3 = 6

(iii) 20 ÷ 4 = 5


2. Divide 6 by 3.

Number Line from 0 to 20

So, 6 ÷ 3 = _____


Answer:

2. 2


3. Divide on the number line. One has been done for you.

(i)

14 Divided by 2

14 ÷ 2 = 7


(ii)

Number Line from 0 to 20

12 ÷ 4 = _____


(iii)

Number Line from 0 to 20

18 ÷ 3 = _____


(iv)

Number Line from 0 to 20

16 ÷ 4 = _____


(v)

Number Line from 0 to 20

20 ÷ 4 = _____


(vi)

Number Line from 0 to 20

10 ÷ 5 = _____


(vii)

Number Line from 0 to 20

12 ÷ 3 = _____

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