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.

1. Let us find 15 ÷ 5.

Thus, 15 ÷ 5 = 3

Division on the Number Line:

For dividing on the number line, we do backward skip counting.

2. Let us divide 18 by 6 on the number line.

To divide 18 by 6 on the number line, we start from 18 and skip count backwards in 6s till we reach 0.

The number of jumps is 3.

Therefore, 18 ÷ 6 = 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

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

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

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

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

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.

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.

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.

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.

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.

So, 6 ÷ 3 = _____

Answer:

2. 2

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

(i)

14 ÷ 2 = 7

(ii)

12 ÷ 4 = _____

(iii)

18 ÷ 3 = _____

(iv)

16 ÷ 4 = _____

(v)

20 ÷ 4 = _____

(vi)

10 ÷ 5 = _____

(vii)

12 ÷ 3 = _____

Answer:

3. (ii) 3

(iii) 6

(iv) 4

(v) 5

(vi) 2

(vii) 4

4. Write the division fact and the repeated subtraction for each of the following. Also show the division on the number line.

(i) 16 packets of biscuits shared equally among 8 children

Division fact: _____ ÷ _____ = _____

Repeated subtraction: ____________________

Division on the number line:

(ii) 18 toffees distributed equally among 6 boys

Division fact: _____ ÷ _____ = _____

Repeated subtraction: ____________________

Division on the number line:

(iv) 20 toys distributed equally among 4 girls

Division fact: _____ ÷ _____ = _____

Repeated subtraction: ____________________

Division on the number line:

Answer:

4. (i) Division fact: 16 ÷ 8 = 2

Repeated subtraction: 16 - 8 - 8 = 0

(ii) Division fact: 18 ÷ 6 = 3

Repeated subtraction: 18 - 6 - 6 - 6 = 0

(iii) Division fact: 20 ÷ 4 = 5

Repeated subtraction: 20 - 4 - 4 - 4 - 4 - 4 = 0

2nd Grade Math Practice

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