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Division as Repeated Subtraction on a Number Line

example 1: Find 15 ÷ 3 using a number line.
1 5
Solution: Let us start from 15. –3 1

Take jumps towards the left. In each jump, cover 1 2

3 numbers. –3 2
9
We take 5 jumps to reach zero. –3 3
6
5 4 3 2 1 –3 4
3
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
–3 5
We also check how many times 3 has been subtracted 0
from 15.

Clearly, 5 times. Thus, 15 ÷ 3 = 5

example 2: Using repeated subtraction on the number line divide 20 by 5.
Solution: Let us start from 20 and take the jumps of 5 each time to reach up to 0.

4 3 2 1

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
5 – 5 = 0 10 – 5 = 5 15 – 5 = 10 20 – 5 = 15

Here, we see that 4 times 5 has been subtracted from 20 to reach zero.
Thus, 20 ÷ 5 = 4

Knowledge Desk
l Subtraction symbol ‘–’ present in ‘÷’ symbol indicates the subtraction process in division.
l Two dots in ‘÷’ symbol are not joined means ‘÷’ symbol is unlike ‘+’ and ‘×’.

Practice Time 6C

1. Use repeated subtraction for distributing the following.

(a) 14 erasers among 7 children. Each child gets __________ erasers.

(b) 12 balls among 3 girls. Each girl gets __________ balls.

(c) 36 kites among 6 boys. Each boy gets __________ kites.
(d) 20 pencils among 5 students. Each student gets __________ pencils.

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