NCERT Solutions for Class 5th Maths Chapter 9 Solve these division problems, notice the patterns and discuss in class — Let Us Do (Question 2)

Book page 121 Updated on2026-09-19

Q1.

2. Solve the following division problems: 150 ÷ 3, 80 ÷ 4, 500 ÷ 5, 100 ÷ 10, 300 ÷ 100, 500 ÷ 50, 200 ÷ 20, 440 ÷ 44, 630 ÷ 63. (Hints in the book: ___ × 3 = 150, 5 × ___ = 500, 44 × __ = 440.)

Answer

Use the hint each time: think of the multiplication that goes with the division.

Division	Think of this multiplication	Answer
150 ÷ 3	50 × 3 = 150	50
80 ÷ 4	20 × 4 = 80	20
500 ÷ 5	5 × 100 = 500	100
100 ÷ 10	10 × 10 = 100	10
300 ÷ 100	100 × 3 = 300	3
500 ÷ 50	50 × 10 = 500	10
200 ÷ 20	20 × 10 = 200	10
440 ÷ 44	44 × 10 = 440	10
630 ÷ 63	63 × 10 = 630	10

The three hints filled in:

50 × 3 = 150
5 × 100 = 500
44 × 10 = 440

Check it yourself: Multiply the answer by the divisor and see if you get back the dividend. 50 × 3 = 150 ✓, 100 × 5 = 500 ✓, 10 × 63 = 630 ✓.

Q2.

What patterns do you notice here? What is happening to the quotients in each case? Discuss.

Answer

Sample answer for the class discussion — three patterns.

Pattern 1 — a number divided by ten times itself always gives 10.

440 ÷ 44 = 10
630 ÷ 63 = 10
500 ÷ 50 = 10
200 ÷ 20 = 10

Look carefully: 440 is 44 with a zero added, 630 is 63 with a zero added. Adding a zero multiplies a number by 10, so the answer must be 10 every time.

Pattern 2 — a bigger divisor gives a smaller quotient.

500 ÷ 5 = 100
500 ÷ 50 = 10
500 ÷ 500 = 1

The same 500 is being shared. When the divisor becomes 10 times bigger, the quotient becomes 10 times smaller.

Pattern 3 — you only need the small table fact.

15 ÷ 3 = 5, so 150 ÷ 3 = 50
8 ÷ 4 = 2, so 80 ÷ 4 = 20
3 ÷ 3 = 1, so 300 ÷ 100 = 3

Why it happens: A zero at the end of a number means ten times as much. If the dividend gets ten times bigger and the divisor stays the same, the answer must also be ten times bigger — because each group is now sharing ten times as many things.

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