Now fill the place value chart. Problem H T O 40 ÷ 10 = 4 400 ÷ 10 = 4 0 4000 ÷ 10 = 4 0 0 700 ÷ 70 = 1400 ÷ 100 = 220 ÷ 20 = 2200 ÷ 20 =

The first three rows are done in the book. Here is the whole chart. H means Hundreds, T means Tens, O means Ones. Problem H T O Quotient 40 ÷ 10 = 4 4 400 ÷ 10 = 4 0 40 4000 ÷ 10 = 4 0 0 400 700 ÷ 70 = 1 0 10 1400 ÷ 100 = 1 4 14 220 ÷ 20 = 1 1 11 2200 ÷ 20 = 1 1 0 110 How to do the last four, step by step. Take 2200 ÷ 20: Cover one zero at the end of both numbers. You are left with 220 ÷ 2. 220 ÷ 2 = 110. Check: 20 × 110 = 2,200 ✓ Why the digits shift: Dividing by 10 moves every digit one place to the right. The 4 in 4000 sits in the Thousands place; after dividing by 10 it sits in the Hundreds place, and the number is 400.

NCERT Solutions for Class 5th Maths Chapter 9 The blue boxes and the two place value charts — Patterns in Division and Place Value

Book page 121 Updated on2026-09-19

Q1.

Solve: 1000 ÷ 10, 1000 ÷ 100, 1600 ÷ 4, 2000 ÷ 2, 2000 ÷ 20, 3700 ÷ 37, 3300 ÷ 3, 3300 ÷ 300, 4000 ÷ 40. (Hints in the book: 10 × ___ = 1000 and 37 × ___ = 3700.)

Answer

Division	Think of this multiplication	Answer
1000 ÷ 10	10 × 100 = 1000	100
1000 ÷ 100	100 × 10 = 1000	10
1600 ÷ 4	4 × 400 = 1600	400
2000 ÷ 2	2 × 1000 = 2000	1000
2000 ÷ 20	20 × 100 = 2000	100
3700 ÷ 37	37 × 100 = 3700	100
3300 ÷ 3	3 × 1100 = 3300	1,100
3300 ÷ 300	300 × 11 = 3300	11
4000 ÷ 40	40 × 100 = 4000	100

The two hints filled in:

10 × 100 = 1000
37 × 100 = 3700

Look at the pair 3300 ÷ 3 and 3300 ÷ 300. The dividend is the same. The second divisor is 100 times bigger, so the answer is 100 times smaller: 1,100 becomes 11.

Q2.

Now fill the place value chart.

Problem	H	T	O
40 ÷ 10 =			4
400 ÷ 10 =		4	0
4000 ÷ 10 =	4	0	0
700 ÷ 70 =
1400 ÷ 100 =
220 ÷ 20 =
2200 ÷ 20 =

Answer

The first three rows are done in the book. Here is the whole chart. H means Hundreds, T means Tens, O means Ones.

Problem	H	T	O	Quotient
40 ÷ 10 =			4	4
400 ÷ 10 =		4	0	40
4000 ÷ 10 =	4	0	0	400
700 ÷ 70 =		1	0	10
1400 ÷ 100 =		1	4	14
220 ÷ 20 =		1	1	11
2200 ÷ 20 =	1	1	0	110

How to do the last four, step by step. Take 2200 ÷ 20:

Cover one zero at the end of both numbers. You are left with 220 ÷ 2.
220 ÷ 2 = 110.
Check: 20 × 110 = 2,200 ✓

Why the digits shift: Dividing by 10 moves every digit one place to the right. The 4 in 4000 sits in the Thousands place; after dividing by 10 it sits in the Hundreds place, and the number is 400.

Q3.

Fill the second place value chart: 110 ÷ 11, 860 ÷ 86, 7500 ÷ 750, 8800 ÷ 88, 2400 ÷ 24, 440 ÷ 22.

Answer

Problem	H	T	Quotient
110 ÷ 11 =		1	10
860 ÷ 86 =		1	10
7500 ÷ 750 =		1	10
8800 ÷ 88 =	1	0	100
2400 ÷ 24 =	1	0	100
440 ÷ 22 =		2	20

The trick for the first five: the dividend is the divisor with one or two zeros stuck on the end.

11 → 110 is one extra zero, so the answer is 10
86 → 860 is one extra zero, so the answer is 10
750 → 7500 is one extra zero, so the answer is 10
88 → 8800 is two extra zeros, so the answer is 100
24 → 2400 is two extra zeros, so the answer is 100

The last one is different. 440 ÷ 22:

Cover one zero of 440 and think 44 ÷ 22 = 2.
Put the zero back: the answer is 20.
Check: 22 × 20 = 440 ✓

Watch out: 440 ÷ 44 = 10 but 440 ÷ 22 = 20. The divisor 22 is half of 44, so the answer is twice as big. A smaller divisor always gives a bigger quotient.

Q4.

What is happening to the quotients in each case? Discuss.

Answer

Sample answer for the class discussion.

1. When the dividend grows ten times and the divisor stays the same, the quotient grows ten times.

40 ÷ 10 = 4
400 ÷ 10 = 40
4000 ÷ 10 = 400

Ten times as many things shared among the same number of groups means ten times as much for each group.

2. When both the dividend and the divisor grow ten times, the quotient does not change.

44 ÷ 22 = 2
440 ÷ 220 = 2
4400 ÷ 2200 = 2

Ten times as many sweets, but also ten times as many children — each child still gets the same.

3. When the divisor grows and the dividend stays the same, the quotient shrinks.

2200 ÷ 20 = 110
2200 ÷ 200 = 11

Why it happens: Division is sharing. More things to share means more each. More people to share with means less each. That is the whole idea behind every one of these patterns.

A quick way to use this: If both numbers end in a zero, cross one zero off each. 4000 ÷ 40 becomes 400 ÷ 4 = 100. Much easier, and the answer is exactly the same.

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