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NCERT Solutions for Class 4th Maths Chapter 9 Sharing money and dividing by tens and hundreds — Patterns in Division

Book page 146 Updated on2026-09-19

Q1.
How much money will each get? Draw arrows linking the money and the children to answer the questions. 1. ₹30 shared equally among 3 children ______________
Answer
₹10₹10₹10
₹30 and the three children.

Each child gets ₹10.

₹30 = three ₹10 notes
Give one note to each child.
30 ÷ 3 = 10
Check: 3 × 10 = 30 ✓
Why it happens: Sharing equally means every child gets the same. Three equal parts of ₹30 are ₹10 each.
Q2.
2. ₹900 shared equally among 3 children ______________
Answer
₹100₹100₹100₹100₹100₹100₹100₹100₹100
₹900 and the three children.

Each child gets ₹300.

₹900 = nine ₹100 notes
Give three notes to each child.
900 ÷ 3 = 300
Check: 3 × 300 = 900 ✓
Tip: 9 ÷ 3 = 3, so 900 ÷ 3 = 300 — the same digits with two zeros behind.
Q3.
Using the above way of thinking, solve the following problems. Observe and explain the patterns that you notice below. A)
3 ÷ 3 = ______5 ÷ 5 = ______
30 ÷ 3 = ______50 ÷ 5 = ______
300 ÷ 3 = ______500 ÷ 5 = ______
Answer
QuestionAnswer
3 ÷ 31
30 ÷ 310
300 ÷ 3100
5 ÷ 51
50 ÷ 510
500 ÷ 5100

Column A of the book.

The pattern: when the number being shared becomes 10 times bigger, the share also becomes 10 times bigger.

Why it happens: 3 things shared by 3 give 1 each. 30 things are ten times as many, so each child gets ten times as much — 10 each.
Q4.
Using the above way of thinking, solve the following problems. Observe and explain the patterns that you notice below. B)
9 ÷ 3 = ______8 ÷ 4 = ______
90 ÷ 3 = ______80 ÷ 4 = ______
900 ÷ 3 = ______800 ÷ 4 = ______
Answer
QuestionAnswer
9 ÷ 33
90 ÷ 330
900 ÷ 3300
8 ÷ 42
80 ÷ 420
800 ÷ 4200

Column B of the book.

Again each answer is ten times the one above it, and a 0 joins at the end.

9 ÷ 3 = 3 → 90 ÷ 3 = 30 → 900 ÷ 3 = 300
8 ÷ 4 = 2 → 80 ÷ 4 = 20 → 800 ÷ 4 = 200
Check it yourself: 200 × 4 = 800 and 300 × 3 = 900.
Q5.
Using the above way of thinking, solve the following problems. Observe and explain the patterns that you notice below. C)
15 ÷ 3 = ______4 ÷ 2 = ______
150 ÷ 3 = ______20 ÷ 2 = ______
300 ÷ 3 = ______100 ÷ 2 = ______
Answer
QuestionAnswerHow it grows
15 ÷ 35start
150 ÷ 35010 times bigger
300 ÷ 31002 times bigger again
4 ÷ 22start
20 ÷ 2105 times bigger
100 ÷ 2505 times bigger again

Column C of the book.

Here the steps are not all ten-times. The share grows exactly as much as the amount grows.

150 is 10 times 15, so 50 is 10 times 5.
300 is 2 times 150, so 100 is 2 times 50.
20 is 5 times 4, so 10 is 5 times 2.
100 is 5 times 20, so 50 is 5 times 10.
Note: In the first group the book jumps 15 → 150 → 300, not 15 → 150 → 1500. So the last step doubles instead of being ten times. In the second group the jumps are five times each. Read the numbers carefully before you guess.
Q6.
A load carrying truck has 6 tyres. Chippi the lizard sees 60 tyres. How many trucks are there?
Answer

There are 10 trucks.

60 ÷ 6
6 × 10 = 60
So 60 ÷ 6 = 10 trucks
Why it happens: Each truck takes away one group of 6 tyres. Ten such groups make 60.
Q7.
Chippi sees 80 wheels in a car parking space. How many cars are standing in the parking space?
Answer

There are 20 cars.

A car has 4 wheels, so we find 80 ÷ 4.
8 ÷ 4 = 2, so 80 ÷ 4 = 20
Check: 20 × 4 = 80 ✓
Tip: 10 cars have 40 wheels. 80 wheels are twice as many, so there are twice as many cars.
Q8.
Chippi sees 600 legs of ants walking towards the anthill. How many ants are there?
Answer

There are 100 ants.

An ant has 6 legs, so we find 600 ÷ 6.
6 ÷ 6 = 1, so 600 ÷ 6 = 100
Check: 100 × 6 = 600 ✓
Why it happens: 600 is a hundred times 6, so the number of ants is a hundred times the 1 ant that has 6 legs.
Q9.
A fancy shop has packed 800 rubber bands in several packets. Each packet has 4 rubber bands. How many packets of rubber bands does the shop have?
Answer

The shop has 200 packets.

800 ÷ 4
8 ÷ 4 = 2, so 800 ÷ 4 = 200
Check: 200 × 4 = 800 ✓
Check it yourself: 100 packets hold 400 bands. 800 bands need twice as many packets, so 200.
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