NCERT Solutions for Class 4th Maths Chapter 9 Equal Groups
Updated on 2026-09-19
About this chapter
Skip counting along a path gives the multiples of a number; numbers on two animals’ paths are common multiples . Things set in equal rows and columns make an array , and an array is a picture of a multiplication statement. In 12 × 3 = 36, 12 is the number of groups (multiplier), 3 is the group size (multiplicand) and 36 is the product. To multiply a big number, split it into hundreds, tens and ones, multiply each part and add: 125 × 8 = 800 + 160 + 40 = 1000. Ten-times and hundred-times just add zeros: 6 × 8 = 48, so 60 × 8 = 480 and 600 × 8 = 4800. Division is taking away equal groups until nothing (or only a small remainder) is left, as in 58 ÷ 3 = 19 with 1 wheel left over.
- Fill in the blank spaces with the appropriate numbers
- The rabbit and the kangaroo
- Jumping to 60
- Common multiples, the cat and the rat, and a number hunt
- Multiplication statement
- Rows, columns and arrays
- Radha’s baking trays
- Magician Anvi doubles the flowers
- The multiplication chart
- Patterns in the multiplication chart
Quick revision
| Idea | What it means | Example from the chapter | Answer |
|---|---|---|---|
| Multiple | A number you land on while skip counting | The frog jumps 3 steps at a time | 3, 6, 9, 12, 15 … |
| Common multiple | A number on both animals’ paths | Rabbit (6s) and kangaroo (8s) | 24, 48, 72, 96 |
| Array | Equal rows and columns | Marigold box: 3 rows of 12 | 3 × 12 = 36 |
| Multiplier | Number of groups | 18 boxes of cupcakes | 18 |
| Multiplicand | Size of each group | 4 cupcakes in each box | 4 |
| Product | The answer of a multiplication | 18 × 4 | 72 |
| Doubling | Two equal groups of the same number | Double of 23 flowers | 46 |
| Splitting into tens | Break the multiplier into 10s and ones | 23 × 8 = (20 × 8) + (3 × 8) | 160 + 24 = 184 |
| Multiples of 10 | Ten-times adds one zero | 6 × 8 = 48 | 60 × 8 = 480 |
| Multiples of 100 | Hundred-times adds two zeros | 5 × 4 = 20 | 500 × 4 = 2000 |
| Division as sharing | Same number for each group | 108 people in 9 boats | 12 each |
| Repeated subtraction | Take away equal groups and count them | 58 wheels, 3 per tempo | 19 tempos, 1 wheel left |
Exercises
- Fill in the blank spaces with the appropriate numbers — Animal Jumps Page 128
- The rabbit and the kangaroo — Animal Jumps Page 129
- Jumping to 60 — Animal Jumps Page 130
- Common multiples, the cat and the rat, and a number hunt — Common Multiples Page 130
- Multiplication statement — Gulabo’s Garden Page 131
- Rows, columns and arrays — Gulabo’s Garden Page 132
- Radha’s baking trays — Gulabo’s Garden Page 133
- Magician Anvi doubles the flowers — The Doubling Magic Page 134
- The multiplication chart — In-text Questions Page 135
- Patterns in the multiplication chart — In-text Questions Page 136
- Counting wheels in tens — Multiples of Tens Page 137
- Breaking the number of groups into tens — Multiplying Using 10s Page 138
- Multiplication word problems — Let Us Solve Page 139
- Taking away equal groups — Division Page 140
- How many cows? — Division Page 141
- Division word problems — Let Us Solve Page 141
- Hundred-times — Multiples of 100 Page 142
- Observe the pattern and complete the answers — In-text Questions Page 143
- The electric autorickshaws — More Multiplication Page 143
- Kahlu and Rabia’s kulhads — More Multiplication Page 144
- Bigger multiplication problems — Let Us Solve Page 144–145
- Sharing equally among 9 boats — More Division Page 145
- Sharing money and dividing by tens and hundreds — Patterns in Division Page 146
- Mixed multiplication and division problems — Let Us Solve Page 147
- Solve, and true-or-false statements — Let Us Solve Page 148