Unit 1: Number Sense
Topic B: Expanded Form
When we write a number in expanded form, each digit is written with its place value.
Example:
| millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones | |
|---|---|---|---|---|---|---|---|
| 598 is made of | 5 | 9 | 8 | ||||
| Each is written | 500 | 90 | 8 | ||||
| Expanded form | 500 + 90 + 8 |
Example:
| millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones | |
|---|---|---|---|---|---|---|---|
| 1068 is made of | 1 | 0 | 6 | 8 | |||
| Each is written | 1000 | 60 | 8 | ||||
| Expanded form | 1000 + 60 + 8 |
Example:
| millions | hundred thousands | ten thousands | thousands | hundreds | tens | ones | |
|---|---|---|---|---|---|---|---|
| 243690 is made of | 2 | 4 | 3 | 6 | 9 | 0 | |
| Each is written | 200000 | 40000 | 3000 | 600 | 90 | 0 | |
| Expanded form | 200000 + 40000 + 3000 + 600 + 90 |
Exercise One
- 329
millions hundred thousands ten thousands thousands hundreds tens ones 329 is made of 3 2 9 Each is written 300 20 9 Expanded form 300 + 20 + 9 - 762
millions hundred thousands ten thousands thousands hundreds tens ones is made of Each is written Expanded form - 1847
millions hundred thousands ten thousands thousands hundreds tens ones is made of Each is written Expanded form - 6301
millions hundred thousands ten thousands thousands hundreds tens ones is made of Each is written Expanded form - 16492
millions hundred thousands ten thousands thousands hundreds tens ones is made of Each is written Expanded form - 74296
millions hundred thousands ten thousands thousands hundreds tens ones is made of Each is written Expanded form
Answers to Exercise One
- 300 + 20 + 9
- 700 + 60 + 2
- 1000 + 800 + 40 + 7
- 6000 + 300 + 1
- 10000 + 6000 + 400 + 90 + 2
- 70000 + 4000 + 200 + 90 + 6
Exercise Two
Write each number from expanded form. Check your work using the answer key at the end of the exercise.
Example: 600 + 30 + 7 = 637
Example: 7000 + 500 + 40 + 1 = 7541
Example: 4000000 + 600000 + 70000 + 8000 + 900 + 3 = 4678903
- 400 + 10 + 6 =
- 500 + 40 + 2 =
- 5000 + 600 + 10 + 8 =
- 4000 + 100 + 40 + 5 =
- 20000 + 1000 + 800 + 10 + 2 =
- 40000 + 200 + 5 =
- 30000 + 4000 + 50 + 3 =
- 200000 + 50000 + 3000 + 400 + 80 + 3 =
- 300000 + 50000 + 6000 + 700 + 10 + 9 =
- 1000000 + 400000 + 20000 + 3000 + 600 + 50 + 7 =
Answers to Exercise Two
- 416
- 542
- 5618
- 4145
- 21812
- 40205
- 34053
- 253483
- 356719
- 1423657
Topic B: Self-Test
Mark / 12 Aim 10/12
- Write each number in expanded form. (6 marks.)
- 643
- 759
- 4821
- 94205
- 367542
- 1850643
- Write each number from its expanded form. (6 marks.)
- 300 + 60 + 9 =
- 700 + 5 =
- 1000 + 400 + 90 + 1 =
- 20000 + 1000 + 500 + 80 + 4 =
- 500000 + 40000 + 2000 + 700 + 30 + 9 =
- 3000000 + 900000 + 60000 + 8000 + 400 + 30 + 1 =
Answers to Topic B Self-Test
-
- 600 + 40 + 3
- 700 + 50 + 9
- 4000 + 800 + 20 + 1
- 90000 + 4000 + 200 + 5
- 300000 + 60000 + 7000 + 500 + 40 + 2
- 1000000 + 800000 + 50000 + 600 + 40 + 3
-
- 369
- 705
- 1491
- 21584
- 542739
- 3968431