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

1. 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
2. 762
millions hundred thousands ten thousands thousands hundreds tens ones
Each is written
Expanded form
3. 1847

millions hundred thousands ten thousands thousands hundreds tens ones
Each is written
Expanded form
4. 6301

millions hundred thousands ten thousands thousands hundreds tens ones
Each is written
Expanded form
5. 16492

millions hundred thousands ten thousands thousands hundreds tens ones
Each is written
Expanded form
6. 74296

millions hundred thousands ten thousands thousands hundreds tens ones
Each is written
Expanded form

Answers to Exercise One

1. 300 +  20  + 9
2. 700 +  60  + 2
3. 1000 + 800 + 40 + 7
4. 6000 + 300 + 1
5. 10000 +  6000  +  400  +  90  + 2
6. 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

1. 400 +  10  +  6 =
2. 500 +  40  +  2 =
3. 5000 +  600  +  10  +  8 =
4. 4000 +  100  +  40  +  5 =
5. 20000 + 1000 + 800 + 10 + 2 =
6. 40000 + 200 + 5 =
7. 30000 + 4000 + 50 + 3 =
8. 200000 +  50000 +  3000 +  400  +  80  +  3 =
9. 300000 + 50000 +  6000 +  700  +  10  +  9 =
10. 1000000 + 400000 + 20000 + 3000 + 600 + 50 + 7 =

Answers to Exercise Two

1. 416
2. 542
3. 5618
4. 4145
5. 21812
6. 40205
7. 34053
8. 253483
9. 356719
10. 1423657

# Topic B: Self-Test

Mark / 12    Aim   10/12

1. Write each number in expanded form. (6 marks.)
1. 643
2. 759
3. 4821
4. 94205
5. 367542
6. 1850643
2. Write each number from its expanded form. (6 marks.)
1. 300 + 60 + 9 =
2. 700 + 5 =
3. 1000 + 400 + 90 + 1 =
4. 20000 + 1000 + 500 + 80 + 4 =
5. 500000 + 40000 + 2000 + 700 + 30 + 9 =
6. 3000000 + 900000 + 60000 + 8000 + 400 + 30 + 1 =

## Answers to Topic B Self-Test

1. 600 + 40 + 3
2. 700 + 50 + 9
3. 4000 + 800 + 20 + 1
4. 90000 + 4000 + 200 + 5
5. 300000 + 60000 + 7000 + 500 + 40 + 2
6. 1000000 + 800000 + 50000 + 600 + 40 + 3
1. 369
2. 705
3. 1491
4. 21584
5. 542739
6. 3968431