Let's solve this step by step.
We are asked to write the
expanded form of each number. The expanded form breaks down a number into the sum of its place values — hundreds, tens, and ones.
For example:
- 125 = 100 (hundreds) + 20 (tens) + 5 (ones)
We'll apply this method to each number.
---
a. 125
Already given:
125 =
100 + 20 + 5
✔ Correct!
---
b. 364
Break it down:
- 300 (hundreds)
- 60 (tens)
- 4 (ones)
So:
364 =
300 + 60 + 4
---
c. 471
- 400 (hundreds)
- 70 (tens)
- 1 (ones)
So:
471 =
400 + 70 + 1
---
d. 521
- 500
- 20
- 1
So:
521 =
500 + 20 + 1
---
e. 412
- 400
- 10
- 2
So:
412 =
400 + 10 + 2
---
f. 523
- 500
- 20
- 3
So:
523 =
500 + 20 + 3
---
g. 214
- 200
- 10
- 4
So:
214 =
200 + 10 + 4
---
h. 162
- 100
- 60
- 2
So:
162 =
100 + 60 + 2
---
i. 322
- 300
- 20
- 2
So:
322 =
300 + 20 + 2
---
j. 524
- 500
- 20
- 4
So:
524 =
500 + 20 + 4
---
k. 478
- 400
- 70
- 8
So:
478 =
400 + 70 + 8
---
l. 854
- 800
- 50
- 4
So:
854 =
800 + 50 + 4
---
m. 569
- 500
- 60
- 9
So:
569 =
500 + 60 + 9
---
✔ Final Answers:
| Number | Expanded Form |
|--------|----------------|
| a. 125 | 100 + 20 + 5 |
| b. 364 | 300 + 60 + 4 |
| c. 471 | 400 + 70 + 1 |
| d. 521 | 500 + 20 + 1 |
| e. 412 | 400 + 10 + 2 |
| f. 523 | 500 + 20 + 3 |
| g. 214 | 200 + 10 + 4 |
| h. 162 | 100 + 60 + 2 |
| i. 322 | 300 + 20 + 2 |
| j. 524 | 500 + 20 + 4 |
| k. 478 | 400 + 70 + 8 |
| l. 854 | 800 + 50 + 4 |
| m. 569 | 500 + 60 + 9 |
---
📌 Explanation:
The
expanded form shows how a number is made up of different place values:
- Hundreds (×100)
- Tens (×10)
- Ones (×1)
For example, in
364:
- 3 is in the hundreds place → 3 × 100 = 300
- 6 is in the tens place → 6 × 10 = 60
- 4 is in the ones place → 4 × 1 = 4
Add them: 300 + 60 + 4 = 364
This helps students understand the value of digits based on their position.
Let me know if you'd like this as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of write in expanded form worksheet.