Let's solve each problem step by step. The goal is to
identify the missing numbers when a number is written in
expanded form, based on its
place value.
---
🔢 Place Value Reminder:
For a 5-digit number:
Ten Thousands | Thousands | Hundreds | Tens | Ones
We break down each digit according to its place value.
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✔ Problem 1:
35544 = 30000 + 5000 + 500 + 40 + ?
Breakdown of 35544:
- 3 → 30000 (ten thousands)
- 5 → 5000 (thousands)
- 5 → 500 (hundreds)
- 4 → 40 (tens)
- 4 → 4 (ones)
✔ Missing:
4
>
Answer: 4
---
✔ Problem 2:
93403 = 90000 + ? + ? + ? + 3
Breakdown of 93403:
- 9 → 90000
- 3 → 3000 (thousands)
- 4 → 400 (hundreds)
- 0 → 0 (tens)
- 3 → 3 (ones)
So:
- 90000 +
3000 +
400 +
0 + 3
✔ Missing:
3000, 400, 0
>
Answers: 3000, 400, 0
---
✔ Problem 3:
12823 = ? + 2000 + 800 + ? + ?
Breakdown:
- 1 → 10000 (ten thousands)
- 2 → 2000 (thousands)
- 8 → 800 (hundreds)
- 2 → 20 (tens)
- 3 → 3 (ones)
So:
-
10000 + 2000 + 800 +
20 +
3
✔ Missing:
10000, 20, 3
>
Answers: 10000, 20, 3
---
✔ Problem 4:
38867 = 30000 + ? + ? + 60 + 7
Breakdown:
- 3 → 30000
- 8 → 8000 (thousands)
- 8 → 800 (hundreds)
- 6 → 60 (tens)
- 7 → 7 (ones)
So:
- 30000 +
8000 +
800 + 60 + 7
✔ Missing:
8000, 800
>
Answers: 8000, 800
---
✔ Problem 5:
53030 = ? + 3000 + ? + ? + 0
Breakdown:
- 5 → 50000 (ten thousands)
- 3 → 3000 (thousands)
- 0 → 0 (hundreds)
- 3 → 30 (tens)
- 0 → 0 (ones)
So:
-
50000 + 3000 +
0 +
30 + 0
✔ Missing:
50000, 0, 30
>
Answers: 50000, 0, 30
---
✔ Problem 6:
45454 = ? + ? + 400 + ? + 4
Breakdown:
- 4 → 40000
- 5 → 5000
- 4 → 400
- 5 → 50
- 4 → 4
So:
-
40000 +
5000 + 400 +
50 + 4
✔ Missing:
40000, 5000, 50
>
Answers: 40000, 5000, 50
---
✔ Problem 7:
47326 = ? + ? + 300 + 20 + ?
Breakdown:
- 4 → 40000
- 7 → 7000
- 3 → 300
- 2 → 20
- 6 → 6
So:
-
40000 +
7000 + 300 + 20 +
6
✔ Missing:
40000, 7000, 6
>
Answers: 40000, 7000, 6
---
✔ Problem 8:
65002 = 60000 + 5000 + ? + ? + 2
Breakdown:
- 6 → 60000
- 5 → 5000
- 0 → 0 (hundreds)
- 0 → 0 (tens)
- 2 → 2
So:
- 60000 + 5000 +
0 +
0 + 2
✔ Missing:
0, 0
>
Answers: 0, 0
---
✔ Final Answers:
| Number | Expanded Form |
|--------|----------------|
| 35544 | 30000 + 5000 + 500 + 40 +
4 |
| 93403 | 90000 +
3000 +
400 +
0 + 3 |
| 12823 |
10000 + 2000 + 800 +
20 +
3 |
| 38867 | 30000 +
8000 +
800 + 60 + 7 |
| 53030 |
50000 + 3000 +
0 +
30 + 0 |
| 45454 |
40000 +
5000 + 400 +
50 + 4 |
| 47326 |
40000 +
7000 + 300 + 20 +
6 |
| 65002 | 60000 + 5000 +
0 +
0 + 2 |
---
🎯 Summary of Missing Numbers:
1.
4
2.
3000, 400, 0
3.
10000, 20, 3
4.
8000, 800
5.
50000, 0, 30
6.
40000, 5000, 50
7.
40000, 7000, 6
8.
0, 0
✔ All solved using
place value understanding!
Let me know if you'd like this as a printable answer key!
Parent Tip: Review the logic above to help your child master the concept of place value sheets for grade 5.
