Let's solve each problem step by step by identifying the
missing place values in the expanded form of each number. We'll break down each number into its
place values:
-
Ten Thousands (10,000)
-
Thousands (1,000)
-
Hundreds (100)
-
Tens (10)
-
Ones (1)
---
1. 35544 = 30000 + 5000 + 500 + 40 + ?
Breakdown:
- 30000 → 3 × 10,000
- 5000 → 5 × 1,000
- 500 → 5 × 100
- 40 → 4 × 10
- Missing:
4 ones →
4
✔ Answer: 4
---
2. 93403 = 90000 + ? + ? + ? + 3
Breakdown:
- 90000 → 9 × 10,000
- 3000 → 3 × 1,000
- 400 → 4 × 100
- 0 tens → 0 × 10
- 3 → 3 × 1
So:
- 90000 +
3000 +
400 +
0 + 3
✔ Answers: 3000, 400, 0
---
3. 12823 = ? + 2000 + 800 + ? + ?
Breakdown:
- 10000 → 1 × 10,000
- 2000 → 2 × 1,000
- 800 → 8 × 100
- 20 → 2 × 10
- 3 → 3 × 1
So:
-
10000 + 2000 + 800 +
20 +
3
✔ Answers: 10000, 20, 3
---
4. 38867 = 30000 + ? + ? + 60 + 7
Breakdown:
- 30000 → 3 × 10,000
- 8000 → 8 × 1,000
- 800 → 8 × 100
- 60 → 6 × 10
- 7 → 7 × 1
So:
- 30000 +
8000 +
800 + 60 + 7
✔ Answers: 8000, 800
---
5. 53030 = ? + 3000 + ? + ? + 0
Breakdown:
- 50000 → 5 × 10,000
- 3000 → 3 × 1,000
- 0 hundreds → 0 × 100
- 30 → 3 × 10
- 0 → 0 × 1
So:
-
50000 + 3000 +
0 +
30 + 0
✔ Answers: 50000, 0, 30
---
6. 45454 = ? + ? + 400 + ? + 4
Breakdown:
- 40000 → 4 × 10,000
- 5000 → 5 × 1,000
- 400 → 4 × 100
- 50 → 5 × 10
- 4 → 4 × 1
So:
-
40000 +
5000 + 400 +
50 + 4
✔ Answers: 40000, 5000, 50
---
7. 47326 = ? + ? + 300 + 20 + ?
Breakdown:
- 40000 → 4 × 10,000
- 7000 → 7 × 1,000
- 300 → 3 × 100
- 20 → 2 × 10
- 6 → 6 × 1
So:
-
40000 +
7000 + 300 + 20 +
6
✔ Answers: 40000, 7000, 6
---
8. 65002 = 60000 + 5000 + ? + ? + 2
Breakdown:
- 60000 → 6 × 10,000
- 5000 → 5 × 1,000
- 0 hundreds → 0 × 100
- 0 tens → 0 × 10
- 2 → 2 × 1
So:
- 60000 + 5000 +
0 +
0 + 2
✔ Answers: 0, 0
---
✔ Final Answers:
1.
35544 = 30000 + 5000 + 500 + 40 +
4
2.
93403 = 90000 +
3000 +
400 +
0 + 3
3.
12823 =
10000 + 2000 + 800 +
20 +
3
4.
38867 = 30000 +
8000 +
800 + 60 + 7
5.
53030 =
50000 + 3000 +
0 +
30 + 0
6.
45454 =
40000 +
5000 + 400 +
50 + 4
7.
47326 =
40000 +
7000 + 300 + 20 +
6
8.
65002 = 60000 + 5000 +
0 +
0 + 2
---
🔍 Explanation:
To find missing place values:
- Look at the digit in each place (ten thousands, thousands, hundreds, tens, ones).
- Multiply that digit by its place value.
- Fill in the blank with the correct value.
For example, in
35544, the last digit is 4 → it's in the
ones place →
4.
This helps students understand how numbers are built from their
place values — a key concept in understanding number systems.
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 place value missing numbers worksheet.
