Let's solve each mystery number step by step based on the place values given.
---
1) The mystery number has...
- A 1 in the
Ten Thousands place → 10,000
- A 6 in the
Thousands place → 6,000
- A 4 in the
Tens place → 40
- A 6 in the
Ones place → 6
- A 7 in the
Hundreds place → 700
Now let's build the number:
We need to fill in the digits from left to right (from highest place value to lowest):
| Ten Thousands | Thousands | Hundreds | Tens | Ones |
|---------------|-----------|----------|------|------|
| 1 | 6 | 7 | 4 | 6 |
So the number is:
16,746
✔ Answer: 16,746
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2) The mystery number has...
- A 2 in the
Ten Thousands place → 20,000
- A 7 in the
Thousands place → 7,000
- A 8 in the
Hundreds place → 800
- A 6 in the
Tens place → 60
- A 5 in the
Ones place → 5
Place values:
| Ten Thousands | Thousands | Hundreds | Tens | Ones |
|---------------|-----------|----------|------|------|
| 2 | 7 | 8 | 6 | 5 |
Number:
27,865
✔ Answer: 27,865
---
3) The mystery number has...
- A 4 in the
Hundreds place → 400
- A 1 in the
Ten Thousands place → 10,000
- A 5 in the
Ones place → 5
- A 1 in the
Tens place → 10
- A 7 in the
Thousands place → 7,000
Now arrange them:
| Ten Thousands | Thousands | Hundreds | Tens | Ones |
|---------------|-----------|----------|------|------|
| 1 | 7 | 4 | 1 | 5 |
Number:
17,415
✔ Answer: 17,415
---
4) The mystery number has...
- A 5 in the
Ten Thousands place → 50,000
- A 6 in the
Hundreds place → 600
- A 3 in the
Thousands place → 3,000
- A 5 in the
Tens place → 50
- A 7 in the
Ones place → 7
Arrange:
| Ten Thousands | Thousands | Hundreds | Tens | Ones |
|---------------|-----------|----------|------|------|
| 5 | 3 | 6 | 5 | 7 |
Number:
53,657
✔ Answer: 53,657
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✔ Final Answers:
1)
16,746
2)
27,865
3)
17,415
4)
53,657
These are the mystery numbers based on the digit placements.
Parent Tip: Review the logic above to help your child master the concept of place value worksheet grade 8.
