Let's solve each problem step by step to find the missing place value in each 5-digit number. We'll break down the given numbers and use addition to determine the missing component.
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1. ___ + 90,000 + 600 + 9,000 + 8 = 99,638
Break down the known values:
- 90,000
- 9,000 → total so far: 99,000
- 600 → 99,600
- 8 → 99,608
Now subtract from the total:
99,638 - 99,608 =
30
✔ So, missing value =
30
Answer:
30
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2. ___ + 100 + 90 + 4,000 + 8 = 64,198
Add known values:
- 4,000
- 100 → 4,100
- 90 → 4,190
- 8 → 4,198
Now subtract:
64,198 - 4,198 =
60,000
✔ Missing value =
60,000
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3. 20 + 50,000 + 400 + ___ + 3 = 56,423
Add known values:
- 50,000
- 400 → 50,400
- 20 → 50,420
- 3 → 50,423
Total so far: 50,423
Target: 56,423
Subtract: 56,423 - 50,423 =
6,000
✔ Missing value =
6,000
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4. 0 + 0 + 900 + 5,000 + ___ = 45,900
Add known:
- 5,000 + 900 = 5,900
45,900 - 5,900 =
40,000
✔ Missing value =
40,000
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5. 6 + 700 + ___ + 10,000 + 70 = 16,776
Add known:
- 10,000
- 700 → 10,700
- 70 → 10,770
- 6 → 10,776
Target: 16,776
So: 16,776 - 10,776 =
6,000
✔ Missing value =
6,000
---
6. 2 + 80 + ___ + 6,000 + 90,000 = 96,782
Add known:
- 90,000 + 6,000 = 96,000
- 80 → 96,080
- 2 → 96,082
Target: 96,782
96,782 - 96,082 =
700
✔ Missing value =
700
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7. 90 + 30,000 + 600 + ___ + 5 = 33,695
Add known:
- 30,000
- 600 → 30,600
- 90 → 30,690
- 5 → 30,695
Target: 33,695
33,695 - 30,695 =
3,000
✔ Missing value =
3,000
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8. 5 + 800 + 8,000 + ___ + 90 = 48,895
Add known:
- 8,000
- 800 → 8,800
- 90 → 8,890
- 5 → 8,895
Target: 48,895
48,895 - 8,895 =
40,000
✔ Missing value =
40,000
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9. 6 + 600 + 6,000 + 20 + ___ = 96,626
Add known:
- 6,000
- 600 → 6,600
- 20 → 6,620
- 6 → 6,626
Target: 96,626
96,626 - 6,626 =
90,000
✔ Missing value =
90,000
---
10. 50,000 + 800 + 40 + ___ + 8 = 55,848
Add known:
- 50,000
- 800 → 50,800
- 40 → 50,840
- 8 → 50,848
Target: 55,848
55,848 - 50,848 =
5,000
✔ Missing value =
5,000
---
11. 4 + 20 + 600 + ___ + 20,000 = 22,624
Add known:
- 20,000
- 600 → 20,600
- 20 → 20,620
- 4 → 20,624
Target: 22,624
22,624 - 20,624 =
2,000
✔ Missing value =
2,000
---
12. 4 + 20 + ___ + 0 + 10,000 = 10,524
Add known:
- 10,000
- 20 → 10,020
- 4 → 10,024
Target: 10,524
10,524 - 10,024 =
500
✔ Missing value =
500
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✔ Final Answers:
1.
30
2.
60,000
3.
6,000
4.
40,000
5.
6,000
6.
700
7.
3,000
8.
40,000
9.
90,000
10.
5,000
11.
2,000
12.
500
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📝 Explanation:
Each problem is a 5-digit number broken into its place values (ones, tens, hundreds, thousands, ten-thousands). You add up all the known values and subtract from the total to find the missing one. This reinforces understanding of
place value and
addition in large numbers.
Let me know if you'd like this as a printable worksheet or with visual breakdowns!
Parent Tip: Review the logic above to help your child master the concept of place value worksheet 4th grade free printable.
