Grade 5 multiplication worksheet focusing on finding missing factors in equations involving multiplication by 10, 100, or 1000.
Multiplying by 10, 100, or 1000 - missing factor worksheet for Grade 5 math practice.
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Show Answer Key & Explanations
Step-by-step solution for: Multiplying by 10, 100 or 1,000 (missing factors) worksheets | Worsheets library...
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Show Answer Key & Explanations
Step-by-step solution for: Multiplying by 10, 100 or 1,000 (missing factors) worksheets | Worsheets library...
Let's solve each problem in the worksheet step by step. The goal is to find the missing factor in each multiplication equation involving multiplying by 10, 100, or 1000.
---
When you multiply a number by:
- 10, you add one zero.
- 100, you add two zeros.
- 1000, you add three zeros.
But here, we're finding the missing factor, so we need to reverse this process — that is, divide.
So if:
> $ \text{Missing} \times \text{Number} = \text{Product} $
Then:
> $ \text{Missing} = \frac{\text{Product}}{\text{Number}} $
---
Let’s go through each problem:
---
1) $ \_\_\_\_\_\_ \times 98 = 98000 $
We divide:
$ \frac{98000}{98} = 1000 $
✔ Answer: 1000
---
2) $ 763 \times \_\_\_\_\_\_ = 7630 $
Divide:
$ \frac{7630}{763} = 10 $
✔ Answer: 10
---
3) $ \_\_\_\_\_\_ \times 807 = 8070 $
Divide:
$ \frac{8070}{807} = 10 $
✔ Answer: 10
---
4) $ 1000 \times \_\_\_\_\_\_ = 663000 $
Divide:
$ \frac{663000}{1000} = 663 $
✔ Answer: 663
---
5) $ 686 \times \_\_\_\_\_\_ = 686000 $
Divide:
$ \frac{686000}{686} = 1000 $
✔ Answer: 1000
---
6) $ 1000 \times \_\_\_\_\_\_ = 715000 $
Divide:
$ \frac{715000}{1000} = 715 $
✔ Answer: 715
---
7) $ \_\_\_\_\_\_ \times 10 = 8900 $
Divide:
$ \frac{8900}{10} = 890 $
✔ Answer: 890
---
8) $ \_\_\_\_\_\_ \times 1000 = 483000 $
Divide:
$ \frac{483000}{1000} = 483 $
✔ Answer: 483
---
9) $ \_\_\_\_\_\_ \times 1000 = 748000 $
Divide:
$ \frac{748000}{1000} = 748 $
✔ Answer: 748
---
10) $ \_\_\_\_\_\_ \times 718 = 718000 $
Divide:
$ \frac{718000}{718} = 1000 $
✔ Answer: 1000
---
11) $ 1000 \times \_\_\_\_\_\_ = 682000 $
Divide:
$ \frac{682000}{1000} = 682 $
✔ Answer: 682
---
12) $ \_\_\_\_\_\_ \times 115 = 115000 $
Divide:
$ \frac{115000}{115} = 1000 $
✔ Answer: 1000
---
13) $ \_\_\_\_\_\_ \times 1000 = 127000 $
Divide:
$ \frac{127000}{1000} = 127 $
✔ Answer: 127
---
14) $ \_\_\_\_\_\_ \times 1000 = 509000 $
Divide:
$ \frac{509000}{1000} = 509 $
✔ Answer: 509
---
15) $ \_\_\_\_\_\_ \times 689 = 689000 $
Divide:
$ \frac{689000}{689} = 1000 $
✔ Answer: 1000
---
16) $ \_\_\_\_\_\_ \times 1000 = 220000 $
Divide:
$ \frac{220000}{1000} = 220 $
✔ Answer: 220
---
| Problem | Missing Factor |
|--------|----------------|
| 1) | 1000 |
| 2) | 10 |
| 3) | 10 |
| 4) | 663 |
| 5) | 1000 |
| 6) | 715 |
| 7) | 890 |
| 8) | 483 |
| 9) | 748 |
| 10) | 1000 |
| 11) | 682 |
| 12) | 1000 |
| 13) | 127 |
| 14) | 509 |
| 15) | 1000 |
| 16) | 220 |
---
To find the missing factor when multiplying by powers of 10 (like 10, 100, 1000), just:
- Look at how many zeros are added to the original number.
- Divide the product by the known number.
For example:
- If 763 becomes 7630 → multiplied by 10
- If 763 becomes 76300 → multiplied by 100
- If 763 becomes 763000 → multiplied by 1000
This helps quickly identify the missing factor!
Let me know if you'd like a printable version or explanation for any specific problem!
---
🔢 Key Concept:
When you multiply a number by:
- 10, you add one zero.
- 100, you add two zeros.
- 1000, you add three zeros.
But here, we're finding the missing factor, so we need to reverse this process — that is, divide.
So if:
> $ \text{Missing} \times \text{Number} = \text{Product} $
Then:
> $ \text{Missing} = \frac{\text{Product}}{\text{Number}} $
---
Let’s go through each problem:
---
1) $ \_\_\_\_\_\_ \times 98 = 98000 $
We divide:
$ \frac{98000}{98} = 1000 $
✔ Answer: 1000
---
2) $ 763 \times \_\_\_\_\_\_ = 7630 $
Divide:
$ \frac{7630}{763} = 10 $
✔ Answer: 10
---
3) $ \_\_\_\_\_\_ \times 807 = 8070 $
Divide:
$ \frac{8070}{807} = 10 $
✔ Answer: 10
---
4) $ 1000 \times \_\_\_\_\_\_ = 663000 $
Divide:
$ \frac{663000}{1000} = 663 $
✔ Answer: 663
---
5) $ 686 \times \_\_\_\_\_\_ = 686000 $
Divide:
$ \frac{686000}{686} = 1000 $
✔ Answer: 1000
---
6) $ 1000 \times \_\_\_\_\_\_ = 715000 $
Divide:
$ \frac{715000}{1000} = 715 $
✔ Answer: 715
---
7) $ \_\_\_\_\_\_ \times 10 = 8900 $
Divide:
$ \frac{8900}{10} = 890 $
✔ Answer: 890
---
8) $ \_\_\_\_\_\_ \times 1000 = 483000 $
Divide:
$ \frac{483000}{1000} = 483 $
✔ Answer: 483
---
9) $ \_\_\_\_\_\_ \times 1000 = 748000 $
Divide:
$ \frac{748000}{1000} = 748 $
✔ Answer: 748
---
10) $ \_\_\_\_\_\_ \times 718 = 718000 $
Divide:
$ \frac{718000}{718} = 1000 $
✔ Answer: 1000
---
11) $ 1000 \times \_\_\_\_\_\_ = 682000 $
Divide:
$ \frac{682000}{1000} = 682 $
✔ Answer: 682
---
12) $ \_\_\_\_\_\_ \times 115 = 115000 $
Divide:
$ \frac{115000}{115} = 1000 $
✔ Answer: 1000
---
13) $ \_\_\_\_\_\_ \times 1000 = 127000 $
Divide:
$ \frac{127000}{1000} = 127 $
✔ Answer: 127
---
14) $ \_\_\_\_\_\_ \times 1000 = 509000 $
Divide:
$ \frac{509000}{1000} = 509 $
✔ Answer: 509
---
15) $ \_\_\_\_\_\_ \times 689 = 689000 $
Divide:
$ \frac{689000}{689} = 1000 $
✔ Answer: 1000
---
16) $ \_\_\_\_\_\_ \times 1000 = 220000 $
Divide:
$ \frac{220000}{1000} = 220 $
✔ Answer: 220
---
✔ Final Answers:
| Problem | Missing Factor |
|--------|----------------|
| 1) | 1000 |
| 2) | 10 |
| 3) | 10 |
| 4) | 663 |
| 5) | 1000 |
| 6) | 715 |
| 7) | 890 |
| 8) | 483 |
| 9) | 748 |
| 10) | 1000 |
| 11) | 682 |
| 12) | 1000 |
| 13) | 127 |
| 14) | 509 |
| 15) | 1000 |
| 16) | 220 |
---
📝 Summary Tip:
To find the missing factor when multiplying by powers of 10 (like 10, 100, 1000), just:
- Look at how many zeros are added to the original number.
- Divide the product by the known number.
For example:
- If 763 becomes 7630 → multiplied by 10
- If 763 becomes 76300 → multiplied by 100
- If 763 becomes 763000 → multiplied by 1000
This helps quickly identify the missing factor!
Let me know if you'd like a printable version or explanation for any specific problem!
Parent Tip: Review the logic above to help your child master the concept of multiplying by 10 100 and 1000 worksheet.