Math worksheet for practicing multiplication by 10, 100, and 1,000.
A math worksheet titled "Multiplying by 10, 100, and 1,000" with exercises for practicing multiplication by powers of ten, including filling in blanks and identifying numbers multiplied by 100.
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Show Answer Key & Explanations
Step-by-step solution for: Multiplying by 10, 100, and 1,000 | 5th grade Math Worksheet ...
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Show Answer Key & Explanations
Step-by-step solution for: Multiplying by 10, 100, and 1,000 | 5th grade Math Worksheet ...
Let's solve the problem step by step. The task involves multiplying numbers by 10, 100, and 1,000, and also includes finding numbers that have been multiplied by these values.
---
We are given several numbers to multiply:
#### Example:
- $ 72 \times 10 = 720 $
- $ 4,700 \times 10 = 47,000 $
- $ 56 \times 100 = 5,600 $
- $ 384,000 \times 100 = 38,400,000 $
- $ 12 \times 1,000 = 12,000 $
- $ 97,000 \times 1,000 = 97,000,000 $
Now let’s solve each one in the worksheet.
---
#### 1. $ 408 \times 10 = ? $
- Move decimal point 1 place right → $ 4,080 $
#### 2. $ 346 \times 10 = ? $
- $ 3,460 $
#### 3. $ 352 \times 100 = ? $
- Move decimal 2 places right → $ 35,200 $
#### 4. $ 908 \times 100 = ? $
- $ 90,800 $
#### 5. $ 6,020 \times 10 = ? $
- $ 60,200 $
#### 6. $ 8,302 \times 100 = ? $
- $ 830,200 $
#### 7. $ 319 \times 10 = ? $
- $ 3,190 $
#### 8. $ 985 \times 10 = ? $
- $ 9,850 $
#### 9. $ 725 \times 100 = ? $
- $ 72,500 $
#### 10. $ 691 \times 100 = ? $
- $ 69,100 $
#### 11. $ 5,689 \times 10 = ? $
- $ 56,890 $
#### 12. $ 9,711 \times 100 = ? $
- $ 971,100 $
#### 13. $ 594 \times 10 = ? $
- $ 5,940 $
#### 14. $ 613 \times 10 = ? $
- $ 6,130 $
#### 15. $ 365 \times 100 = ? $
- $ 36,500 $
#### 16. $ 715 \times 100 = ? $
- $ 71,500 $
#### 17. $ 8,211 \times 10 = ? $
- $ 82,110 $
#### 18. $ 8,826 \times 100 = ? $
- $ 882,600 $
---
We are given results of multiplication by 100, so we divide by 100 to get original number.
#### 1. $ \_\_ \times 100 = 361,100 $
- $ 361,100 ÷ 100 = 3,611 $
#### 2. $ \_\_ \times 100 = 861,300 $
- $ 861,300 ÷ 100 = 8,613 $
#### 3. $ \_\_ \times 100 = 656,300 $
- $ 656,300 ÷ 100 = 6,563 $
#### 4. $ \_\_ \times 100 = 521,200 $
- $ 521,200 ÷ 100 = 5,212 $
#### 5. $ \_\_ \times 100 = 861,500 $
- $ 861,500 ÷ 100 = 8,615 $
#### 6. $ \_\_ \times 100 = 819,100 $
- $ 819,100 ÷ 100 = 8,191 $
#### 7. $ \_\_ \times 100 = 521,000 $
- $ 521,000 ÷ 100 = 5,210 $
#### 8. $ \_\_ \times 100 = 517,000 $
- $ 517,000 ÷ 100 = 5,170 $
---
#### 1. $ 6,712 \times 1,000 = ? $
- Move decimal 3 places right → $ 6,712,000 $
#### 2. $ 6,211 \times 1,000 = ? $
- $ 6,211,000 $
#### 3. $ 13,284 \times 1,000 = ? $
- $ 13,284,000 $
#### 4. $ 57,344 \times 1,000 = ? $
- $ 57,344,000 $
#### 5. $ 39,223 \times 1,000 = ? $
- $ 39,223,000 $
#### 6. $ 9,153 \times 1,000 = ? $
- $ 9,153,000 $
#### 7. $ 4,211 \times 1,000 = ? $
- $ 4,211,000 $
#### 8. $ 54,312 \times 1,000 = ? $
- $ 54,312,000 $
#### 9. $ 75,343 \times 1,000 = ? $
- $ 75,343,000 $
#### 10. $ 84,328 \times 1,000 = ? $
- $ 84,328,000 $
---
We divide by 1,000 to reverse the operation.
#### 1. $ \_\_ \times 1,000 = 164,000 $
- $ 164,000 ÷ 1,000 = 164 $
#### 2. $ \_\_ \times 1,000 = 5,121,000 $
- $ 5,121,000 ÷ 1,000 = 5,121 $
#### 3. $ \_\_ \times 1,000 = 6,169,000 $
- $ 6,169,000 ÷ 1,000 = 6,169 $
#### 4. $ \_\_ \times 1,000 = 9,850,000 $
- $ 9,850,000 ÷ 1,000 = 9,850 $
#### 5. $ \_\_ \times 1,000 = 8,161,000 $
- $ 8,161,000 ÷ 1,000 = 8,161 $
#### 6. $ \_\_ \times 1,000 = 6,199,000 $
- $ 6,199,000 ÷ 1,000 = 6,199 $
---
#### Multiply by 10, 100, 1,000
| Problem | Answer |
|--------|--------|
| 408 × 10 | 4,080 |
| 346 × 10 | 3,460 |
| 352 × 100 | 35,200 |
| 908 × 100 | 90,800 |
| 6,020 × 10 | 60,200 |
| 8,302 × 100 | 830,200 |
| 319 × 10 | 3,190 |
| 985 × 10 | 9,850 |
| 725 × 100 | 72,500 |
| 691 × 100 | 69,100 |
| 5,689 × 10 | 56,890 |
| 9,711 × 100 | 971,100 |
| 594 × 10 | 5,940 |
| 613 × 10 | 6,130 |
| 365 × 100 | 36,500 |
| 715 × 100 | 71,500 |
| 8,211 × 10 | 82,110 |
| 8,826 × 100 | 882,600 |
---
#### Find number × 100 = result
| Result | Original Number |
|--------|------------------|
| 361,100 | 3,611 |
| 861,300 | 8,613 |
| 656,300 | 6,563 |
| 521,200 | 5,212 |
| 861,500 | 8,615 |
| 819,100 | 8,191 |
| 521,000 | 5,210 |
| 517,000 | 5,170 |
---
#### Multiply by 1,000
| Problem | Answer |
|--------|--------|
| 6,712 × 1,000 | 6,712,000 |
| 6,211 × 1,000 | 6,211,000 |
| 13,284 × 1,000 | 13,284,000 |
| 57,344 × 1,000 | 57,344,000 |
| 39,223 × 1,000 | 39,223,000 |
| 9,153 × 1,000 | 9,153,000 |
| 4,211 × 1,000 | 4,211,000 |
| 54,312 × 1,000 | 54,312,000 |
| 75,343 × 1,000 | 75,343,000 |
| 84,328 × 1,000 | 84,328,000 |
---
#### Find number × 1,000 = result
| Result | Original Number |
|--------|------------------|
| 164,000 | 164 |
| 5,121,000 | 5,121 |
| 6,169,000 | 6,169 |
| 9,850,000 | 9,850 |
| 8,161,000 | 8,161 |
| 6,199,000 | 6,199 |
---
- Multiplying by 10: Add one zero or move decimal one place right.
- Multiplying by 100: Add two zeros or move decimal two places right.
- Multiplying by 1,000: Add three zeros or move decimal three places right.
- Dividing by 10, 100, 1,000: Reverse process — move decimal left.
This pattern works because our number system is base-10.
✔ All problems solved correctly using place value rules.
Let me know if you'd like this formatted as a printable answer sheet!
---
Part 1: Multiply by 10, 100, and 1,000
We are given several numbers to multiply:
#### Example:
- $ 72 \times 10 = 720 $
- $ 4,700 \times 10 = 47,000 $
- $ 56 \times 100 = 5,600 $
- $ 384,000 \times 100 = 38,400,000 $
- $ 12 \times 1,000 = 12,000 $
- $ 97,000 \times 1,000 = 97,000,000 $
Now let’s solve each one in the worksheet.
---
Write the answers in the boxes
#### 1. $ 408 \times 10 = ? $
- Move decimal point 1 place right → $ 4,080 $
#### 2. $ 346 \times 10 = ? $
- $ 3,460 $
#### 3. $ 352 \times 100 = ? $
- Move decimal 2 places right → $ 35,200 $
#### 4. $ 908 \times 100 = ? $
- $ 90,800 $
#### 5. $ 6,020 \times 10 = ? $
- $ 60,200 $
#### 6. $ 8,302 \times 100 = ? $
- $ 830,200 $
#### 7. $ 319 \times 10 = ? $
- $ 3,190 $
#### 8. $ 985 \times 10 = ? $
- $ 9,850 $
#### 9. $ 725 \times 100 = ? $
- $ 72,500 $
#### 10. $ 691 \times 100 = ? $
- $ 69,100 $
#### 11. $ 5,689 \times 10 = ? $
- $ 56,890 $
#### 12. $ 9,711 \times 100 = ? $
- $ 971,100 $
#### 13. $ 594 \times 10 = ? $
- $ 5,940 $
#### 14. $ 613 \times 10 = ? $
- $ 6,130 $
#### 15. $ 365 \times 100 = ? $
- $ 36,500 $
#### 16. $ 715 \times 100 = ? $
- $ 71,500 $
#### 17. $ 8,211 \times 10 = ? $
- $ 82,110 $
#### 18. $ 8,826 \times 100 = ? $
- $ 882,600 $
---
Find the number that has been multiplied by 100
We are given results of multiplication by 100, so we divide by 100 to get original number.
#### 1. $ \_\_ \times 100 = 361,100 $
- $ 361,100 ÷ 100 = 3,611 $
#### 2. $ \_\_ \times 100 = 861,300 $
- $ 861,300 ÷ 100 = 8,613 $
#### 3. $ \_\_ \times 100 = 656,300 $
- $ 656,300 ÷ 100 = 6,563 $
#### 4. $ \_\_ \times 100 = 521,200 $
- $ 521,200 ÷ 100 = 5,212 $
#### 5. $ \_\_ \times 100 = 861,500 $
- $ 861,500 ÷ 100 = 8,615 $
#### 6. $ \_\_ \times 100 = 819,100 $
- $ 819,100 ÷ 100 = 8,191 $
#### 7. $ \_\_ \times 100 = 521,000 $
- $ 521,000 ÷ 100 = 5,210 $
#### 8. $ \_\_ \times 100 = 517,000 $
- $ 517,000 ÷ 100 = 5,170 $
---
Write the answers in the boxes (multiply by 1,000)
#### 1. $ 6,712 \times 1,000 = ? $
- Move decimal 3 places right → $ 6,712,000 $
#### 2. $ 6,211 \times 1,000 = ? $
- $ 6,211,000 $
#### 3. $ 13,284 \times 1,000 = ? $
- $ 13,284,000 $
#### 4. $ 57,344 \times 1,000 = ? $
- $ 57,344,000 $
#### 5. $ 39,223 \times 1,000 = ? $
- $ 39,223,000 $
#### 6. $ 9,153 \times 1,000 = ? $
- $ 9,153,000 $
#### 7. $ 4,211 \times 1,000 = ? $
- $ 4,211,000 $
#### 8. $ 54,312 \times 1,000 = ? $
- $ 54,312,000 $
#### 9. $ 75,343 \times 1,000 = ? $
- $ 75,343,000 $
#### 10. $ 84,328 \times 1,000 = ? $
- $ 84,328,000 $
---
Find the number that has been multiplied by 1,000
We divide by 1,000 to reverse the operation.
#### 1. $ \_\_ \times 1,000 = 164,000 $
- $ 164,000 ÷ 1,000 = 164 $
#### 2. $ \_\_ \times 1,000 = 5,121,000 $
- $ 5,121,000 ÷ 1,000 = 5,121 $
#### 3. $ \_\_ \times 1,000 = 6,169,000 $
- $ 6,169,000 ÷ 1,000 = 6,169 $
#### 4. $ \_\_ \times 1,000 = 9,850,000 $
- $ 9,850,000 ÷ 1,000 = 9,850 $
#### 5. $ \_\_ \times 1,000 = 8,161,000 $
- $ 8,161,000 ÷ 1,000 = 8,161 $
#### 6. $ \_\_ \times 1,000 = 6,199,000 $
- $ 6,199,000 ÷ 1,000 = 6,199 $
---
✔ Final Answers Summary
#### Multiply by 10, 100, 1,000
| Problem | Answer |
|--------|--------|
| 408 × 10 | 4,080 |
| 346 × 10 | 3,460 |
| 352 × 100 | 35,200 |
| 908 × 100 | 90,800 |
| 6,020 × 10 | 60,200 |
| 8,302 × 100 | 830,200 |
| 319 × 10 | 3,190 |
| 985 × 10 | 9,850 |
| 725 × 100 | 72,500 |
| 691 × 100 | 69,100 |
| 5,689 × 10 | 56,890 |
| 9,711 × 100 | 971,100 |
| 594 × 10 | 5,940 |
| 613 × 10 | 6,130 |
| 365 × 100 | 36,500 |
| 715 × 100 | 71,500 |
| 8,211 × 10 | 82,110 |
| 8,826 × 100 | 882,600 |
---
#### Find number × 100 = result
| Result | Original Number |
|--------|------------------|
| 361,100 | 3,611 |
| 861,300 | 8,613 |
| 656,300 | 6,563 |
| 521,200 | 5,212 |
| 861,500 | 8,615 |
| 819,100 | 8,191 |
| 521,000 | 5,210 |
| 517,000 | 5,170 |
---
#### Multiply by 1,000
| Problem | Answer |
|--------|--------|
| 6,712 × 1,000 | 6,712,000 |
| 6,211 × 1,000 | 6,211,000 |
| 13,284 × 1,000 | 13,284,000 |
| 57,344 × 1,000 | 57,344,000 |
| 39,223 × 1,000 | 39,223,000 |
| 9,153 × 1,000 | 9,153,000 |
| 4,211 × 1,000 | 4,211,000 |
| 54,312 × 1,000 | 54,312,000 |
| 75,343 × 1,000 | 75,343,000 |
| 84,328 × 1,000 | 84,328,000 |
---
#### Find number × 1,000 = result
| Result | Original Number |
|--------|------------------|
| 164,000 | 164 |
| 5,121,000 | 5,121 |
| 6,169,000 | 6,169 |
| 9,850,000 | 9,850 |
| 8,161,000 | 8,161 |
| 6,199,000 | 6,199 |
---
🔍 Explanation
- Multiplying by 10: Add one zero or move decimal one place right.
- Multiplying by 100: Add two zeros or move decimal two places right.
- Multiplying by 1,000: Add three zeros or move decimal three places right.
- Dividing by 10, 100, 1,000: Reverse process — move decimal left.
This pattern works because our number system is base-10.
✔ All problems solved correctly using place value rules.
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of multiplying 10 100 1000 worksheet.