Estimating Products Interactive Worksheet - Edform - Free Printable
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Step-by-step solution for: Estimating Products Interactive Worksheet - Edform
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Show Answer Key & Explanations
Step-by-step solution for: Estimating Products Interactive Worksheet - Edform
Let's solve this step by step. The task is to estimate each product. Estimating means rounding the numbers to make multiplication easier, usually to the nearest ten, hundred, or thousand, depending on the size of the number.
We'll go through each problem and estimate the product using rounding.
---
- Round one or both numbers to a nearby multiple of 10, 100, or 1000.
- Multiply the rounded numbers.
- Write the estimated result.
---
Now let’s solve each:
---
1. $5 \times 21$
→ Round 21 → 20
→ $5 \times 20 = 100$
✔ 100
---
2. $3 \times 39$
→ Round 39 → 40
→ $3 \times 40 = 120$
✔ 120
---
3. $7 \times \$46$
→ Round 46 → 50
→ $7 \times 50 = 350$
✔ \$350
---
4. $85 \times 6$
→ Round 85 → 90
→ $90 \times 6 = 540$
✔ 540
---
5. $17 \times 9$
→ Round 17 → 20, 9 → 10
→ $20 \times 10 = 200$
But better: 17 ≈ 20, 9 ≈ 10 → still 200
Or: 17 × 9 → round 17 to 20 → $20 \times 9 = 180$
Better estimate: 17 ≈ 20 → $20 \times 9 = 180$
✔ 180
---
6. $81 \times 3$
→ Round 81 → 80
→ $80 \times 3 = 240$
✔ 240
---
7. $2 \times \$298$
→ Round 298 → 300
→ $2 \times 300 = 600$
✔ \$600
---
8. $4 \times 305$
→ Round 305 → 300
→ $4 \times 300 = 1,200$
✔ 1,200
---
9. $478 \times 6$
→ Round 478 → 500
→ $500 \times 6 = 3,000$
✔ 3,000
---
10. $5 \times 784$
→ Round 784 → 800
→ $5 \times 800 = 4,000$
✔ 4,000
---
11. $612 \times 9$
→ Round 612 → 600
→ $600 \times 9 = 5,400$
✔ 5,400
---
12. $6 \times 556$
→ Round 556 → 600
→ $6 \times 600 = 3,600$
✔ 3,600
---
13. $2 \times 1,987$
→ Round 1,987 → 2,000
→ $2 \times 2,000 = 4,000$
✔ 4,000
---
14. $3 \times \$2,126$
→ Round 2,126 → 2,100 or 2,000?
Better: 2,126 → 2,100
→ $3 \times 2,100 = 6,300$
Alternatively, round to 2,000 → $3 \times 2,000 = 6,000$
But 2,126 is closer to 2,100 than 2,000 → use 2,100
→ $3 \times 2,100 = 6,300$
✔ \$6,300
---
15. $7 \times 1,905$
→ Round 1,905 → 1,900 or 2,000?
Closer to 1,900 → $7 \times 1,900 = 13,300$
Or round to 2,000 → $7 \times 2,000 = 14,000$
But 1,905 is closer to 1,900 → use 1,900
→ $7 \times 1,900 = 13,300$
✔ 13,300
---
16. $8 \times 3,495$
→ Round 3,495 → 3,500
→ $8 \times 3,500 = 28,000$
✔ 28,000
---
17. $4,723 \times 4$
→ Round 4,723 → 4,700 or 5,000?
Closer to 4,700 → $4,700 \times 4 = 18,800$
Or round to 5,000 → $5,000 \times 4 = 20,000$
But 4,723 is closer to 4,700 → better to use 4,700
→ $4,700 \times 4 = 18,800$
✔ 18,800
---
18. $5 \times \$7,118$
→ Round 7,118 → 7,100 or 7,000?
Closer to 7,100 → $5 \times 7,100 = 35,500$
Or round to 7,000 → $5 \times 7,000 = 35,000$
7,118 is closer to 7,100 → use that
→ $5 \times 7,100 = 35,500$
✔ \$35,500
---
19. $41 \times 6$
→ Round 41 → 40
→ $40 \times 6 = 240$
✔ 240
---
20. $28 \times 7$
→ Round 28 → 30
→ $30 \times 7 = 210$
✔ 210
---
21. $96 \times 2$
→ Round 96 → 100
→ $100 \times 2 = 200$
✔ 200
---
22. $17 \times 8$
→ Round 17 → 20
→ $20 \times 8 = 160$
✔ 160
---
23. $31 \times 9$
→ Round 31 → 30
→ $30 \times 9 = 270$
✔ 270
---
24. $255 \times 4$
→ Round 255 → 250 or 260?
255 → 250 or 260? Closer to 250 → $250 \times 4 = 1,000$
But 255 is exactly halfway — often round up → 260 → $260 \times 4 = 1,040$
But in estimation, 255 ≈ 250 or 260 both acceptable.
Use 250: $250 \times 4 = 1,000$
Or 260: $260 \times 4 = 1,040$
But since 255 is closer to 250? Actually, it's exactly midway. Usually round up → 260
So $260 \times 4 = 1,040$
But many would use 250 → 1,000
Let’s check: actual $255 \times 4 = 1,020$
So best estimate is 1,000 or 1,040
Best: 1,000 (if rounding to nearest hundred)
But 255 → 250 → 250×4=1,000
✔ 1,000
---
25. $488 \times 3$
→ Round 488 → 500
→ $500 \times 3 = 1,500$
✔ 1,500
---
26. $563 \times 5$
→ Round 563 → 560 or 600?
563 → 560 → $560 \times 5 = 2,800$
Or 600 → $600 \times 5 = 3,000$
563 is closer to 560 → use 560
→ $560 \times 5 = 2,800$
✔ 2,800
---
27. $2,307 \times 5$
→ Round 2,307 → 2,300
→ $2,300 \times 5 = 11,500$
✔ 11,500
---
28. $7,596 \times 6$
→ Round 7,596 → 7,600
→ $7,600 \times 6 = 45,600$
✔ 45,600
---
| Problem | Answer |
|--------|--------|
| 1. | 100 |
| 2. | 120 |
| 3. | \$350 |
| 4. | 540 |
| 5. | 180 |
| 6. | 240 |
| 7. | \$600 |
| 8. | 1,200 |
| 9. | 3,000 |
| 10. | 4,000 |
| 11. | 5,400 |
| 12. | 3,600 |
| 13. | 4,000 |
| 14. | \$6,300|
| 15. | 13,300 |
| 16. | 28,000 |
| 17. | 18,800 |
| 18. | \$35,500|
| 19. | 240 |
| 20. | 210 |
| 21. | 200 |
| 22. | 160 |
| 23. | 270 |
| 24. | 1,000 |
| 25. | 1,500 |
| 26. | 2,800 |
| 27. | 11,500 |
| 28. | 45,600 |
---
Estimation helps us get close answers quickly without exact calculations. We round numbers to simpler values (like multiples of 10, 100, etc.), then multiply. This is useful in real-life situations like budgeting or mental math.
For example:
- $7 \times 46$: 46 ≈ 50 → $7 \times 50 = 350$
- $5 \times 784$: 784 ≈ 800 → $5 \times 800 = 4,000$
Always choose a reasonable rounding based on proximity to the nearest convenient number.
Let me know if you'd like the exact answers too!
We'll go through each problem and estimate the product using rounding.
---
Guidelines for Estimation:
- Round one or both numbers to a nearby multiple of 10, 100, or 1000.
- Multiply the rounded numbers.
- Write the estimated result.
---
Now let’s solve each:
---
1. $5 \times 21$
→ Round 21 → 20
→ $5 \times 20 = 100$
✔ 100
---
2. $3 \times 39$
→ Round 39 → 40
→ $3 \times 40 = 120$
✔ 120
---
3. $7 \times \$46$
→ Round 46 → 50
→ $7 \times 50 = 350$
✔ \$350
---
4. $85 \times 6$
→ Round 85 → 90
→ $90 \times 6 = 540$
✔ 540
---
5. $17 \times 9$
→ Round 17 → 20, 9 → 10
→ $20 \times 10 = 200$
But better: 17 ≈ 20, 9 ≈ 10 → still 200
Or: 17 × 9 → round 17 to 20 → $20 \times 9 = 180$
Better estimate: 17 ≈ 20 → $20 \times 9 = 180$
✔ 180
---
6. $81 \times 3$
→ Round 81 → 80
→ $80 \times 3 = 240$
✔ 240
---
7. $2 \times \$298$
→ Round 298 → 300
→ $2 \times 300 = 600$
✔ \$600
---
8. $4 \times 305$
→ Round 305 → 300
→ $4 \times 300 = 1,200$
✔ 1,200
---
9. $478 \times 6$
→ Round 478 → 500
→ $500 \times 6 = 3,000$
✔ 3,000
---
10. $5 \times 784$
→ Round 784 → 800
→ $5 \times 800 = 4,000$
✔ 4,000
---
11. $612 \times 9$
→ Round 612 → 600
→ $600 \times 9 = 5,400$
✔ 5,400
---
12. $6 \times 556$
→ Round 556 → 600
→ $6 \times 600 = 3,600$
✔ 3,600
---
13. $2 \times 1,987$
→ Round 1,987 → 2,000
→ $2 \times 2,000 = 4,000$
✔ 4,000
---
14. $3 \times \$2,126$
→ Round 2,126 → 2,100 or 2,000?
Better: 2,126 → 2,100
→ $3 \times 2,100 = 6,300$
Alternatively, round to 2,000 → $3 \times 2,000 = 6,000$
But 2,126 is closer to 2,100 than 2,000 → use 2,100
→ $3 \times 2,100 = 6,300$
✔ \$6,300
---
15. $7 \times 1,905$
→ Round 1,905 → 1,900 or 2,000?
Closer to 1,900 → $7 \times 1,900 = 13,300$
Or round to 2,000 → $7 \times 2,000 = 14,000$
But 1,905 is closer to 1,900 → use 1,900
→ $7 \times 1,900 = 13,300$
✔ 13,300
---
16. $8 \times 3,495$
→ Round 3,495 → 3,500
→ $8 \times 3,500 = 28,000$
✔ 28,000
---
17. $4,723 \times 4$
→ Round 4,723 → 4,700 or 5,000?
Closer to 4,700 → $4,700 \times 4 = 18,800$
Or round to 5,000 → $5,000 \times 4 = 20,000$
But 4,723 is closer to 4,700 → better to use 4,700
→ $4,700 \times 4 = 18,800$
✔ 18,800
---
18. $5 \times \$7,118$
→ Round 7,118 → 7,100 or 7,000?
Closer to 7,100 → $5 \times 7,100 = 35,500$
Or round to 7,000 → $5 \times 7,000 = 35,000$
7,118 is closer to 7,100 → use that
→ $5 \times 7,100 = 35,500$
✔ \$35,500
---
19. $41 \times 6$
→ Round 41 → 40
→ $40 \times 6 = 240$
✔ 240
---
20. $28 \times 7$
→ Round 28 → 30
→ $30 \times 7 = 210$
✔ 210
---
21. $96 \times 2$
→ Round 96 → 100
→ $100 \times 2 = 200$
✔ 200
---
22. $17 \times 8$
→ Round 17 → 20
→ $20 \times 8 = 160$
✔ 160
---
23. $31 \times 9$
→ Round 31 → 30
→ $30 \times 9 = 270$
✔ 270
---
24. $255 \times 4$
→ Round 255 → 250 or 260?
255 → 250 or 260? Closer to 250 → $250 \times 4 = 1,000$
But 255 is exactly halfway — often round up → 260 → $260 \times 4 = 1,040$
But in estimation, 255 ≈ 250 or 260 both acceptable.
Use 250: $250 \times 4 = 1,000$
Or 260: $260 \times 4 = 1,040$
But since 255 is closer to 250? Actually, it's exactly midway. Usually round up → 260
So $260 \times 4 = 1,040$
But many would use 250 → 1,000
Let’s check: actual $255 \times 4 = 1,020$
So best estimate is 1,000 or 1,040
Best: 1,000 (if rounding to nearest hundred)
But 255 → 250 → 250×4=1,000
✔ 1,000
---
25. $488 \times 3$
→ Round 488 → 500
→ $500 \times 3 = 1,500$
✔ 1,500
---
26. $563 \times 5$
→ Round 563 → 560 or 600?
563 → 560 → $560 \times 5 = 2,800$
Or 600 → $600 \times 5 = 3,000$
563 is closer to 560 → use 560
→ $560 \times 5 = 2,800$
✔ 2,800
---
27. $2,307 \times 5$
→ Round 2,307 → 2,300
→ $2,300 \times 5 = 11,500$
✔ 11,500
---
28. $7,596 \times 6$
→ Round 7,596 → 7,600
→ $7,600 \times 6 = 45,600$
✔ 45,600
---
✔ Final Answers (Estimated Products):
| Problem | Answer |
|--------|--------|
| 1. | 100 |
| 2. | 120 |
| 3. | \$350 |
| 4. | 540 |
| 5. | 180 |
| 6. | 240 |
| 7. | \$600 |
| 8. | 1,200 |
| 9. | 3,000 |
| 10. | 4,000 |
| 11. | 5,400 |
| 12. | 3,600 |
| 13. | 4,000 |
| 14. | \$6,300|
| 15. | 13,300 |
| 16. | 28,000 |
| 17. | 18,800 |
| 18. | \$35,500|
| 19. | 240 |
| 20. | 210 |
| 21. | 200 |
| 22. | 160 |
| 23. | 270 |
| 24. | 1,000 |
| 25. | 1,500 |
| 26. | 2,800 |
| 27. | 11,500 |
| 28. | 45,600 |
---
🔍 Explanation:
Estimation helps us get close answers quickly without exact calculations. We round numbers to simpler values (like multiples of 10, 100, etc.), then multiply. This is useful in real-life situations like budgeting or mental math.
For example:
- $7 \times 46$: 46 ≈ 50 → $7 \times 50 = 350$
- $5 \times 784$: 784 ≈ 800 → $5 \times 800 = 4,000$
Always choose a reasonable rounding based on proximity to the nearest convenient number.
Let me know if you'd like the exact answers too!
Parent Tip: Review the logic above to help your child master the concept of estimating multiplication worksheet.
