Multiplication as Repeated Addition worksheet for learning basic math concepts.
A worksheet titled "Multiplication as Repeated Addition" showing a 10x10 grid with multiplication problems and their equivalent repeated addition equations.
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Step-by-step solution for: Multiplication As Repeated Addition Worksheet for 2nd - 3rd Grade ...
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Show Answer Key & Explanations
Step-by-step solution for: Multiplication As Repeated Addition Worksheet for 2nd - 3rd Grade ...
You're looking at a math worksheet titled “MULTIPLICATION AS REPEATED ADDITION TO 10 X 10 SHEET 1”. The goal is to convert multiplication facts into repeated addition expressions and then compute the answers.
Let’s go through each problem step by step, explaining the concept and solving it.
---
Multiplication is essentially adding the same number multiple times.
For example:
> 5 × 3 = 5 + 5 + 5 = 15
> This means “add 5, three times.”
So for any problem like `a × b`, you write `a + a + ... + a` (b times), then add them up.
---
## ✔ Solutions with Explanations
---
- Repeated addition: 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8
- That’s eight 8s.
- 8 × 8 = 64
---
- Repeated addition: 7 + 7 + 7 + 7 + 7 + 7 + 7
- Seven 7s.
- 7 × 7 = 49
---
- Repeated addition: 6 + 6 + 6 + 6 + 6 + 6
- Six 6s.
- 6 × 6 = 36
---
- Repeated addition: 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9
- Nine 9s.
- 9 × 9 = 81
---
- Repeated addition: 4 + 4 + 4 + 4
- Four 4s.
- 4 × 4 = 16
---
- Repeated addition: 3 + 3 + 3
- Three 3s.
- 3 × 3 = 9
---
- Already done in row 1 → 64
---
- Already done in row 3 → 36
---
- Already done in row 4 → 81
---
- Already done in row 2 → 49
---
- Already done in row 6 → 9
---
- Again → 81
---
- Repeated addition: 5 + 5 + 5 + 5 + 5
- Five 5s.
- 5 × 5 = 25
---
- Again → 9
---
## ➕ Right Side: More Repeated Addition Problems
These are already written as repeated addition — now just compute the total.
---
- Four 6s → 6 × 4 = 24
---
- Five 4s → 4 × 5 = 20
---
- Three 8s → 8 × 3 = 24
---
- Four 9s → 9 × 4 = 36
---
- Five 7s → 7 × 5 = 35
---
- Three 7s → 7 × 3 = 21
---
- Five 6s → 6 × 5 = 30
---
- Four 8s → 8 × 4 = 32
---
- Five 5s → 5 × 5 = 25
---
- Again → 35
---
- Six 6s → 6 × 6 = 36
---
- Five 9s → 9 × 5 = 45
---
- Four 7s → 7 × 4 = 28
---
- Three 6s → 6 × 3 = 18
---
- Again → 45
---
- Three 9s → 9 × 3 = 27
---
## 📝 Final Answer Summary (Filled Table)
Here’s how the completed table should look:
| # | Repeated Addition | Multiplication | Result |
|---|--------------------------|----------------|--------|
| 1 | 8+8+8+8+8+8+8+8 | 8×8 | 64 |
| 2 | 7+7+7+7+7+7+7 | 7×7 | 49 |
| 3 | 6+6+6+6+6+6 | 6×6 | 36 |
| 4 | 9+9+9+9+9+9+9+9+9 | 9×9 | 81 |
| 5 | 4+4+4+4 | 4×4 | 16 |
| 6 | 3+3+3 | 3×3 | 9 |
| 7 | 8+8+8+8+8+8+8+8 | 8×8 | 64 |
| 8 | 6+6+6+6+6+6 | 6×6 | 36 |
| 9 | 9+9+9+9+9+9+9+9+9 | 9×9 | 81 |
|10 | 7+7+7+7+7+7+7 | 7×7 | 49 |
|11 | 3+3+3 | 3×3 | 9 |
|12 | 9+9+9+9+9+9+9+9+9 | 9×9 | 81 |
|13 | 5+5+5+5+5 | 5×5 | 25 |
|14 | 3+3+3 | 3×3 | 9 |
|15 | 6+6+6+6 | 6×4 | 24 |
|16 | 4+4+4+4+4 | 4×5 | 20 |
|17 | 8+8+8 | 8×3 | 24 |
|18 | 9+9+9+9 | 9×4 | 36 |
|19 | 7+7+7+7+7 | 7×5 | 35 |
|20 | 7+7+7 | 7×3 | 21 |
|21 | 6+6+6+6+6 | 6×5 | 30 |
|22 | 8+8+8+8 | 8×4 | 32 |
|23 | 5+5+5+5+5 | 5×5 | 25 |
|24 | 7+7+7+7+7 | 7×5 | 35 |
|25 | 6+6+6+6+6+6 | 6×6 | 36 |
|26 | 9+9+9+9+9 | 9×5 | 45 |
|27 | 7+7+7+7 | 7×4 | 28 |
|28 | 6+6+6 | 6×3 | 18 |
|29 | 9+9+9+9+9 | 9×5 | 45 |
|30 | 9+9+9 | 9×3 | 27 |
---
✔ All problems solved! You’ve now converted multiplication into repeated addition and computed the results — reinforcing the foundational link between these two operations.
Let me know if you’d like a printable version or want to try more sheets! 😊
Let’s go through each problem step by step, explaining the concept and solving it.
---
🔢 Concept: Multiplication as Repeated Addition
Multiplication is essentially adding the same number multiple times.
For example:
> 5 × 3 = 5 + 5 + 5 = 15
> This means “add 5, three times.”
So for any problem like `a × b`, you write `a + a + ... + a` (b times), then add them up.
---
## ✔ Solutions with Explanations
---
Row 1: 8 × 8
- Repeated addition: 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8
- That’s eight 8s.
- 8 × 8 = 64
---
Row 2: 7 × 7
- Repeated addition: 7 + 7 + 7 + 7 + 7 + 7 + 7
- Seven 7s.
- 7 × 7 = 49
---
Row 3: 6 × 6
- Repeated addition: 6 + 6 + 6 + 6 + 6 + 6
- Six 6s.
- 6 × 6 = 36
---
Row 4: 9 × 9
- Repeated addition: 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9
- Nine 9s.
- 9 × 9 = 81
---
Row 5: 4 × 4
- Repeated addition: 4 + 4 + 4 + 4
- Four 4s.
- 4 × 4 = 16
---
Row 6: 3 × 3
- Repeated addition: 3 + 3 + 3
- Three 3s.
- 3 × 3 = 9
---
Row 7: 8 × 8
- Already done in row 1 → 64
---
Row 8: 6 × 6
- Already done in row 3 → 36
---
Row 9: 9 × 9
- Already done in row 4 → 81
---
Row 10: 7 × 7
- Already done in row 2 → 49
---
Row 11: 3 × 3
- Already done in row 6 → 9
---
Row 12: 9 × 9
- Again → 81
---
Row 13: 5 × 5
- Repeated addition: 5 + 5 + 5 + 5 + 5
- Five 5s.
- 5 × 5 = 25
---
Row 14: 3 × 3
- Again → 9
---
## ➕ Right Side: More Repeated Addition Problems
These are already written as repeated addition — now just compute the total.
---
15: 6 + 6 + 6 + 6 = ?
- Four 6s → 6 × 4 = 24
---
16: 4 + 4 + 4 + 4 + 4 = ?
- Five 4s → 4 × 5 = 20
---
17: 8 + 8 + 8 = ?
- Three 8s → 8 × 3 = 24
---
18: 9 + 9 + 9 + 9 = ?
- Four 9s → 9 × 4 = 36
---
19: 7 + 7 + 7 + 7 + 7 = ?
- Five 7s → 7 × 5 = 35
---
20: 7 + 7 + 7 = ?
- Three 7s → 7 × 3 = 21
---
21: 6 + 6 + 6 + 6 + 6 = ?
- Five 6s → 6 × 5 = 30
---
22: 8 + 8 + 8 + 8 = ?
- Four 8s → 8 × 4 = 32
---
23: 5 + 5 + 5 + 5 + 5 = ?
- Five 5s → 5 × 5 = 25
---
24: 7 + 7 + 7 + 7 + 7 = ?
- Again → 35
---
25: 6 + 6 + 6 + 6 + 6 + 6 = ?
- Six 6s → 6 × 6 = 36
---
26: 9 + 9 + 9 + 9 + 9 = ?
- Five 9s → 9 × 5 = 45
---
27: 7 + 7 + 7 + 7 = ?
- Four 7s → 7 × 4 = 28
---
28: 6 + 6 + 6 = ?
- Three 6s → 6 × 3 = 18
---
29: 9 + 9 + 9 + 9 + 9 = ?
- Again → 45
---
30: 9 + 9 + 9 = ?
- Three 9s → 9 × 3 = 27
---
## 📝 Final Answer Summary (Filled Table)
Here’s how the completed table should look:
| # | Repeated Addition | Multiplication | Result |
|---|--------------------------|----------------|--------|
| 1 | 8+8+8+8+8+8+8+8 | 8×8 | 64 |
| 2 | 7+7+7+7+7+7+7 | 7×7 | 49 |
| 3 | 6+6+6+6+6+6 | 6×6 | 36 |
| 4 | 9+9+9+9+9+9+9+9+9 | 9×9 | 81 |
| 5 | 4+4+4+4 | 4×4 | 16 |
| 6 | 3+3+3 | 3×3 | 9 |
| 7 | 8+8+8+8+8+8+8+8 | 8×8 | 64 |
| 8 | 6+6+6+6+6+6 | 6×6 | 36 |
| 9 | 9+9+9+9+9+9+9+9+9 | 9×9 | 81 |
|10 | 7+7+7+7+7+7+7 | 7×7 | 49 |
|11 | 3+3+3 | 3×3 | 9 |
|12 | 9+9+9+9+9+9+9+9+9 | 9×9 | 81 |
|13 | 5+5+5+5+5 | 5×5 | 25 |
|14 | 3+3+3 | 3×3 | 9 |
|15 | 6+6+6+6 | 6×4 | 24 |
|16 | 4+4+4+4+4 | 4×5 | 20 |
|17 | 8+8+8 | 8×3 | 24 |
|18 | 9+9+9+9 | 9×4 | 36 |
|19 | 7+7+7+7+7 | 7×5 | 35 |
|20 | 7+7+7 | 7×3 | 21 |
|21 | 6+6+6+6+6 | 6×5 | 30 |
|22 | 8+8+8+8 | 8×4 | 32 |
|23 | 5+5+5+5+5 | 5×5 | 25 |
|24 | 7+7+7+7+7 | 7×5 | 35 |
|25 | 6+6+6+6+6+6 | 6×6 | 36 |
|26 | 9+9+9+9+9 | 9×5 | 45 |
|27 | 7+7+7+7 | 7×4 | 28 |
|28 | 6+6+6 | 6×3 | 18 |
|29 | 9+9+9+9+9 | 9×5 | 45 |
|30 | 9+9+9 | 9×3 | 27 |
---
✔ All problems solved! You’ve now converted multiplication into repeated addition and computed the results — reinforcing the foundational link between these two operations.
Let me know if you’d like a printable version or want to try more sheets! 😊
Parent Tip: Review the logic above to help your child master the concept of addition and multiplication worksheet.
