Let's solve each of these
2-digit multiplication problems using the
standard algorithm (traditional method). I'll go step-by-step for each one, showing how to multiply and add partial products.
---
🔢 Problem 1: 22 × 12
```
22
× 12
----
44 ← 22 × 2
220 ← 22 × 10 (shifted one place left)
----
264
```
✔ Answer: 264
---
🔢 Problem 2: 34 × 36
```
34
× 36
----
204 ← 34 × 6
1020 ← 34 × 30 (shifted left)
----
1224
```
✔ Answer: 1224
---
🔢 Problem 3: 49 × 17
```
49
× 17
----
343 ← 49 × 7
490 ← 49 × 10 (shifted left)
----
833
```
✔ Answer: 833
---
🔢 Problem 4: 92 × 27
```
92
× 27
----
644 ← 92 × 7
1840 ← 92 × 20 (shifted left)
----
2484
```
✔ Answer: 2484
---
🔢 Problem 5: 28 × 34
```
28
× 34
----
112 ← 28 × 4
840 ← 28 × 30 (shifted left)
----
952
```
✔ Answer: 952
---
🔢 Problem 6: 69 × 40
Since we're multiplying by 40, this is easy:
```
69
× 40
----
2760 ← 69 × 4 = 276, then add a zero → 2760
```
✔ Answer: 2760
---
🔢 Problem 7: 55 × 25
```
55
× 25
----
275 ← 55 × 5
1100 ← 55 × 20 (shifted left)
----
1375
```
✔ Answer: 1375
---
🔢 Problem 8: 82 × 71
```
82
× 71
----
82 ← 82 × 1
5740 ← 82 × 70 (shifted left)
----
5822
```
✔ Answer: 5822
---
🔢 Problem 9: 68 × 26
```
68
× 26
----
408 ← 68 × 6
1360 ← 68 × 20 (shifted left)
----
1768
```
✔ Answer: 1768
---
🔢 Problem 10: 36 × 67
```
36
× 67
----
252 ← 36 × 7
2160 ← 36 × 60 (shifted left)
----
2412
```
✔ Answer: 2412
---
🔢 Problem 11: 74 × 98
```
74
× 98
----
592 ← 74 × 8
6660 ← 74 × 90 (shifted left)
----
7252
```
✔ Answer: 7252
---
🔢 Problem 12: 48 × 13
```
48
× 13
----
144 ← 48 × 3
480 ← 48 × 10 (shifted left)
----
624
```
✔ Answer: 624
---
✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 1 | 264 |
| 2 | 1224 |
| 3 | 833 |
| 4 | 2484 |
| 5 | 952 |
| 6 | 2760 |
| 7 | 1375 |
| 8 | 5822 |
| 9 | 1768 |
| 10 | 2412 |
| 11 | 7252 |
| 12 | 624 |
---
📝 Explanation of the Standard Algorithm:
For two-digit multiplication:
1. Multiply the top number by the
ones digit of the bottom number.
2. Multiply the top number by the
tens digit of the bottom number (and shift one place to the left).
3. Add the two results together.
This method works because it breaks down multiplication into simpler parts based on place value.
Let me know if you'd like a visual version or printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of traditional 2 digit multiplication worksheet.
