Let's solve each of the 2-digit by 2-digit multiplication problems step by step. I'll use the standard multiplication method (also known as long multiplication) for clarity.
---
(1) 54 × 42
```
54
× 42
----
108 ← 54 × 2
2160 ← 54 × 40 (shifted one place left)
----
2268
```
✔ Answer: 2268
---
(2) 92 × 96
```
92
× 96
----
552 ← 92 × 6
8280 ← 92 × 90 (shifted)
----
8832
```
✔ Answer: 8832
---
(3) 49 × 49
This is a square:
We can compute it as:
```
49
× 49
----
441 ← 49 × 9
1960 ← 49 × 40
----
2401
```
✔ Answer: 2401
---
(4) 74 × 15
```
74
× 15
----
370 ← 74 × 5
740 ← 74 × 10
----
1110
```
✔ Answer: 1110
---
(5) 31 × 45
```
31
× 45
----
155 ← 31 × 5
1240 ← 31 × 40
----
1395
```
✔ Answer: 1395
---
(6) 86 × 53
```
86
× 53
----
258 ← 86 × 3
4300 ← 86 × 50
----
4558
```
✔ Answer: 4558
---
(7) 68 × 13
```
68
× 13
----
204 ← 68 × 3
680 ← 68 × 10
----
884
```
✔ Answer: 884
---
(8) 36 × 97
```
36
× 97
----
252 ← 36 × 7
3240 ← 36 × 90
----
3492
```
✔ Answer: 3492
---
(9) 80 × 28
Note: 80 × 28 = 8 × 10 × 28 = 8 × 280 = 2240
Or:
```
80
× 28
----
640 ← 80 × 8
1600 ← 80 × 20
----
2240
```
✔ Answer: 2240
---
(10) 82 × 39
```
82
× 39
----
738 ← 82 × 9
2460 ← 82 × 30
----
3198
```
✔ Answer: 3198
---
(11) 92 × 82
```
92
× 82
----
184 ← 92 × 2
7360 ← 92 × 80
----
7544
```
✔ Answer: 7544
---
(12) 98 × 80
Easy: 98 × 80 = 98 × 8 × 10 = 784 × 10 = 7840
✔ Answer: 7840
---
(13) 44 × 33
```
44
× 33
----
132 ← 44 × 3
1320 ← 44 × 30
----
1452
```
✔ Answer: 1452
---
(14) 57 × 47
```
57
× 47
----
399 ← 57 × 7
2280 ← 57 × 40
----
2679
```
✔ Answer: 2679
---
(15) 93 × 20
Easy: 93 × 20 = 93 × 2 × 10 = 186 × 10 = 1860
✔ Answer: 1860
---
✔ Final Answers:
| Problem | Answer |
|--------|--------|
| (1) 54 × 42 |
2268 |
| (2) 92 × 96 |
8832 |
| (3) 49 × 49 |
2401 |
| (4) 74 × 15 |
1110 |
| (5) 31 × 45 |
1395 |
| (6) 86 × 53 |
4558 |
| (7) 68 × 13 |
884 |
| (8) 36 × 97 |
3492 |
| (9) 80 × 28 |
2240 |
| (10) 82 × 39 |
3198 |
| (11) 92 × 82 |
7544 |
| (12) 98 × 80 |
7840 |
| (13) 44 × 33 |
1452 |
| (14) 57 × 47 |
2679 |
| (15) 93 × 20 |
1860 |
Let me know if you'd like a printable version or explanations using alternative methods (like area model, distributive property, etc.)!
Parent Tip: Review the logic above to help your child master the concept of 2 digit by 2 digit multiplication worksheets pdf.
