Let's solve each of the
2-digit × 2-digit multiplication problems step by step. We'll use the standard
long multiplication method for clarity.
---
🔹 Problem 1:
31 × 77
```
31
× 77
----
217 ← 31 × 7
2170 ← 31 × 70 (shifted one place left)
----
2387
```
✔ Answer: 2387
---
🔹 Problem 2:
24 × 25
```
24
× 25
----
120 ← 24 × 5
480 ← 24 × 20 (shifted one place left)
----
600
```
✔ Answer: 600
---
🔹 Problem 3:
78 × 77
```
78
× 77
----
546 ← 78 × 7
5460 ← 78 × 70 (shifted one place left)
----
6006
```
✔ Answer: 6006
---
🔹 Problem 4:
95 × 17
```
95
× 17
----
665 ← 95 × 7
950 ← 95 × 10 (shifted one place left)
----
1615
```
✔ Answer: 1615
---
🔹 Problem 5:
67 × 33
```
67
× 33
----
201 ← 67 × 3
2010 ← 67 × 30 (shifted one place left)
----
2211
```
✔ Answer: 2211
---
🔹 Problem 6:
69 × 57
```
69
× 57
----
483 ← 69 × 7
3450 ← 69 × 50 (shifted one place left)
----
3933
```
✔ Answer: 3933
---
🔹 Problem 7:
60 × 20
```
60
× 20
----
0 ← 60 × 0
1200 ← 60 × 20 (shifted one place left)
----
1200
```
✔ Answer: 1200
---
🔹 Problem 8:
69 × 57
*(This is repeated from problem 6)*
We already solved this:
✔ Answer: 3933
---
🔹 Problem 9:
99 × 66
```
99
× 66
----
594 ← 99 × 6
5940 ← 99 × 60 (shifted one place left)
----
6534
```
✔ Answer: 6534
---
✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 31 × 77 |
2387 |
| 24 × 25 |
600 |
| 78 × 77 |
6006 |
| 95 × 17 |
1615 |
| 67 × 33 |
2211 |
| 69 × 57 |
3933 |
| 60 × 20 |
1200 |
| 69 × 57 |
3933 |
| 99 × 66 |
6534 |
---
📝 Explanation:
To multiply two 2-digit numbers:
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 the result one place to the left.
3. Add the two results together.
For example:
> 31 × 77 = (31 × 7) + (31 × 70) = 217 + 2170 =
2387
This method helps break down large multiplications into smaller, manageable steps.
Let me know if you'd like a printable version or visual grid fill-ins! 😊
Parent Tip: Review the logic above to help your child master the concept of 2 digit multiplication worksheet printable.
