2 digit by 2 digit Multiplication Worksheets - 15 Worksheets Library - Free Printable

Let's solve each of the multiplication problems in the worksheet step by step. These are lattice multiplication problems, where you multiply two numbers using a grid method.

We'll go through each one:

---

1) 91 × 94

We set up a lattice grid for 2-digit × 2-digit multiplication.

#### Step-by-step multiplication:
- Multiply 91 × 94

Break it down:
- 91 × 90 = 8190
- 91 × 4 = 364
- Add: 8190 + 364 = 8554

Alternatively, use standard multiplication:

```
91
× 94
----
364 ← 91 × 4
8190 ← 91 × 90 (shifted left)
----
8554
```

✔ So, 91 × 94 = 8554

Now fill in the lattice grid accordingly (but since we're solving, just record the answer).

---

2) 43 × 61

Multiply:

```
43
× 61
----
43 ← 43 × 1
2580 ← 43 × 60
----
2623
```

Check:
- 43 × 60 = 2580
- 43 × 1 = 43
- 2580 + 43 = 2623

✔ So, 43 × 61 = 2623

---

3) 60 × 82

Multiply:

```
60
× 82
----
120 ← 60 × 2
4800 ← 60 × 80
----
4920
```

Or: 60 × 82 = 60 × (80 + 2) = 4800 + 120 = 4920

✔ So, 60 × 82 = 4920

---

4) 75 × 44

Multiply:

```
75
× 44
----
300 ← 75 × 4
3000 ← 75 × 40
----
3300
```

Check:
- 75 × 40 = 3000
- 75 × 4 = 300
- Total = 3000 + 300 = 3300

✔ So, 75 × 44 = 3300

---

✔ Final Answers:

1) 8554
2) 2623
3) 4920
4) 3300

---

How to Fill in the Grids (Lattice Method):

Each problem uses a 2×2 lattice grid because both numbers are 2-digit.

For example, for 91 × 94:

- Draw a 2×2 grid.
- Write 9 and 1 on top (for 91).
- Write 9 and 4 on the right (for 94).
- Multiply each digit:
- 9×9 = 81 → write 8 in top-left, 1 in bottom-right
- 9×4 = 36 → write 3 in top-left, 6 in bottom-right
- 1×9 = 09 → write 0 in top-left, 9 in bottom-right
- 1×4 = 04 → write 0 in top-left, 4 in bottom-right
- Add diagonals:
- Rightmost diagonal: 4 → 4
- Middle: 6+9+0 = 15 → write 5, carry 1
- Left: 8+3+0+1(carry) = 12 → write 2, carry 1
- Far left: 1 → 1
- Result: 8554

You can apply the same process for others.

But since this is a worksheet, the final answers are:

> 1) 8554
> 2) 2623
> 3) 4920
> 4) 3300

Let me know if you'd like a visual of the lattice grids!