Let's solve each of the
3-digit by 2-digit multiplication problems step-by-step. We'll use the standard algorithm (also known as long multiplication), showing all steps.
---
Problem 1: 868 × 61
We break 61 into 60 + 1, so:
- Multiply 868 by 1 → 868
- Multiply 868 by 60 → 868 × 6 × 10 = 5208 × 10 = 52,080
Now add:
```
868
× 61
------
868 ← 868 × 1
52080 ← 868 × 60
------
52948
```
✔ Answer: 52,948
---
Problem 2: 144 × 89
Break 89 into 80 + 9:
- 144 × 9 = 1,296
- 144 × 80 = 144 × 8 × 10 = 1,152 × 10 = 11,520
Add:
```
144
× 89
-----
1296 ← 144 × 9
11520 ← 144 × 80
------
12816
```
✔ Answer: 12,816
---
Problem 3: 100 × 15
This is easy! Any number times 100 just adds two zeros.
100 × 15 = 1,500
Or:
- 100 × 15 = 100 × (10 + 5) = 1,000 + 500 = 1,500
✔ Answer: 1,500
---
Problem 4: 749 × 77
Break 77 into 70 + 7:
- 749 × 7 = 5,243
- 749 × 70 = 749 × 7 × 10 = 5,243 × 10 = 52,430
Add:
```
749
× 77
-----
5243 ← 749 × 7
52430 ← 749 × 70
------
57673
```
✔ Answer: 57,673
---
Problem 5: 158 × 82
Break 82 into 80 + 2:
- 158 × 2 = 316
- 158 × 80 = 158 × 8 × 10 = 1,264 × 10 = 12,640
Add:
```
158
× 82
-----
316 ← 158 × 2
12640 ← 158 × 80
------
12956
```
✔ Answer: 12,956
---
Problem 6: 111 × 49
Break 49 into 40 + 9:
- 111 × 9 = 999
- 111 × 40 = 111 × 4 × 10 = 444 × 10 = 4,440
Add:
```
111
× 49
-----
999 ← 111 × 9
4440 ← 111 × 40
------
5439
```
✔ Answer: 5,439
---
✔ Final Answers:
| Problem | Answer |
|--------|------------|
| 1 | 52,948 |
| 2 | 12,816 |
| 3 | 1,500 |
| 4 | 57,673 |
| 5 | 12,956 |
| 6 | 5,439 |
Let me know if you'd like these written out in a printable format or with visual diagrams!
Parent Tip: Review the logic above to help your child master the concept of 4 digit by 3 digit multiplication worksheet.