Certainly! Let's solve each multiplication problem step by step, showing the work clearly. These are all 3-digit × 3-digit multiplication problems.
---
Problem 1a: 443 × 865
We’ll multiply 443 by each digit of 865 (starting from the right), then add the results.
```
443
× 865
-----
2215 ← 443 × 5
26580 ← 443 × 60 (shifted one place left)
354400 ← 443 × 800 (shifted two places left)
-------
383195
```
✔ Answer: 383,195
---
Problem 1b: 409 × 750
Note: 750 = 75 × 10, so we can compute 409 × 75, then multiply by 10 (add a zero at the end).
First, 409 × 75:
```
409
× 75
-----
2045 ← 409 × 5
28630 ← 409 × 70 (shifted one place left)
-------
30675
```
Now multiply by 10 →
306,750
✔ Answer: 306,750
*(Alternatively, you could do 409 × 750 directly — same result.)*
---
Problem 2a: 221 × 746
```
221
× 746
-----
1326 ← 221 × 6
8840 ← 221 × 40
154700 ← 221 × 700
-------
164866
```
✔ Answer: 164,866
---
Problem 2b: 741 × 248
```
741
× 248
-----
5928 ← 741 × 8
29640 ← 741 × 40
148200 ← 741 × 200
-------
183768
```
✔ Answer: 183,768
---
Problem 3a: 702 × 710
Note: 710 = 71 × 10 → Compute 702 × 71, then ×10.
First, 702 × 71:
```
702
× 71
-----
702 ← 702 × 1
49140 ← 702 × 70
-------
49842
```
Now ×10 →
498,420
✔ Answer: 498,420
---
Problem 3b: 678 × 328
```
678
× 328
-----
5424 ← 678 × 8
13560 ← 678 × 20
203400 ← 678 × 300
-------
222384
```
✔ Answer: 222,384
---
##
✔ Final Answers:
1a. 383,195
1b. 306,750
2a. 164,866
2b. 183,768
3a. 498,420
3b. 222,384
Let me know if you’d like to see any step broken down further!
Parent Tip: Review the logic above to help your child master the concept of grade 5 multiplication worksheet.