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Math Worksheet featuring multiplication exercises with three-digit numbers.

Math worksheet with six multiplication problems for students to solve, including three-digit numbers.

Math worksheet with six multiplication problems for students to solve, including three-digit numbers.

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Show Answer Key & Explanations Step-by-step solution for: Grade 5 multiplication worksheets
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.
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