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Box method multiplication worksheets PDF | Partial product ... - Free Printable

Box method multiplication worksheets PDF | Partial product ...

Educational worksheet: Box method multiplication worksheets PDF | Partial product .... Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Box method multiplication worksheets PDF | Partial product ...
Explanation:
Let's solve each multiplication problem using the box method. The box method breaks down each number into tens and ones, then multiplies each part separately.

---

1. 41 × 35 = ?
We already have the example done.
Break 41 into 40 and 1.
Break 35 into 30 and 5.
Then multiply:
- 40 × 30 = 1200
- 40 × 5 = 200
- 1 × 30 = 30
- 1 × 5 = 5
Add them: 1200 + 200 + 30 + 5 = 1435
So, 41 × 35 = 1435

---

2. 36 × 25 = ?
Break 36 into 30 and 6.
Break 25 into 20 and 5.
Now make a box:

| | 20 | 5 |
|-------|------|------|
| 30 | 600 | 150 |
| 6 | 120 | 30 |

Now add the products:
600 + 150 = 750
120 + 30 = 150
750 + 150 = 900
So, 36 × 25 = 900

---

3. 42 × 31 = ?
Break 42 into 40 and 2.
Break 31 into 30 and 1.
Box:

| | 30 | 1 |
|-------|------|------|
| 40 | 1200 | 40 |
| 2 | 60 | 2 |

Add:
1200 + 40 = 1240
60 + 2 = 62
1240 + 62 = 1302
So, 42 × 31 = 1302

---

4. 49 × 26 = ?
Break 49 into 40 and 9.
Break 26 into 20 and 6.
Box:

| | 20 | 6 |
|-------|------|------|
| 40 | 800 | 240 |
| 9 | 180 | 54 |

Add:
800 + 240 = 1040
180 + 54 = 234
1040 + 234 = 1274
So, 49 × 26 = 1274

---

5. 36 × 33 = ?
Break 36 into 30 and 6.
Break 33 into 30 and 3.
Box:

| | 30 | 3 |
|-------|------|------|
| 30 | 900 | 90 |
| 6 | 180 | 18 |

Add:
900 + 90 = 990
180 + 18 = 198
990 + 198 = 1188
So, 36 × 33 = 1188

---

6. 45 × 18 = ?
Break 45 into 40 and 5.
Break 18 into 10 and 8.
Box:

| | 10 | 8 |
|-------|------|------|
| 40 | 400 | 320 |
| 5 | 50 | 40 |

Add:
400 + 320 = 720
50 + 40 = 90
720 + 90 = 810
So, 45 × 18 = 810

---

Final Answer:
41 × 35 = 1435
36 × 25 = 900
42 × 31 = 1302
49 × 26 = 1274
36 × 33 = 1188
45 × 18 = 810
Parent Tip: Review the logic above to help your child master the concept of box multiplication worksheet.
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