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Area model multiplication worksheet with four problems: 62×39, 82×32, 41×92, and 78×46.

Four multiplication problems using the area model method, each with a 2x2 grid and partial products shown.

Four multiplication problems using the area model method, each with a 2x2 grid and partial products shown.

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Show Answer Key & Explanations Step-by-step solution for: 2 digit multiplication with an area model worksheet
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Let’s solve each multiplication problem using the grid method shown in the worksheet. This method breaks each number into tens and ones, multiplies the parts, then adds them up.

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Problem 1: 62 × 39

Break it down:
- 62 = 60 + 2
- 39 = 30 + 9

Now fill the grid:

Top row (multiply by 30):
- 60 × 30 = 1800
- 2 × 30 = 60

Bottom row (multiply by 9):
- 60 × 9 = 540
- 2 × 9 = 18

Add all four results:
1800 + 60 = 1860
540 + 18 = 558
1860 + 558 = 2418

✔ So, 62 × 39 = 2418

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Problem 2: 82 × 32

Break it down:
- 82 = 80 + 2
- 32 = 30 + 2

Grid:

Top row (×30):
- 80 × 30 = 2400
- 2 × 30 = 60

Bottom row (×2):
- 80 × 2 = 160
- 2 × 2 = 4

Add them:
2400 + 60 = 2460
160 + 4 = 164
2460 + 164 = 2624

✔ So, 82 × 32 = 2624

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Problem 3: 41 × 92

Break it down:
- 41 = 40 + 1
- 92 = 90 + 2

Grid:

Top row (×90):
- 40 × 90 = 3600
- 1 × 90 = 90

Bottom row (×2):
- 40 × 2 = 80
- 1 × 2 = 2

Add them:
3600 + 90 = 3690
80 + 2 = 82
3690 + 82 = 3772

✔ So, 41 × 92 = 3772

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Problem 4: 78 × 46

Break it down:
- 78 = 70 + 8
- 46 = 40 + 6

Grid:

Top row (×40):
- 70 × 40 = 2800
- 8 × 40 = 320

Bottom row (×6):
- 70 × 6 = 420
- 8 × 6 = 48

Add them:
2800 + 320 = 3120
420 + 48 = 468
3120 + 468 = 3588

✔ So, 78 × 46 = 3588

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Final Answer:
62 × 39 = 2418
82 × 32 = 2624
41 × 92 = 3772
78 × 46 = 3588
Parent Tip: Review the logic above to help your child master the concept of area model worksheet.
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