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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
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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