Area Model Multiplication #2 worksheet with examples and practice problems.

Let’s solve each problem using the area model method, just like in the example at the top.

We’ll break each number into tens and ones, multiply the parts, then add them up.

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a. 65 × 75

Step 1: Break numbers into expanded form
65 = 60 + 5
75 = 70 + 5

Step 2: Multiply each part (like a grid):

- 60 × 70 = 4200
- 60 × 5 = 300
- 5 × 70 = 350
- 5 × 5 = 25

Step 3: Add all partial products:
4200 + 300 = 4500
4500 + 350 = 4850
4850 + 25 = 4875

✔ So, 65 × 75 = 4875

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b. 16 × 42

Step 1: Expanded form
16 = 10 + 6
42 = 40 + 2

Step 2: Multiply parts:

- 10 × 40 = 400
- 10 × 2 = 20
- 6 × 40 = 240
- 6 × 2 = 12

Step 3: Add them:
400 + 20 = 420
420 + 240 = 660
660 + 12 = 672

✔ So, 16 × 42 = 672

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c. 15 × 15

Step 1: Expanded form
15 = 10 + 5
15 = 10 + 5

Step 2: Multiply parts:

- 10 × 10 = 100
- 10 × 5 = 50
- 5 × 10 = 50
- 5 × 5 = 25

Step 3: Add them:
100 + 50 = 150
150 + 50 = 200
200 + 25 = 225

✔ So, 15 × 15 = 225

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d. 74 × 83

Step 1: Expanded form
74 = 70 + 4
83 = 80 + 3

Step 2: Multiply parts:

- 70 × 80 = 5600
- 70 × 3 = 210
- 4 × 80 = 320
- 4 × 3 = 12

Step 3: Add them:
5600 + 210 = 5810
5810 + 320 = 6130
6130 + 12 = 6142

✔ So, 74 × 83 = 6142

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Final Answer:
a. 4875
b. 672
c. 225
d. 6142