Mastering Two-Digit by Two-Digit Multiplication with Area Models

Discover how to solve multiplication equations by breaking numbers based on place value using open array area models. Learn the step-by-step process of decomposing numbers to simplify multiplication problems, illustrated through visual examples. Enhance your understanding of multiplying two-digit numbers and significantly improve your math skills.

• Multiplication
• Area Models
• Two-Digit Numbers
• Math Skills
• Problem Solving

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Uploaded on Jul 28, 2024 | 2 Views

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1. Open Array/Area Model

2. Two-Digit by Two-Digit Multiplication I can solve multiplication equations by using an open array to decompose numbers based on place value. 2

3. In the area model, we break numbers apart based on their place value. This helps make easier multiplication problems. We are either multiplying by one digit numbers or a multiple of ten. 35 x 28 30 + 5 Step 1: Break factors apart based on place value 20 + 8 3

4. In the area model, we break numbers apart based on their place value. This helps make easier multiplication problems. We are either multiplying by one digit numbers or a multiple of ten. 35 x 28 30 + 5 600 Step 2: Multiply the Tens place by the Tens place 20 + 8 4

5. In the area model, we break numbers apart based on their place value. This helps make easier multiplication problems. We are either multiplying by one digit numbers or a multiple of ten. 35 x 28 30 + 5 600 Step 3: Multiply the Ones place by the Tens place 100 20 + 8 5

6. In the area model, we break numbers apart based on their place value. This helps make easier multiplication problems. We are either multiplying by one digit numbers or a multiple of ten. 35 x 28 30 + 5 600 Step 4: Multiply the Tens place by the Ones place 100 20 + 240 8 6

7. In the area model, we break numbers apart based on their place value. This helps make easier multiplication problems. We are either multiplying by one digit numbers or a multiple of ten. 35 x 28 30 + 5 600 Step 5: Multiply the Ones place by the Ones place 100 20 + 240 40 8 7

8. In the area model, we break numbers apart based on their place value. This helps make easier multiplication problems. We are either multiplying by one digit numbers or a multiple of ten. 35 x 28 30 + 5 600 100 700 20 + Step 6: Add the top line 240 40 8 8

9. In the area model, we break numbers apart based on their place value. This helps make easier multiplication problems. We are either multiplying by one digit numbers or a multiple of ten. 35 x 28 30 + 5 600 100 Step 7: Add the bottom line 700 20 + + 280 240 40 8 9

10. In the area model, we break numbers apart based on their place value. This helps make easier multiplication problems. We are either multiplying by one digit numbers or a multiple of ten. 35 x 28 30 + 5 600 Step 8: Add the two lines together. You have your product! 100 700 20 + + 280 980 240 40 8 10

11. Lets try another one together. 93 x 64 90 + 3 5,400 180 5,580 60 + + 372 5,952 360 12 4 11