How to Use Multiplication Models Rising Up to 1000s Place Values
Multiplication models are effective ways to visualize the process of multiplication, especially when working with large numbers.
A Step-by-step Guide to Using Multiplication Models Rising Up to 1000s Place Values
Here’s how you can use multiplication models for numbers rising up to the 1000s place values using the Area Model Method.
Step 1: Break Down the Numbers into Their Place Values
Let’s say you want to multiply 1234 by 56. Break down 1234 into 1000 (1 thousand), 200 (2 hundreds), 30 (3 tens), and 4 (4 ones). Break down 56 into 50 (5 tens) and 6 (6 ones).
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Step 2: Draw the Area Model
Draw a large rectangle and then divide it into eight smaller rectangles because we have eight parts from the numbers we’re multiplying (4 from 1234 and 2 from 56).
Step 3: Label the Area Model
Write the components of 1234 (1000, 200, 30, 4) along the top of the rectangle. Write the components of 56 (50, 6) along the side of the rectangle.
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Step 4: Fill in the Area Model
Multiply each component of 1234 by each component of 56, and write the product in the corresponding rectangle:
- 1000 x 50 = 50,000
- 1000 x 6 = 6,000
- 200 x 50 = 10,000
- 200 x 6 = 1,200
- 30 x 50 = 1,500
- 30 x 6 = 180
- 4 x 50 = 200
- 4 x 6 = 24
Step 5: Add up the Products
Add up all the products to find the result of(1234 x 5):
\(50,000 + 6,000 + 10,000 + 1,200 + 1,500 + 180 + 200 + 24 = 69,104\)
So, \(1234 x 56 = 69,104\). This method helps to break down the problem into smaller, more manageable parts and provides a visual representation of what’s happening when you multiply larger numbers.
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