How to Use Area Models to Multiply One-Digit Numbers By Two-digit Numbers
Using area models to multiply one-digit numbers by two-digit numbers is a great way to visualize the multiplication process. For additional educational resources,. For additional educational resources U.S. Department of Education website.
A Step-by-step Guide to Using Area Models to Multiply One-Digit Numbers By Two-digit Numbers
Using area models to multiply one-digit numbers by two-digit numbers can help students visualize the multiplication process. Here’s a step-by-step guide using the example \(5 x 12\). For additional educational resources,.
Step 1: Draw the Area Model
Start by drawing a large rectangle. This rectangle will represent the entire multiplication problem.
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Step 2: Divide the Rectangle
Next, divide the rectangle into two parts. This is because we’re multiplying by a two-digit number (12). The larger part represents the tens place (10), and the smaller part represents the ones place (2). Label each section.
It would look something like this:
----------------- | 10 | 2 | -----------------
Step 3: Write the One-Digit Number
On the side of the rectangle, write the one-digit number you’re multiplying (5).
----------------- 5 | 10 | 2 | -----------------
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Step 4: Calculate the Area
The area of a rectangle is found by multiplying its length by its width. So, multiply the one-digit number (5) by each part of the two-digit number (10 and 2).
For the first part of the rectangle: \(5 x 10 = 50\)
For the second part of the rectangle: \(5 x 2 = 10\) For education statistics and research, visit the National Center for Education Statistics.
Write these products inside the respective parts of the rectangle. For education statistics and research, visit the National Center for Education Statistics.
----------------- 5 | 50 | 10 | -----------------
Step 5: Add the Areas
Finally, add the two areas together. In this case, \(50 + 10 = 60\).
So, \(5 x 12 = 60\).
Area models are a great way for students to visualize multiplication, breaking down complex problems into simpler, more manageable parts. It’s especially useful for students who are visual learners. For education statistics and research, visit the National Center for Education Statistics.
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