Practice with Our Flashcards

Example 1: Dividing 268 by 2

To divide 268 by 2 using an area model, follow these steps:

1. Visualize the Problem:Imagine a rectangle with an area of 268 square units and one side length of 2 units.
   The task is to find the length of the other side.
   

2. Break Down the Area:Divide 268 into parts that are easier to work with: 200, 60, and 8.
   Each part represents a smaller rectangle within the larger one.
   

3. Divide Each Part:200 divided by 2 equals 100.
   60 divided by 2 equals 30.
   8 divided by 2 equals 4.
   

4. Combine the Results:The lengths of the smaller rectangles are 100, 30, and 4.
   Adding these together gives 134.
   Therefore, 268 ÷ 2 equals 134.
   

Example 2: Dividing 856 by 8

For 856 divided by 8 using an area model, follow these steps:

1. Visualize the Problem:Imagine a rectangle with an area of 856 square units and one side length of 8 units.
   The task is to find the length of the other side.
   

2. Break Down the Area:Divide 856 into parts that are easier to work with: 800 and 56.
   

3. Divide Each Part:800 divided by 8 equals 100.
   56 divided by 8 equals 7.
   

4. Combine the Results:The lengths of the smaller rectangles are 100 and 7.
   Adding these together gives 107.
   Therefore, 856 ÷ 8 equals 107.
   

Conclusion

Using area models to simplify division problems can make complex calculations easier and more intuitive. By breaking numbers into manageable components and leveraging basic arithmetic properties, students can confidently tackle division.

Practice these techniques with our flashcards and video to become proficient in dividing using area models, and don't forget to check out Khan Academy’s detailed explanations and examples for a deeper understanding.