To demonstrate the Distributive Property for the product of 8 times 12, we can use the vertical area model.
In this model, you draw a rectangle and split it into two columns. Label one column as 8 and the other as 12. Next, split the 8 column into 8 equal parts and the 12 column into 12 equal parts.
The area model shows that 8 times 12 can be calculated by adding up the areas of the individual rectangles formed. In this case, the sum of all the rectangles represents the total product.
Each rectangle in the 8 column has the height of 1 and a width of 8. So, there are 8 rectangles in total with areas of 8.
Each rectangle in the 12 column has the height of 1 and a width of 12. So, there are 12 rectangles in total with areas of 12.
To calculate 8 times 12, add up the areas of all the rectangles:
8(1) + 8(1) + 8(1) + 8(1) + 8(1) + 8(1) + 8(1) + 8(1) + 12(1) + 12(1) + 12(1) + 12(1) + 12(1) + 12(1) + 12(1) + 12(1) + 12(1) + 12(1) + 12(1) + 12(1) + 12(1) + 12(1) + 12(1) + 12(1) + 12(1) + 12(1) = 96.
Therefore, the product of 8 times 12 is 96, which is shown by the area model using the Distributive Property.
Which area model demonstrates how the Distributive Property can be used to evaluate the product of 8 times 12?
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1 answer