Question
Show how to use the area model and the Distributive Property to find 14×45 . (2 points)
Answers
GPT 3.5
To find the product of 14×45 using the area model and the distributive property, follow these steps:
Step 1: Draw a rectangle and divide it into two parts, one representing 14 and the other representing 45.
Step 2: Label the length of the rectangle as 14 and the width as 45.
Step 3: Divide the rectangle representing 45 into 40 and 5.
Step 4: Label the length of the first smaller rectangle as 40 and the length of the second smaller rectangle as 5.
Step 5: Now, label the width of the first smaller rectangle as 14 and the width of the second smaller rectangle as 14 as well.
Step 6: Calculate the area of the two smaller rectangles:
- The area of the first smaller rectangle is 40×14 = 560.
- The area of the second smaller rectangle is 5×14 = 70.
Step 7: Add the areas of the two smaller rectangles together: 560 + 70 = 630.
Therefore, 14×45 = 630.
Step 1: Draw a rectangle and divide it into two parts, one representing 14 and the other representing 45.
Step 2: Label the length of the rectangle as 14 and the width as 45.
Step 3: Divide the rectangle representing 45 into 40 and 5.
Step 4: Label the length of the first smaller rectangle as 40 and the length of the second smaller rectangle as 5.
Step 5: Now, label the width of the first smaller rectangle as 14 and the width of the second smaller rectangle as 14 as well.
Step 6: Calculate the area of the two smaller rectangles:
- The area of the first smaller rectangle is 40×14 = 560.
- The area of the second smaller rectangle is 5×14 = 70.
Step 7: Add the areas of the two smaller rectangles together: 560 + 70 = 630.
Therefore, 14×45 = 630.