Which number sentence shows how the distributive property can be used to represent the area of the entire rectangle (both rectangles together)? (1 point)
Responses 5⋅3⋅7 5 times 3 times 7 5(3+7) 5 times open paren 3 plus 7 close paren (5⋅3)+(5⋅7) open paren 5 times 3 close paren plus open paren 5 times 7 close paren (5+3)⋅(5+7) open paren 5 plus 3 close paren times open paren 5 plus 7 close paren Skip to navigation
The number sentence that shows how the distributive property can be used to represent the area of the entire rectangle is (5⋅3)+(5⋅7).
The number sentence that shows how the distributive property can be used to represent the area of the entire rectangle is:
(5⋅3) + (5⋅7)
The number sentence that shows how the distributive property can be used to represent the area of the entire rectangle (both rectangles together) is (5⋅3)+(5⋅7).
To understand how we arrived at this answer, let's break it down:
The distributive property states that you can distribute (break apart) the terms inside parentheses to perform operations separately. In this case, you can distribute the 5 to both the 3 and 7. This is represented as follows:
5⋅3 + 5⋅7
Now, we can perform the multiplication to find the areas of each rectangle:
15 + 35
Finally, we can add these two numbers together to find the total area:
15 + 35 = 50
Therefore, the number sentence that represents the area of the entire rectangle is (5⋅3)+(5⋅7) = 50.