Which number sentence shows how the distributive property can be used to represent the area of the entire rectangle (both rectangles together)?
left side = 5
bottom left =3
bottom right = 7
(5⋅3)+(5⋅7)
5(3+7)
5⋅3⋅7
(5+3)⋅(5+7)
(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)
The distributive property states that for any numbers a, b, and c:
a(b + c) = ab + ac
In this case, we need to find a number sentence that represents the area of the entire rectangle (both rectangles together).
The left side of the rectangle has a length of 5, and the bottom left and bottom right sides have lengths of 3 and 7, respectively.
To represent the area of the entire rectangle using the distributive property, we can use the expression:
(5⋅3) + (5⋅7)
This expression represents the calculation of the area of the left rectangle (5⋅3) plus the area of the bottom right rectangle (5⋅7).
So, 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)