Distributive Property

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Presentation transcript:

Distributive Property Objective - To use the distributive property to simplify numerical and variable expressions. Distributive Property or Order of Operations Distributive Property It works! Why use the distributive property?

Simplify using the distributive property. 1) 4) 2) 5) 3) 6)

Distributive Property 2 5 = 5 ( ) 2 + 5 ( ) 3 3 + 10 15 5 ( ) 2s + 3t = 10s + 15t

Simplify using the distributive property. 1) 4) 2) 5) 3) 6)

Geometric Model for Distributive Property 4 5 2 Two ways to find the area of the rectangle. As a whole As two parts

Geometric Model for Distributive Property 4 5 2 Two ways to find the area of the rectangle. As a whole As two parts same

Find the area of the rectangle in terms of x, y and z in two different ways. x y z As a whole As two parts

Find the area of the rectangle in terms of x, y and z in two different ways. x y z As a whole As two parts same

Use the distributive property to simplify. 1) 3(x + 7) 6) x(a + m) 3x + 21 ax + mx 2) 2(a - 4) 7) -4(3 - r) 2a - 8 -12 + 4r 3) -7(8 - m) 8) - (x - 8) 1 -56 + 7m -x + 8 4) 3(4 - a) 9) -(2m - 3) 12 - 3a -2m + 3 5) (3 - k)5 10) (6 - 2y)3 15 - 5k 18 - 6y