The Distributive Property: An Alternative to Order of Operations for Some Problems, Lecture notes of Mathematics

Download The Distributive Property: An Alternative to Order of Operations for Some Problems and more Lecture notes Mathematics in PDF only on Docsity!

The Distributive Property

By: Mr. Hedges

Distributive Property Definition

Formal Definition

“You can multiply a sum by multiplying each addend separately and adding the products”

My Definition

Instead of adding numbers inside parenthesis and then multiplying by the number outside of the parenthesis… I can multiply the number outside of the parenthesis by each of the numbers inside the parenthesis and then add the result together.

Distributive Property with Algebra

Example #3 & 4

Using Order of Operations

Using The Distributive Property

Using Order of Operations

Using The Distributive Property

𝟐

• 𝒂𝒃 − 𝒂𝒄

Practice

(m + n) n

x

2

(x + y – z)

Solve the following problems using the Distributive Property.

Solutions

3 (11+12) = 33 + 36 = 69 (2 + 14) (7) = 14 + 98 = 112 (7 – 9 + 8) (2) = 14 - 18 + 16 = 12 (m + n) n = n 2

• mn x 2 (x + y – z) = x 3
• x 2 y – x 2 z