Presentation on theme: "Essential Question: What is the distributive property and how do I use it to solve expressions?"— Presentation transcript:
1 Essential Question:What is the distributive property and how do I use it to solve expressions?
2 Remember Order of Operations?????? 3(5 + 6)3(11)33
3 Can you figure out the process? Example 15(6 + 3)5(6) + 5(3)45Example 23(5 – 2)3(5) – 3 (2)15 – 69
4 Distributive Property The Distributive Property is easy to remember, if you recall that "multiplication distributes over addition".Any time they refer in a problem to using the Distributive Property, they want you to take something through the parenthesesIn English: If you are multiplying an addition or subtraction problem in parentheses then you can distribute the multiplication to both numbers.
5 Why is the following true? 2(x + y) = 2x + 2y 2(3 + 4) = 2(3) + 2(4)Since they distributed through the parentheses, this is true by the Distributive Property.Instead of multiplying the answer to the addition problem; you can multiply both addends first then add.
8 What is the distributive property? For all numbers a, b, and, c, a(b +c) is the same as ab + acAnother way to solve a problem if you are multiplying the parentheses by a value
9 4th: Solve. Use integer rules! 1st: Multiply the value outside theparentheses by the first valueinside the parentheses2nd: Keep the mathoperation the same3rd: Multiply the value outside theParentheses by the 2nd valueinside the parentheses4th: Solve. Use integer rules!