Presentation on theme: "Essential Question: What is the distributive property and how do I use it to solve expressions?"— Presentation transcript:
Essential Question: What is the distributive property and how do I use it to solve expressions?
Remember Order of Operations?????? 3(5 + 6) 3(11)33
Can you figure out the process? Example 1 5(6 + 3) 5(6) + 5(3) Example 2 3(5 – 2) 3(5) – 3 (2) 15 – 6 9
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 parentheses In English: If you are multiplying an addition or subtraction problem in parentheses then you can distribute the multiplication to both numbers.
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.
What is the distributive property? For all numbers a, b, and, c, a(b +c) is the same as ab + ac Another way to solve a problem if you are multiplying the parentheses by a value
1 st : Multiply the value outside the parentheses by the first value inside the parentheses 2 nd: Keep the math operation the same 3 rd : Multiply the value outside the Parentheses by the 2 nd value inside the parentheses 4 th : Solve. Use integer rules!