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Published byReese Boatright Modified over 2 years ago

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Essential Question: What is the distributive property and how do I use it to solve expressions?

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**Remember Order of Operations??????**

3(5 + 6) 3(11) 33

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**Can you figure out the process?**

Example 1 5(6 + 3) 5(6) + 5(3) 45 Example 2 3(5 – 2) 3(5) – 3 (2) 15 – 6 9

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**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.

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**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.

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BRAIN POP

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**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

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**4th: Solve. Use integer rules!**

1st: Multiply the value outside the parentheses by the first value inside the parentheses 2nd: Keep the math operation the same 3rd: Multiply the value outside the Parentheses by the 2nd value inside the parentheses 4th: Solve. Use integer rules!

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**Distributive Property**

T/B pp

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For Example: 5(6 + 5) 5(6) + 5(5) 55

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For Example: 6(2 - 8) 6(2) - 6(8) 12 + (-48) -36

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**You Try It: 5(3 + 7) 5 (2+2) 2 (7+2) 8 (100 – 4) 6 (-7 + -8)**

-4 (7 + -6) -3 [-9 – (-6)]

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**It works backwards 9(72) = 9(70) +9(2)**

You can take an original # and turn it into two separate numbers that add up to the value of the original #

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Cool Down: Brain POP! Quiz ELO: Pizzazz p. 33

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1 PROPERTIES Pre-Algebra. 2 Vocabulary Equivalent expressions — expressions that have the same value Property — Statement that is true for any # or variable.

1 PROPERTIES Pre-Algebra. 2 Vocabulary Equivalent expressions — expressions that have the same value Property — Statement that is true for any # or variable.

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