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Find as many different solutions as possible for the following problem.

Find as many different solutions as possible for the following problem. 6 x 2 + 10 – 8 ÷ 4 . Order of Operations. Order of Operations.

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Find as many different solutions as possible for the following problem.

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  1. Find as many different solutions as possible for the following problem. 6 x 2 + 10 – 8 ÷ 4

  2. Order of Operations

  3. Order of Operations The order of operations are a set of rules that mathematicians have agreed to follow to avoid mass CONFUSION when simplifying mathematical expressions or equations. Without these simple, but important rules learning mathematics would be MADDENING! A standard way to simplify mathematical expression and equations

  4. Order of Operations There are 4 standard orders to follow to ensure you are completing the order of operations properly. They are: PParentheses () EExponent nx M/DMultiplication OR Division (from left to right) x OR ÷ A/SAdditions OR Subtraction (from left to right) + OR - We’ve all heard the saying, “Please excuse my dear Aunt Sally.” I like to use, “Preparing every day makes success attainable.” Because it reminds me that multiplication and division, like addition and subtraction are interchangeable.

  5. Order of Operations Now I’m sure everyone understands how to add, subtract, multiply, and divide, so I want to focus on Parentheses and Exponents. Parentheses are pretty easy…they simply tell you what operation to complete FIRST. Lets look at an example: 6 + 7 x 3 In this problem what’s the first operation you must do? Right! Multiplication Now lets see what happens when we add parentheses: (6 + 7) x 3 What is the first operation we must complete? Awesome! Addition Remember…take care of parentheses FIRST!

  6. Order of Operations Our next order of business is exponent. Exponents (small, second number) are a number or symbol that denotes the power to which the base (the large, first number) is being raised. What does that mean? It’s a simplified way of showing how many time to multiply the base number to itself. Let’s look at an example. 24 means 2 x 2 x 2 x 2  4 x 2 x 2  8 x 2 = 16 43 means 4 x 4 x 4  16 x 4= 64 What does 52 mean? 5 x 5 = 25

  7. Order of Operations Let look at our starter problem: 6 x 2 – 1 + 8 ÷ 4 Now that we know the correct order of operations, lets solve it. 1st 6 x 2 – 1 + 8 ÷ 4  12 – 1 + 8 ÷ 4 2nd 12 – 1 + 8 ÷ 4 12- 1 + 2 3rd12 – 1 + 2  11 + 2 4th11 + 213

  8. Order of Operations • I DO • 7 + 4 x 32 • 7 + 4 x 32 • 7 + 4 x 9 • 7 + 4 x 9 • 7 + 36 • 7 + 36 • 43 • WE DO • 14 ÷ 7 x (22 – 3) • 14 ÷ 7 x (22– 3) • 14 ÷ 7 x (4 – 3) • 14 ÷ 7 x (4 – 3) • 14 ÷ 7 x 1 • 14 ÷ 7 x 1 • 2 x 1 • 2 x 1 • 2

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