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Order of Operations

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Order of Operations PYRAMID We will use this pyramid to help us remember the Order of Operations. There are three different levels of the pyramid. When you solve a problem, you will start at the top of the pyramid and work your way down.

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Parentheses The P stands for Parentheses. ( P ) We always evaluate what is inside a set of parentheses first. Example: In 5 + 3 x (4+3),we would solve 4 + 3 FIRST because it is inside the parentheses.

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Next: Multiplication and/or Division M D The MD stands for Multiplication and Division. We always solve multiplication and division second. Don’t forget the -> above the MD! ( P )

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What happens if there is multiplication and division in the same problem? Example 1: 5 x 6 ÷ 3 Solution 1: 5 x 6 equals 30, and 30 ÷ 3 equals 10. You would work from left to right and do whichever operation came first. This is why we put the on the pyramid above the MD! Here are two examples: Example 2: 40 ÷ 5 x 3 Solution 2: 40 ÷ 5 equals 8, and 8x3 equals 24.

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Last: Addition and/or Subtraction A S The AS stands for Addition and Subtraction. We always solve addition and subtraction third. Don’t forget the -> above the AS! ( P ) M D

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What happens if there is addition and subtraction in the same problem? Example 1: 5 + 6 -10 Solution 1: 5 + 6 equals 11, and 11-10 equals 1. You would work from left to right and do whichever operation came first. This is why we put the on the pyramid above the MD! Here are two examples: Example 2: 25 - 8 +10 Solution 2 : 25- 8 equals 17, and 17+10 equals 27.

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Order of Operations A S ( P ) M D Draw an Order of Operations Pyramid in your Math Notebook. Now let’s use the pyramid to solve some equations!!

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Let’s Try This One Together 24 - 3 x 8 ÷ (14 - 10) = _____

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Now Try This One with a Partner 2 + 18 ÷ 3 x (2 + 5) =_____

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Now Try This One On Your Own 8 + 3 x 3 ÷ (10 - 7) =_____

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Name __________________________________________________ Order of Operations Homework A S ( P ) M D Directions: Use the Order of Operations pyramid to solve the following problems. Use another sheet of paper to show your work if you need more room. 1.(12 – 3) x 4 ÷ 2 = _____ 2.8 + 6 x 4 = ______ 3.2 + 12 ÷ 2 x 3 = _____ 4.12 ÷ (5 + 1) x 2 = ______ 5.Feng paid a total of $18 for a glass pitcher and 6 pounds of lemons. The price of the lemons was $2 per pound. Using the equation 18 – 6 x 2 = p, what is the price of the glass pitcher?

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