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**Order of Operations with Exponents and Integers**

Today you will learn to: use the order of operations to evaluate expressions. evaluate expressions with exponents evaluate expressions with integers M7.A.2.1.1

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**Warm-up Problem: Order of Operations**

Frankie orders two hamburgers and a soda for lunch. A hamburger is $3 and a soda is $1.00. Write an expression to show how much he paid for lunch. Then find the value of the expression.

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**Remember: Please Excuse My Dear Aunt Sally**

Order of Operations Expressions, like x 6, are numerical expressions, which contain a combination of numbers and operations (like addition or multiplication). When you evaluate an expression, or find it’s numerical value, you must follow the Order of Operations: Simplify the expressions inside the Parenthesis, or grouping symbols. Do all the Exponents from left to right. Do all Multiplications and/or Divisions from left to right. Do all Additions and/or Subtractions from left to right. Remember: Please Excuse My Dear Aunt Sally

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**Order of Operations: Examples**

Example 1: x 5 3 + 4 x 5 = Multiply 4 and 5 = Add 3 and 20 Example 2: 6 (2 + 9) – 3 x 8 6 (2 + 9) – 3 x 8 = 6 (11) – 3 x Add 2 and 9 6 (11) – 3 x 8 = 66 – 3 x Multiply 6 and 11 66 – 3 x 8 = Multiply 3 and 8 66 – 24 = Subtract 24 from 66

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Exponents An exponent tells you how many times a number, or base, is used as a factor. For example, if you were given the problem 32 it would be the same as writing 3 x 3. Example: Rewrite and simplify the expression 55. Example: Simplify each expression using the order of operations: A ÷ 32 B. 8 + (2 x 5) x 34 ÷ 9

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**Operations with Integers**

Some numerical expressions that you will be asked to solve may include integers. While it is important to remember your rules for solving problems involving integers, you will be using a calculator to solve these problems. Example 1: (- 4) x 5 3 + (- 4) x 5 = 3 + (- 20) Multiply - 4 and 5 3 + (- 20) = Add 3 and - 20

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