Order of Operations Order of Operations with Exponents and with Exponents and IntegersIntegersToday you will learn to:Today you will learn to:• use the order of operations to evaluate use the order of operations to evaluate expressions.expressions.• evaluate expressions with exponentsevaluate expressions with exponents• evaluate expressions with integersevaluate expressions with integers

M7.A.2.1.1

Warm-up Problem: Order Warm-up Problem: Order of Operationsof 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.

Order of OperationsOrder of OperationsExpressions, like 1 + 5 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:

1. Simplify the expressions inside the Parenthesis, or grouping symbols.2. Do all the Exponents from left to right.3. Do all Multiplications and/or Divisions from left to right.4. Do all Additions and/or Subtractions from left to right.

Remember: Please Excuse My Dear Aunt Sally

Order of Operations: Order of Operations: ExamplesExamplesExample 1: 3 + 4 x 5Example 1: 3 + 4 x 5

3 + 4 x 5 = 3 + 20 Multiply 4 and 5

3 + 20 = 23 Add 3 and 20

Example 2: 6 (2 + 9) – 3 x 8

6 (2 + 9) – 3 x 8 = 6 (11) – 3 x 8 Add 2 and 96 (11) – 3 x 8 = 66 – 3 x 8 Multiply 6 and 1166 – 3 x 8 = 66 - 24 Multiply 3 and 866 – 24 = 42 Subtract 24 from 66

ExponentsExponentsAn 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. 18 + 36 ÷ 32

B. 8 + (2 x 5) x 34 ÷ 9

Operations with Operations with IntegersIntegers

Some numerical expressions that you Some numerical expressions that you will be asked to solve may include will be asked to solve may include integersintegers. . While it is important to remember your rules While it is important to remember your rules for solving problems involving integers, you for solving problems involving integers, you will be using a calculator to solve these will be using a calculator to solve these problems.problems.

Example 1: 3 + (- 4) x 5Example 1: 3 + (- 4) x 5

3 + (- 4) x 5 = 3 + (- 20) Multiply - 4 and 5

3 + (- 20) = -17 Add 3 and - 20