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### 1-2 Order of Operations

Objective: Evaluate numerical expressions by using the order of operations.

Solve: 6 + 3 x 8 – 5

Problem: Ms. Falvo needs lunchSolution: Make a PPJ!

Examples in real life that need a step by step order

- Baking a cake
- Taking a shower
- Cooking
- Making kool aid

Order of Operations1. Evaluate expressions inside grouping symbols. ( ) { } [ ]2. Evaluate all powers.3. Do all multiplications and/or divisions from LEFT to RIGHT.4. Do all additions and/or subtractions from LEFT to RIGHT.

Grouping symbols such as parentheses ( ), brackets [ ], and braces { } are used to clarify or change the order of operations.

Examples: Simplify braces { } are used to clarify or change the order of operations.

1. 4 + 32

2. 4 + (5 + 1)2

3. 4 + [–1(–2 – 2)] braces { } are used to clarify or change the order of operations.2

4. 4( –2/3 + 4/3 )

5. 4 – 3[4 –2(6 – 3)] ÷ 2 braces { } are used to clarify or change the order of operations.

6. 16 – 3(8 – 3)2 ÷ 5

A fraction bar is another type of grouping symbol. Perform all calculations above and below the fraction bar before dividing the numerator by the denominator.

Examples: Simplify all calculations above and below the fraction bar before dividing the numerator by the denominator.

1.

2. all calculations above and below the fraction bar before dividing the numerator by the denominator.

3.

Algebraic expressions can be evaluated when the values of the variables are known 1. Replace the variables with their values. 2. Find the value of the expression using the order of operations.

Examples: Simplify the variables are known

1. 2x + 4y if x = 3 and y = 10

2. – {2 the variables are knownx – [3 – (4 – 3x)] + 6x} if x = 2

3. 14a + 5b[6 – (2c + 3)] if a = 1, b = 4, c = 3

Get with a partner! the variables are known

It’s your turn to create a mnemonic for the Order of Operations!! PEMDAS!

Workbook – p. 4 down 1 the variables are knownst column

Fill in the blanks with the correct symbol to make each equation true. Use +, -, x, / and parentheses.

- 4 ___ 4 ___ 4 ___ 4 = 1
- 4 ___ 4 ___ 4 ___ 4 = 2
- 4 ___ 4 ___ 4 ___ 4 = 3
- 4 ___ 4 ___ 4 ___ 4 = 4

Homework – equation true. Use +, -, x, / and parentheses.

pg. 13: 22-28 even, 29-34

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