Order of Operations 1-2. Objectives Evaluate numerical expressions by using the order of operations Evaluate algebraic expressions by using the order.

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Presentation transcript:

Order of Operations 1-2

Objectives Evaluate numerical expressions by using the order of operations Evaluate algebraic expressions by using the order of orperations

Key Concepts Evaluate expressions inside grouping symbols Evaluate all powers/exponents Do all multiplication and/or division from left to right Do all additions and/or subtractions from left to right. PEMDAS

Examples Example * – 6 Multiply first Addition 4 Subtraction Example * * Clear Exponents 6 * Divide Multiply 23 Add

Grouping Symbols Example 1 (8 – 3) * 3(3 + 2) 5 * 3( 5) Clear grouping symbols 5 * 15 Multiply 75

Example 2 Clear innermost grouping symbols first!

Fraction Bar Evaluate the numerators Evaluate the denominators Simplify

Example * Evaluate numerator 9 * Evaluate denominator Simplify

Evaluate an Algebraic Expression Evaluate 2(x 2 -y) + z 2 if x = 4, y = 3, and z = 2 Substitute values for variables 2( 4 2 – 3) ( 16 -3) + 4 Clear exponents 2( 13) + 4 Clear parenthesis Multiply 30 Add

Remember Clear exponents Clear inner most parenthesis Multiply or divide (in order) Add or subtract (in order)

Extra Practice ool/academy123/english/academ y123_content/wl-book-demo/ph- 142s.htmlhttp:// ool/academy123/english/academ y123_content/wl-book-demo/ph- 142s.html