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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 1 6 + 4 -2* 3 6+4–6 Multiply first 10 - 6 Addition 4 Subtraction • Example 2 48 23 * 3 + 5 48 8 * 3 + 5 Clear Exponents 6 * 3+5 Divide 18 + 5 Multiply 23 Add Grouping Symbols Example 1 • (8 – 3) * 3(3 + 2) • 5 * 3( 5) 5 * 75 15 Clear grouping symbols Multiply Example 2 • Clear innermost grouping symbols first! 2 5 (30 6) 2 5 (5) 2 2 2 5 25 2 30 60 Fraction Bar • Evaluate the numerators • Evaluate the denominators • Simplify Example 1 • 6 + 42 32 * 4 6 + 16 9*4 22 36 11 18 Evaluate numerator Evaluate denominator Simplify Evaluate an Algebraic Expression • Evaluate 2(x2-y) + z2 if x = 4, y = 3, and z = 2 • Substitute values for variables 2( 42 – 3) + 22 2( 16 -3) + 4 Clear exponents 2( 13) + 4 26 + 4 30 Clear parenthesis Multiply Add Remember • • • • Clear exponents Clear inner most parenthesis Multiply or divide (in order) Add or subtract (in order) Extra Practice • http://www.phschool.com/atsch ool/academy123/english/academ y123_content/wl-book-demo/ph142s.html