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Objective

Learn the rules of the Order of Operations for evaluating expressions, including grouping symbols, powers, multiplication, and addition/subtraction. Practice problems included with step-by-step solutions.

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Objective

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Presentation Transcript

  1. Objective Evaluate expressions using the order of operations

  2. Order of Operations A set of rules to evaluate expressions • Do all operations within grouping symbols first. • Evaluate all powers before other operations. • Multiply and divide in order from left to right. • Add and subtract in order from left to right. Please Excuse My Dear Aunt Sally

  3. 9 - 3 + 4 9 - 3 + 4 Write problem Add/Subtract from left to right 6 + 4 10

  4. Special Symbols for Multiplication 8 · 5 is 8 times 5 3(2) or (3)2 is 3 times 2 4n is 4 times n XY is X times Y

  5. 8 + 5  (12 – 6 ÷ 3) 8 + 5  (12 – 6 ÷ 3) Write problem Work inside grouping symbols 8 + 5  (12 – 2) Divide 8 + 5  10 Subtract

  6. 8 + 5  (12 – 6 ÷ 3) 8 + 5  10 Multiply/Divide Add/Subtract 8 + 50 58

  7. Powers Repeated multiplication = 7 x 7 72 23 = 2 x 2 x 2

  8. 5  42– 3  2 Write problem 5  42– 3  2 Do powers 5  16– 3  2 Multiply/Divide 80 80 - 6 Add/Subtract 74

  9. Study Tip Parentheses around a single number do not necessarily mean that multiplication should be performed first. 20 ÷ 4(2) 5(2) 10

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