Chapter 1 / Whole Numbers and Introduction to Algebra

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Presentation transcript:

Chapter 1 / Whole Numbers and Introduction to Algebra Section 2.5 Order of Operations

Chapter 1 / Whole Numbers and Introduction to Algebra Order of Operations 1. Do all operations within grouping symbols such as parentheses or brackets. (Start with innermost set.) 2. Evaluate any expressions with exponents. 3. Multiply or divide in order from left to right. 4. Add or subtract in order from left to right. Martin-Gay, Prealgebra, 5ed

Chapter 1 / Whole Numbers and Introduction to Algebra Order of Operations 1. Do all operations within grouping symbols such as parentheses or brackets. (Start with innermost set.) 2. Evaluate any expressions with exponents. 3. Multiply or divide in order from left to right. 4. Add or subtract in order from left to right. Martin-Gay, Prealgebra, 5ed

Using the Order of Operations Martin-Gay, Prealgebra, 5ed Simplify 4(5 – 2) + 42. 4(5 – 2) + 42 = 4(3) + 42 Simplify inside parentheses. = 4(3) + 16 Write 42 as 16. Objective D Continued = 12 + 16 Multiply. = 28 Add. Martin-Gay, Prealgebra, 5ed

Chapter 1 / Whole Numbers and Introduction to Algebra Helpful Hint When simplifying expressions with exponents, parentheses make an important difference. (- 5)2 and - 52 do not mean the same thing. (- 5)2 means (- 5)(- 5) = 25. - 52 means the opposite of 5  5, or - 25. Only with parentheses is the - 5 squared. Martin-Gay, Prealgebra, 5ed