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

2. 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

3. 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

4. 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 =
Multiply.
= 28
Add.
Martin-Gay, Prealgebra, 5ed

5. Chapter 1 / Whole Numbers and Introduction to Algebra
Helpful Hint
When simplifying expressions with exponents, parentheses make an important difference.
(- 5)2 and 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