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Algebra 1 Section 1.8
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Order of Operations It is very important that mathematicians agree on the order with which numeric expressions are calculated!
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Order of Operations Evaluate within innermost grouping symbols first.
Evaluate all exponential expressions.
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Order of Operations 3. Perform all multiplication and division from left to right 4. Perform all addition and subtraction from left to right
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Example 1 2 + 32 – 4 ÷ 2 • 3 2 + 9 – 4 ÷ 2 • 3 2 + 9 – 2 • 3 2 + 9 – 6
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Example 1 b. 23 – 12 + 5 • 4 – 32 + 9 ÷ 3 23 – 12 + 5 • 4 – 32 + 9 ÷ 3
8 – • 4 – ÷ 3 8 – – 9 + 3 21
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Grouping Symbols These indicate which operations to perform first
Parentheses ( ) Brackets [ ] Braces { }
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Grouping Symbols These indicate which operations to perform first
Absolute value symbols, the fraction bar, and the radical sign are also used as grouping symbols
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Grouping Symbols These indicate which operations to perform first
If grouping symbols are within other grouping symbols, the operations inside the innermost grouping symbols must be done first
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Example 2 2 + 3(5 + 7) ÷ 2 2 + 3(12) ÷ 2 ÷ 2 2 + 18 20
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Example 2 b. 2(-3 + 7) – (7 – 5) 5 – 3(1 – 4) 2(4) – 2 5 – 3(-3) 8 – 2
5 + 9 6 14 = 3 7 =
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Example 2 c. 9 – 3|2 + 7 • 23(3 – 5)| – 4 9 – 3|2 + 7 • 23(-2)| – 4
9 – 3|2 + 7 • 8(-2)| – 4 9 – 3|2 – 112| – 4 9 – 3|-110| – 4 9 – 3(110) – 4
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Example 2 9 – 3(110) – 4 9 – 330 – 4 -325
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Homework: pp
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