1-6 Order of Operations1-6 Order of Operations
Warm UpWarm Up
Lesson PresentationLesson Presentation
Holt Algebra 1Holt Algebra 1
Lesson PresentationLesson Presentation
Lesson QuizLesson Quiz
1-6 Order of Operations
Find each square root.
1.
2.
Bell Quiz 1-6
2 pts
3 pts
25
916
Holt Algebra 1
Write all classifications that apply to each real
number.
3. -55
4.
10 pts
possible
3 pts
2 pts
9
15
1-6 Order of Operations
Questions on 1-5
Holt Algebra 1
1-6 Order of Operations
Use the order of operations to simplify expressions.
Objective
Holt Algebra 1
1-6 Order of Operations
order of operations
Vocabulary
Holt Algebra 1
1-6 Order of Operations
When a numerical or algebraic expression contains
more than one operation symbol, the order of operations tells which operation to perform first.
Perform operations inside grouping
Order of Operations
Holt Algebra 1
First:
Second:
Third:
Fourth:
Perform operations inside grouping symbols.
Evaluate powers.
Perform multiplication and division from left to right.
Perform addition and subtraction from left to right.
1-6 Order of Operations
Grouping symbols include parentheses ( ), brackets [ ], and braces { }. If an expression contains more than one set of grouping symbols, evaluate the expression from the innermost set first.
Holt Algebra 1
from the innermost set first.
1-6 Order of Operations
Helpful Hint
The first letter of these words can help you remember the order of operations.
Please
Excuse
Parentheses
Exponents
Holt Algebra 1
Excuse
My
Dear
Aunt
Sally
Exponents
Multiply
Divide
Add
Subtract
1-6 Order of Operations
Simplify each expression.
A. 15 – 2 · 3 + 1
There are no grouping symbols.
Multiply.
Subtract and add from left to right.
Example 1: Translating from Algebra to Words
Holt Algebra 1
Subtract and add from left to right.
B. 12 – 32 + 10 ÷ 2
There are no grouping symbols.
Evaluate powers. The exponent applies only to the 3.
Divide.Subtract and add from left to right.
1-6 Order of Operations
1a: 8 ÷ · 3 There are no groupingsymbols.
Divide.
Multiply.
Check It Out! Example 1
Simplify each expression.
1 2
Holt Algebra 1
Multiply.
1b: 5.4 – 32 + 6.2 There are no groupingsymbols.
Subtract
Add.
1-6 Order of Operations
–20 ÷ [–2(4 + 1)]
There are two sets of groupingsymbols.
Check It Out! Example 1c
Simplify the expression.
Holt Algebra 1
Perform the operations in theinnermost set.
Perform the operation insidethe brackets.
Divide.
1-6 Order of Operations
Example 2A: Evaluating Algebraic Expressions
Evaluate the expression for the given value
of x.
10 – x · 6 for x = 3
Holt Algebra 1
10 – x · 6 for x = 3
First substitute 3 for x.
Multiply.
Subtract.
1-6 Order of Operations
Evaluate the expression for the given value of x.
42(x + 3) for x = –2
First substitute –2 for x.
Example 2B: Evaluating Algebraic Expressions
Holt Algebra 1
First substitute –2 for x.
Perform the operation inside the parentheses.
Evaluate powers.
Multiply.
1-6 Order of Operations
Evaluate the expression for the given value of x.
2a: 14 + x2 ÷ 4 for x = 2
Check It Out! Example 2
Holt Algebra 1
2b: (x · 22) ÷ (2 + 6) for x = 6
1-6 Order of Operations
Fraction bars, radical symbols, and absolute-value symbols can also be used as grouping symbols. Remember that a fraction bar indicates division.
Holt Algebra 1
Remember that a fraction bar indicates division.
1-6 Order of Operations
Simplify.
2(–4) + 22
42 – 9
Example 3A: Simplifying Expressions with Other
Grouping Symbols
The fraction bar acts as a grouping symbol. Simplify the numerator and the denominator before dividing.
Holt Algebra 1
Multiply to simplify the numerator.
Evaluate the power in the denominator.
Add to simplify the numerator. Subtract to simplify the denominator.
Divide.
1-6 Order of Operations
Example 3B: Simplifying Expressions with Other
Grouping Symbols
Simplify.
3|42 + 8 ÷ 2|
The absolute-value symbols act as grouping symbols.
Holt Algebra 1
Evaluate the power.
Divide within the absolute-value
symbols.
Add within the absolute-symbols.
Write the absolute value of 20.
Multiply.
1-6 Order of Operations
3a: 5 + 2(–8)
(–2) – 3
Check It Out! Example 3a
Simplify.
3
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3b: |4 – 7|2 ÷ –3
1-6 Order of Operations
Check It Out! Example 3c
Simplify.
The radical symbol acts as a grouping symbol.
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symbol.
Subtract.
Take the square root of 49.
Multiply.
1-6 Order of Operations
You may need grouping symbols when translating from words to numerical expressions.
Remember!
Holt Algebra 1
Look for words that imply mathematical operations.
difference subtractsum addproduct multiply
quotient divide
1-6 Order of Operations
HOMEWORKSec 1-6 (Pg 43) 1-10, 14-17, 24-37, 42-46, 66, 81, 83, 85, 87, 88
Holt Algebra 1
1-6 Order of Operations
HOMEWORK
Holt Algebra 1
1-6 Order of Operations
HOMEWORK
Holt Algebra 1
1-6 Order of Operations
HOMEWORK
Holt Algebra 1
