1-6 Order of Operations
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1 1-6 Order of Operations Warm Up Lesson Presentation Lesson Quiz
2 2 pts 3 pts Bell Quiz 1-6 Find each square root Write all classifications that apply to each real number pts possible
3 Questions on 1-5
4 Objective Use the order of operations to simplify expressions.
5 order of operations Vocabulary
6 When a numerical or algebraic expression contains more than one operation symbol, the order of operations tells which operation to perform first. Order of Operations 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.
7 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.
8 Helpful Hint The first letter of these words can help you remember the order of operations. Please Excuse My Dear Aunt Sally Parentheses Exponents Multiply Divide Add Subtract
9 Example 1: Translating from Algebra to Words Simplify each expression. A There are no grouping symbols. Multiply. Subtract and add from left to right. B There are no grouping symbols. Evaluate powers. The exponent applies only to the 3. Divide. Subtract and add from left to right.
10 Check It Out! Example 1 Simplify each expression. There are no 1 1a: 8 3 grouping symbols. 2 Divide. Multiply. 1b: There are no grouping symbols. Subtract. Add. 1c: 20 [ 2(4 + 1)] There are two sets of grouping symbols. Perform the operations in the innermost set. Perform the operation inside the brackets. Divide.
11 Example 2A: Evaluating Algebraic Expressions Evaluate the expression for the given value of x. 10 x 6 for x = 3 First substitute 3 for x. Multiply. Subtract.
12 Example 2B: Evaluating Algebraic Expressions Evaluate the expression for the given value of x. 4 2 (x + 3) for x = 2 First substitute 2 for x. Perform the operation inside the parentheses. Evaluate powers. Multiply.
13 Check It Out! Example 2 Evaluate the expression for the given value of x. 2a: 14 + x 2 4 for x = 2 2b: (x 22) (2 + 6) for x = 6
14 Fraction bars, radical symbols, and absolute-value symbols can also be used as grouping symbols. Remember that a fraction bar indicates division.
15 Example 3A: Simplifying Expressions with Other Grouping Symbols Simplify. 2( 4) The fraction bar acts as a grouping symbol. Simplify the numerator and the denominator before dividing. Multiply to simplify the numerator. Evaluate the power in the denominator. Add to simplify the numerator. Subtract to simplify the denominator. Divide.
16 Example 3B: Simplifying Expressions with Other Grouping Symbols Simplify The absolute-value symbols act as grouping symbols. Evaluate the power. Divide within the absolute-value symbols. Add within the absolute-symbols. Write the absolute value of 20. Multiply.
17 Simplify. 3a: 5 + 2( 8) ( 2) 3 Check It Out! Example 3a 3 3b:
18 Simplify. Check It Out! Example 3c The radical symbol acts as a grouping symbol. Subtract. Take the square root of 49. Multiply.
19 You may need grouping symbols when translating from words to numerical expressions. Remember! Look for words that imply mathematical operations. difference subtract sum add product multiply quotient divide
20 HOMEWORK Sec 1-6 (Pg 43) 1, 2, 5, 8, 11, 14, 17, 24-38, 42-46, 66, 81, 83, 85, 87, 88
21 HOMEWORK
22 HOMEWORK
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