Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

Warm Up Perform the operations in order from left to right. 1. 8 + 4 – 2 2. 9  3 + 1 3. 7 – 3 + 5 4. 20 ÷ 4 + 6 10 28 9 11

Problem of the Day 0 1 2 3 4 5 6 7 8 9 = 1 Put the appropriate plus or minus signs between the numbers so that the total equals 1. 0 + 1 – 23 + 45 + 67 – 89 = 1

Learn to use the order of operations.

Vocabulary numerical expressions simplify order of operations

When you simplify a numerical expression, you find its value. A numerical expression is a mathematical phrase that includes only numbers and operation symbols. Numerical Expressions 4 + 8 ÷ 2  6 371 – 203 + 2 5,006  19 When you simplify a numerical expression, you find its value.

When an expression has more than one operation, you must know which operation to do first. To make sure that everyone gets the same answer, we use the order of operations. ORDER OF OPERATIONS 1. Perform operations in parentheses. 2. Find the values of numbers with exponents. 3. Multiply or divide from left to right as ordered in the problem. 4. Add or subtract from left to right as ordered in the problem.

The first letters of these words can help you remember the order of operations. Please Parentheses Excuse Exponents My Multiply/ Dear Divide Aunt Add/ Sally Subtract Helpful Hint

Additional Example 1A: Using the Order of Operations Simplify the expression. 15 – 10 ÷ 2 There are no parentheses or exponents. 15 – 10 ÷ 2 Divide. 15 – 5 Subtract. 10

Additional Example 1B: Using the Order of Operations Simplify the expression. 9 + (21 ÷ 7)  5 9 + (21 ÷ 7)  5 Perform operations within parentheses. 9 + 3  5 Multiply. 9 + 15 Add. 24

Check It Out: Example 1A Simplify the expression. 12 – 6 ÷ 2 There are no parentheses or exponents. 12 – 6 ÷ 2 Divide. 12 – 3 Subtract. 9

Check It Out: Example 1B Simplify the expression. 7 + (24 ÷ 6)  3 7 + (24 ÷ 6)  3 Perform operations within parentheses. 7 + 4  3 Multiply. 7 + 12 Add. 19

Additional Example 2A: Using the Order of Operations with Exponents Simplify the expression. 24 + 6  4 2 + 6  4 4 There are no parentheses. Find the value of numbers with exponents. 16 + 6  4 Multiply. 16 + 24 Add. 40

Additional Example 2B: Using the Order of Operations with Exponents Simplify the expression. 24 ÷ (9 – 6)  32 – 10 24 ÷ (9 – 6)  32 – 10 Perform operations within parentheses. 24 ÷ 3  32 – 10 Find the value of numbers with exponents. 24 ÷ 3  9 – 10 8  9 – 10 Divide. Multiply. 72 – 10 Subtract. 62

Check It Out: Example 2A Simplify the expression. 42 + 3  7 42 + 3  7 There are no parentheses. Find the value of the number with the exponent. 16 + 3  7 Multiply. 16 + 21 Add. 37

Check It Out: Example 2B Simplify the expression. 32 ÷ (8 – 4)  22 – 12 32 ÷ (8 – 4)  22 – 12 Perform operations within parentheses. 32 ÷ 4  22 – 12 Find the values of numbers with exponents. 32 ÷ 4  4 – 12 8  4 – 12 Divide. Multiply. 32 – 12 Subtract. 20

Additional Example 3: Consumer Application Mr. Kellett bought 6 used CDs for $4 each and 5 used CDs for $3 each. Simplify the following expression to find the amount Mr. Kellett spent on CDs. 6  4 + 5  3 24 + 15 39 Mr. Kellett spent $39 on CDs.

Check It Out: Example 3 Ms. Nivia bought 4 new CDs for $8 each and 6 used CDs for $4 each. Simplify the following expression to find the amount Ms. Nivia spent on CDs. 4  8 + 6  4 32 + 24 56 Ms. Nivia spent $56 on CDs.

Lesson Quizzes Standard Lesson Quiz Lesson Quiz for Student Response Systems

Lesson Quiz Evaluate each expression. 1. 15 + 4  2 2. (12 – 5)2 – 10 3. 3 + 9  2 – 5 4. 43 – 30 ÷ 2 5. Chaz bought 4 football cards for $2 each and 8 baseball cards for $3 each. Simplify the expression to find the amount Chaz spent on cards: 4  2 + 8  3. 23 39 16 49 $32

Lesson Quiz for Student Response Systems 1. Simplify the expression. 17 + 6  3 A. 26 B. 35 C. 42 D. 69

Lesson Quiz for Student Response Systems 2. Simplify the expression. (14 – 6)2 – 12 A. 52 B. 58 C. 62 D. 64

Lesson Quiz for Student Response Systems 3. Simplify the expression. 4 + 8  3 – 7 A. 11 B. 19 C. 21 D. 29

Lesson Quiz for Student Response Systems 4. Simplify the expression. 53 – 93  3 A. 94 B. 84 C. 74 D. 64

Lesson Quiz for Student Response Systems 5. Philip bought 5 papayas for $2 each and 7 pineapples for $3 each. Simplify the expression to find the amount Philip spent on fruits: 5  2 + 7  3. A. $12 B. $15 C. $31 D. $35