1 4 Order of Operations Warm Up Problem

1 -4 Order of Operations Warm Up Problem of the Day Lesson Presentation Course 1

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

1 -4 Order of Operations Problem of the Day 0123456789=1 Put the appropriate plus or minus signs between the numbers so that the total equals 1. 0 + 1 – 23 + 45 + 67 – 89 = 1 Course 1

1 -4 Order of Operations Learn to use the order of operations. Course 1

1 -4 Order Insertof Lesson Title Here Operations Vocabulary numerical expressions evaluate order of operations Course 1

1 -4 Order of Operations A numerical expression is a mathematical phase that includes only numbers and operation symbols. Numerical Expressions 4+8÷ 2 6 371 – 203 + 2 5, 006 19 When you evaluate a numerical expression, you find its value. Course 1

1 -4 Order of Operations 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. Course 1

1 -4 Order of Operations Helpful Hint The first letters of these words can help you remember the order of operations. Course 1 Please Parentheses Excuse Exponents My Multiply Dear Divide Aunt Add Sally Subtract

1 -4 Order of Operations Additional Example 1 A: Using the Order of Operations Evaluate each expression. A. 15 – 10 ÷ 2 15 – 10 Course 1 5 There are no parentheses or exponents. Divide. Subtract.

1 -4 Order of Operations Additional Example 1 B: Using the Order of Operations B. 8 + 14 ÷ 2 + 6 33 8 + 14 ÷ 2 + 6 27 8+ 7 + 6 27 Divide. 8+ 7 + 162 Multiply. + 162 Add. 15 177 Course 1 There are no parentheses. Find the value of the number with exponents. Add.

1 -4 Order of Operations Additional Example 1 C: Using the Order of Operations C. 3 (4 + 7) + 22 3 11 + 22 Perform operations within parentheses. +4 Find the value of the number with exponents. 33 +4 37 Course 1 Multiply. Add.

1 -4 Order of Operations Try This: Example 1 A Evaluate each expression. A. 12 – 6 ÷ 2 12 – 9 Course 1 3 There are no parentheses or exponents. Divide. Subtract.

1 -4 Order of Operations Try This: Example 1 B B. 4 + 14 ÷ 2 + 4 23 4+ 5 +4 8 There are no parentheses. Find the value of the number with exponents. Divide. 4+ 5 + 32 Multiply. + 32 Add. 4 + 10 ÷ 2 + 4 8 9 41 Course 1 Add.

1 -4 Order of Operations Try This: Example 1 C C. 2 (3 + 6) + 42 2 9 18 34 Course 1 + 42 Perform operations within parentheses. + 16 Find the value of the number with exponents. + 16 Multiply. Add.

1 -4 Order of Operations Additional Example 2: Consumer Application Mr. Kellett bought 6 used CDs for $4 each and 5 used CDs for $3 each. Evaluate 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. Course 1

1 -4 Order of Operations Try This: Example 2 Ms. Nivia bought 4 new CDs for $8 each and 6 used CDs for $4 each. Evaluate 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. Course 1

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