Transcript Slide 1
1-4 1-4 Order OrderofofOperations Operations Warm Up Problem of the Day Lesson Presentation Course Course 11 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 93+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 of Operations Vocabulary numerical expressions evaluate order of operations Course 1 1-4 Order of Operations A numerical expression is a mathematical phrase that includes only numbers and operation symbols. Numerical 4+8÷2 Expressions 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 1A: Using the Order of Operations Evaluate the expression. 15 – 10 ÷ 2 15 – 10 ÷ 2 There are no parentheses or exponents. 15 – Divide. 5 10 Course 1 Subtract. 1-4 Order of Operations Additional Example 1B: Using the Order of Operations Evaluate the expression. 9 + (21 ÷ 7) 5 9 + (21 ÷ 7) 5 9+ 9+ 24 Course 1 3 5 15 Perform operations within parentheses. Multiply. Add. 1-4 Order of Operations Check It Out: Example 1A Evaluate the expression. 12 – 6 ÷ 2 12 – 6 ÷ 2 There are no parentheses or exponents. 12 – Divide. 9 Course 1 3 Subtract. 1-4 Order of Operations Check It Out: Example 1B Evaluate the expression. 7 + (24 ÷ 6) 3 7 + (24 ÷ 6) 3 7+43 Perform operations within parentheses. 7 + 12 Multiply. 19 Course 1 Add. 1-4 Order of Operations Additional Example 2A: Using the Order of Operations with Exponents Evaluate the expression. 24 + 6 4 2 +64 There are no parentheses. 16 + 6 4 Find the value of the number with the exponent. 16 + 24 Multiply. 4 40 Course 1 Add. 1-4 Order of Operations Additional Example 2B: Using the Order of Operations with Exponents Evaluate the expression. 24 ÷ (9 – 6) 32 – 10 24 ÷ (9 – 6) 32 – 10 Perform operations within 24 ÷ 3 32 – 10 parentheses. Find the value of the 24 ÷ 3 9 – 10 number with the exponent. 8 9 – 10 Divide. 72 – 10 62 Course 1 Multiply. Subtract. 1-4 Order of Operations Check It Out: Example 2A Evaluate the expression. 42 + 3 7 42 + 3 7 There are no parentheses. 16 + 3 7 Find the value of the number with the exponent. 16 + 21 Multiply. 37 Course 1 Add. 1-4 Order of Operations Check It Out: Example 2B Evaluate the expression. 32 ÷ (8 – 4) 22 – 12 32 ÷ (8 – 4) 22 – 12 32 ÷ 4 22 – 12 32 ÷ 4 4 – 12 8 Course 1 4 – 12 Perform operations within parentheses. Find the value of the number with the exponent. Divide. 32 – 12 Multiply. 20 Subtract. 1-4 Order of Operations Additional Example 3: 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. 64+53 24 + 15 39 Mr. Kellett spent $39 on CDs. Course 1 1-4 Order of Operations Check It Out: Example 3 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. 48+64 32 + 24 56 Ms. Nivia spent $56 on CDs. Course 1 1-4 Order of Operations 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 3. $32 Course 1