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Warm Up Perform the operations in order from left to right. 1. 8 + 4 – 2 2. 9  3 + 1

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.

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Warm Up Perform the operations in order from left to right. 1. 8 + 4 – 2 2. 9  3 + 1

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  1. 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

  2. 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

  3. Vocabulary numerical expressions simplify order of operations Learn to use the order of operations.

  4. A numerical expression is a mathematical phrase that includes only numbers and operation symbols. When you simplify a numerical expression, you find its value.

  5. 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.

  6. Helpful Hint 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

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

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

  9. http://my.hrw.com/math06_07/nsmedia/lesson_videos/msm1/player.html?contentSrc=5990/5990.xmlhttp://my.hrw.com/math06_07/nsmedia/lesson_videos/msm1/player.html?contentSrc=5990/5990.xml

  10. 2 + 6  4 4 There are no parentheses. Multiply. Add. Find the value of numbers with exponents. Additional Example 2A: Using the Order of Operations with Exponents Simplify the expression. 24 + 6  4 16 + 6  4 16 + 24 40

  11. 24 ÷ (9 – 6)  32 – 10 24 ÷ 3 32 – 10 24 ÷ 3  9 – 10 Perform operations within parentheses. Multiply. Divide. Find the value of numbers with exponents. Subtract. Additional Example 2B: Using the Order of Operations with Exponents Simplify the expression. 24 ÷ (9 – 6)  32 – 10 8 9 – 10 72 – 10 62

  12. http://my.hrw.com/math06_07/nsmedia/lesson_videos/msm1/player.html?contentSrc=6929/6929.xmlhttp://my.hrw.com/math06_07/nsmedia/lesson_videos/msm1/player.html?contentSrc=6929/6929.xml

  13. 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.

  14. http://my.hrw.com/math06_07/nsmedia/lesson_videos/msm1/player.html?contentSrc=6930/6930.xmlhttp://my.hrw.com/math06_07/nsmedia/lesson_videos/msm1/player.html?contentSrc=6930/6930.xml

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

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

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

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

  19. 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

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