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# Module 2 lesson 8

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• 1. Module 2 Lesson 8.notebook Aim: Applying the Properties of November 12, 2013 11/12/13 Operations to Add and Subtract Rational Numbers HW:  Problem Set 8 #1 and 6­9 and  CRS 7 due tomorrow Do Now: Lesson 7 exit ticket 1
• 2. Module 2 Lesson 8.notebook November 12, 2013 2
• 3. Module 2 Lesson 8.notebook November 12, 2013 Adding and Subtracting Integers Practice 1.) -9 + (-10) 4.) -8 + 10 2.) -8 - 7 5.) 9 - 20 3.) -2 - (-10) 6.) 4 - (-5) 3
• 4. Module 2 Lesson 8.notebook November 12, 2013 4
• 5. Module 2 Lesson 8.notebook November 12, 2013 5
• 6. Module 2 Lesson 8.notebook November 12, 2013 Example 1: The opposite of a sum is the sum of its opposites Explain the meaning of: "The opposite of a sum is the sum of its opposites." Use a specific math example. 6
• 7. Module 2 Lesson 8.notebook November 12, 2013 Properties of Operations Commutative Property of Addition: A change in the order does not change the sum. a+b=b+a Associative Property of Addition: A change in the grouping of numbers does not change the sum. (a + b) + c = a + (b + c) Additive Identity: Adding zero does not change a number a+0=a 7
• 8. Module 2 Lesson 8.notebook November 12, 2013 8
• 9. Module 2 Lesson 8.notebook November 12, 2013 9
• 10. Module 2 Lesson 8.notebook November 12, 2013 Remember: The opposite of a sum is the sum of its opposites. 10
• 11. Module 2 Lesson 8.notebook November 12, 2013 11
• 12. Module 2 Lesson 8.notebook November 12, 2013 Exercise 4: Mr. Mitchell lost 10 pounds over the summer by jogging each week. By winter time, he had gained pounds. Represent this situation with an expression involving signed numbers. What is the overall change in Mr. Mitchell's weight? 12
• 13. Module 2 Lesson 8.notebook November 12, 2013 Add the opposite Commutative Opposite of a sum is the sum of the opposites Commutative Associative 13
• 14. Module 2 Lesson 8.notebook November 12, 2013 14
• 15. Module 2 Lesson 8.notebook November 12, 2013 How can you use properties to simplify this expression. 15
• 16. Module 2 Lesson 8.notebook November 12, 2013 How can you use properties to simplify this expression. 16