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Integers and Number Line Representation

Learn how to represent real-life situations using integers and graph them on a number line. Practice identifying positive and negative integers and their opposites.

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Integers and Number Line Representation

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  1. Splash Screen

  2. Five-Minute Check (over Lesson 12–4) Main Idea and Vocabulary Example 1: Number Line Example 2: Opposites Example 3: Opposites Lesson Menu

  3. I will use integers to represent real-life situations and graph them on a number line. • negative integers • positive integers • opposite integers • positive number • negative number • integer Main Idea/Vocabulary

  4. Number Line Mark earned $6 by cutting a lawn. He spent $6 downloading some music. Use integers to represent these situations. Then graph the integers on a number line. Mark earned $6: + 6 or 6 Mark spent $6: –6. Example 1

  5. A B C D Thursday the temperature was 10 degrees below zero. Friday the temperature was 10 degrees above zero. Which show the integers that represent these situations? • +10, +10 • –10, –10 • –10, +10 • 0, 0 Example 1

  6. Opposites The Grand Canyon is about 1,600 meters deep. Write an integer to represent this situation. Then write its opposite. 1,600 meters deep: –1,600 The opposite of –1,600 is +1,600 or 1,600. Answer: So, –1,600 represents this situation. The integer +1,600 or 1,600 is its opposite. Example 2

  7. A B C D The pool in the back yard is 7 meters deep. Which integer represents this situation? What is its opposite? • 7 m deep: +7; opposite: –7 • 7 m deep: –7; opposite: +7 • 7 m deep: +0; opposite: –0 • 7 m deep: +3; opposite: –3 Example 2

  8. Opposites Kavita wrote a check for $48 to pay for some new sneakers. Write an integer to represent this situation. Then write its opposite. wrote a check for $48: –48 The opposite of –48 is +48 or 48. It represents paying $48 for the sneakers. Answer: So, –48 represents this situation. The integer +48 or 48 is its opposite. Example 3

  9. A B C D Terrance is selling his jacket and received $34 for it. Write an integer and its opposite to represent this situation. • received $34: +34; opposite: +34 • received $34: +34; opposite: 0 • received $34: –34; opposite: +34 • received $34: +34; opposite: –34 Example 3

  10. End of the Lesson End Lesson

  11. Five-Minute Check (over Lesson 12–4) Image Bank Math Tool Chest Metric Rulers Resources

  12. A B C D 4,500 mL = L (over Lesson 12–4) Complete. • 2.5 • 3.5 • 4.5 • 5 Five Minute Check 1

  13. A B C D 3 L = mL (over Lesson 12–4) Complete. • 2,000 • 3,000 • 4,000 • 5,000 Five Minute Check 2

  14. A B C D 344 mL = L (over Lesson 12–4) Complete. • 0.345 • 0.344 • 1.23 • 1.244 Five Minute Check 3

  15. A B C D 0.6 L = mL (over Lesson 12–4) Complete. • 400 • 500 • 600 • 700 Five Minute Check 4

  16. A B C D 44,000 mL = L (over Lesson 12–4) Complete. • 22 • 44 • 66 • 105 Five Minute Check 5

  17. A B C D 2.5 L = mL (over Lesson 12–4) Complete. • 1,750 • 2,500 • 5,000 • 5,050 Five Minute Check 6

  18. End of Custom Shows

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