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Adding Integers

Lesson 1.5. Adding Integers. What is the Definition of an opposite? Example If a car goes forward 20 ft and then backs up 20 ft, it ends where it started. Using opposite integers, you can represent this situation as 20 + (−20) = 0.

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Adding Integers

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  1. Lesson 1.5 Adding Integers

  2. What is the Definition of an opposite? Example If a car goes forward 20 ft and then backs up 20 ft, it ends where it started. Using opposite integers, you can represent this situation as 20 + (−20) = 0. When you add opposites, the sum is zero. So, opposites are also called additive inverses. Opposites

  3. The sum of an integer and its opposite is zero. Addition of Opposites

  4. Adding Integers Same Sign The sum of two positive integers is positive. The sum of two negative integers is negative. Different Signs To add two integers with different signs, find the difference of their absolute values. The sum has the sign of the integer with the greater absolute value. Rules- Note Page

  5. Color Chips On your note page, what block would represent a positive number? -7 + 3 -1 + 4 7 + (-3) -2 + (-2) Using Models to Add Integers

  6. A number line provides another model that you can use to add integers On two plays, a football team first loses 8 yd and then gains 3 yd. Find −8 + 3 to find the result of the two plays. Number Line

  7. From the surface, a diver goes down 20 feet and then comes back up 4 feet. Find -20 + 4 to find where the diver is. Note page Example

  8. Use a number line to find 2 + (–6). Use a number line to find –4 + 9. Use a number line to find –5 + (–1). Practice – Quick Check # 2

  9. Adding Integers Signs are the same, Add the values. Signs are different, Subtract the values Keep the sign of the larger value. What does it Mean

  10. Find –22 + (–16). Find 60 + (–13). Find –125 + 35 Practice

  11. -7 + (-4) + 13 + -5 Order of Operations

  12. Find 1 + (–3) + 2 + (–10). Find –250 + 200 + (–100) + 220 Quick Check # 3

  13. The earthquake monitor in Hockley, Texas, is located in a salt mine at an elevation of −416 m. The elevation of the monitor in Albuquerque, New Mexico, is 2,156 m higher than the one in Hockley. Find the elevation of the monitor in Albuquerque. Real-World

  14. The elevation of a monitor in Pinon Flat, California, is 1,696 m higher than the monitor in Hockley, Texas. Find the elevation of the monitor in Pinon Flat. Practice

  15. Practice 1.5 in Workbook Check 4 Understanding

  16. Pg. 27 (5-18, 23-26, 40, 41) Homework

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