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4. Example 4-8b Objective Add integers

5. Example 4-8b Vocabulary Opposites Two numbers that are the same distance from zero 4 -4

6. Example 4-8b Vocabulary Additive inverse Two numbers that are the same distance from zero (opposites) 4 -4

7. Example 4-8b Additive Inverse Property The sum of any number and its additive inverse is zero 7 + (-7) = 0x + (-x) = 0

8. Example 4-8b Add Integers 1.Same Sign Add numbers Keep sign 2. Different Signs Subtract numbers Keep sign of largest number

9. Lesson 4 Contents Example 1Add Integers with the Same Sign Example 2Add Integers with the Same Sign Example 3Add Integers with Different Signs Example 4Add Integers with Different Signs Example 5Add Integers with Different Signs Example 6Add Integers with Different Signs Example 7Simplify an Expression with Integers Example 8Use Integers to Solve a Problem

10. Example 4-1a Find same Write problem -6 + (-3) 6 + 3 9 - 1/8 Draw arrows to the signs Answer: -9 Determine if the signs are the same or different Same sign, add the numbers without the signs Keep the sign which is -

11. Example 4-1b Answer: –7 Find 1/8

12. Example 4-2a Answer: –55 Find Write problem -34 + (-21) same 34 + 21 55 - 2/8 Draw arrows to the signs Determine if the signs are the same or different Same sign, add the numbers without the signs Keep the sign which is -

13. Example 4-2b Answer: –46 Find 2/8

14. Example 4-3a Answer 1 Find Write problem 8 + (-7) different 8 - 7 1 3/8 Draw arrows to the signs Determine if the signs are the same or different Different signs, subtract the numbers without the signs (Remember: big number - small number) Keep sign of largest number

15. Example 4-3b Answer: 4 Find 3/8

16. Example 4-4a Answer -1 Find Write problem -5 + 4 different 5 - 4 1- 4/8 Draw arrows to the signs Determine if the signs are the same or different Different signs, subtract the numbers without the signs (Remember: big number - small number) Keep sign of largest number

17. Example 4-4b Answer: 2 Find 4/8

18. Example 4-5a Answer: –5 Find Write problem 2 + (-7) different 7 - 2 5 - 5/8 Draw arrows to the signs Determine if the signs are the same or different Different signs, subtract the numbers without the signs (Remember: big number - small number) Keep sign of largest number

19. Example 4-5b Answer: –4 Find 5/8

20. Example 4-6a Answer: –3 Find Write problem -9 + 6 different 9 - 6 3 - 6/8 Draw arrows to the signs Determine if the signs are the same or different Different signs, subtract the numbers without the signs (Remember: big number - small number) Keep sign of largest number

21. Example 4-6b Answer: 4 Find 6/8

22. Example 4-7a ALGEBRA Simplify Write problem (-9) + t + 8 Arrange “like terms” together (-9) Add like terms different 9 - 8 1 7/8 (-9) + 8 (-9) + 8 + t Draw arrows to the signs Determine if the signs are the same or different Different signs, subtract the numbers without the signs (Remember: big number - small number)

23. Example 4-7a ALGEBRA Simplify (-9) + t + 8 (-9) different 9 - 8 1 - 7/8 (-9) + 8 (-9) + 8 + t Keep sign of largest number Bring down the + t since it was not used + t Answer:

24. Example 4-7b ALGEBRA Simplify Answer: 7/8

25. Example 4-8a OCEANOGRAPHY Oceanographers divide the ocean into three light zones. The deeper the water, the less light shines through. The middle zone is called the Twilight Zone. The lowest part of this zone is 1,000 meters below the surface of the water. The top of the zone lies 800 meters above the lowest zone. What is the depth of the top of the zone? Write integers for the situations -1000+800 Add the integers 8/8

26. Example 4-8a Answer: 200 meters below the surface of the water. -1000 + 800 Draw arrows to signs different 1000 - 800 200 - 8/8 Determine if the signs are the same or different Different signs, subtract the numbers without the signs (Remember: big number - small number) Keep sign of largest number

27. Example 4-8b FOOTBALL The Bluedale Bobcats lost a total of 27 yards on two successive plays. On the third down, they managed to gain 18 yards. Find their position after the third down, relative to where they started. Answer: loss of 9 yards * 8/8

28. End of Lesson 4 Assignment Lesson 3:4Adding Integers11 - 34 All