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NS 2.1 Add, subtract, multiply, and divide with decimals; add with negative integers; subtract positive integers from negative integers; and verify the reasonableness of the results. UNDERLYING SKILLS AND CONCEPTS: understand integers; basic facts Find Opposites Every number has an opposite. Positive numbers have opposites that are negative numbers. Remember: to add 6 and 6 subtract 6 from 6: 66=0 6 and 6 are opposites. It checks! Negative numbers have opposites that are positive numbers. Any number plus its opposite is 0. n n 0 –10 –9 –8 –7 –6 –5 –4 –3 –2 –1 E x am p l E Hey! I am at 6. The gray guy is my opposite. Hey! I am at 0. I am my own opposite! 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10 E x am p l E 1 2 What is the opposite of 3? What is the opposite of 11? 3 is a positive number. So, the opposite of 3 is a negative number. The opposite of 3 is 3. 11 is a negative number. So, the opposite of 11 is a positive number. The opposite of 11 is 11. Check: 3 3 3 3 = 0. It checks. Check: 11 11 11 11 = 0. It checks. E x am p l E 3 Ms. Yee wrote too many checks. Her balance is $29; she owes the bank $29. In order to get back to a balance of $0, what should Ms. Yee do? MYBANK Balance $29 Ms. Yee needs to send some money to the bank. How much money does she need to send to the bank: $29. Why? Because $29 $29 $29 $29 $0. page 86 Pay the bank $29! Chapter 8 – Lesson 1 E – © CSL Associates, Inc. All rights reserved. Hey! I am at 6. My opposite is at +6. n n 0 Name P RAC T I C E Write the opposite of each number. 1. 4 5. 0 9. 4 4 2. 1 1 3. 3 3 4. 23 23 0 6. 9 9 7. 8 8 8. 66 66 4 10. 12 12 11. 125 125 12. 709 709 Find the opposite of each number. Write an addition sentence that shows why they are opposites. 13. 4 4; because 4 4 4 4 0 14. 19 19; because 19 19 19 19 0 15. 68 68; because 68 68 68 68 0 16. 120 120; because 120 120 120 120 0 17. 709 709; because 709 709 709 709 0 18. 97,002 97,002; because 97,002 97,002 97,002 97,002 0 E – © CSL Associates, Inc. All rights reserved. Look at each pair of numbers. Write “opposites,” ‘inverse,” or “neither.” 19. 3 1 3 inverse 22. 77 76 neither 25. 1.5 1.5 opposite Math Reasoning 20. 3 0 neither 21. 3 3 23. 77 1 77 inverse 24. 77 77 opposite 26. 0 1 neither 1 27. 1.5 1.5 1 opposite inverse Number Sense MR 2.4 28. Last night the low temperature was 27.5°C. What is the opposite of 27.5°C? Explain why. 27.5°C because 27.5°C 27.5°C 27.5°C 27.5°C 0°C Chapter 8 – Lesson 1 page 87 MCX94.HW.CL.G5.FM&Lesson.v211 8/2/04 18:02 Page 58 Name …at home! P RAC T I C E Write the opposite of each number. 1. 5 5. 0 9. 5 5 2. 2 2 3. 6 6 4. 67 67 0 6. 7 7 7. 9 9 8. 98 98 5 10. 3 3 11. 112 112 12. 864 864 Find the opposite of each number. Write an addition sentence that shows why they are opposites. 13. 5 5; because 5 5 5 5 0 14. 17 17; because 17 17 17 17 0 15. 75 75; because 75 75 75 75 0 16. 115 115; because 115 115 115 115 0 17. 805 805; because 805 805 805 805 0 18. 87,005 87,005; because 87,005 87,005 87,005 87,005 0 1 19. 5 5 inverse 22. 88 87 neither 25. 1.3 1.3 Math Reasoning opposite 1 0 4 neither 21. 7 1 23. 66 66 inverse 24. 99 99 opposite 20. 6 26. 0 1 1 neither 4 1 27. 1.8 1 7 opposite 4 1.8 1 inverse Number Sense MR 2.4 28. Last night the low temperature was 26.5°C. What is the opposite of 26.5°C? Explain why. 26.5°C because 26.5°C 26.5°C 26.5°C 26.5°C 0°C 2 page 58 Home Resource and Homework Chapter 8 Lesson 1 E – © CSL Associates, Inc. All rights reserved. Look at each pair of numbers. Write “opposites,” ‘inverse,” or “neither.” MCX94TEG5CH01_32.v7.4.2 2/24/01 19:44 Page 161 Name P RAC T I C E Write the opposite of each number. 1. 4 5. 0 9. 4 4 2. 1 1 3. 3 3 4. 23 23 0 6. 9 9 7. 8 8 8. 66 66 4 10. 12 12 11. 125 125 12. 709 709 Find the opposite of each number. Write an addition sentence that shows why they are opposites. 13. 4 4; because 4 4 4 4 0 14. 19 19; because 19 19 19 19 0 15. 68 68; because 68 68 68 68 0 16. 120 120; because 120 120 120 120 0 17. 709 709; because 709 709 709 709 0 18. 97,002 97,002; because 97,002 97,002 97,002 97,002 0 E – © CSL Associates, Inc. All rights reserved. Look at each pair of numbers. Write “opposites,” ‘inverse,” or “neither.” 19. 3 1 3 inverse 22. 77 76 neither 25. 1.5 1.5 opposite Math Reasoning 20. 3 0 neither 21. 3 3 23. 77 1 77 inverse 24. 77 77 opposite 26. 0 1 neither 1 27. 1.5 1.5 1 opposite inverse Number Sense MR 2.4 28. Last night the low temperature was 27.5°C. What is the opposite of 27.5°C? Explain why. 27.5°C because 27.5°C 27.5°C 27.5°C 27.5°C 0°C Chapter 8 – Lesson 1 Student Book Page page 87 Name …at home! P RAC T I C E Write the opposite of each number. 1. 5 5. 0 9. 5 5 2. 2 2 3. 6 6 4. 67 67 0 6. 7 7 7. 9 9 8. 98 98 5 10. 3 3 11. 112 112 12. 864 864 Find the opposite of each number. Write an addition sentence that shows why they are opposites. 13. 5 5; because 5 5 5 5 0 14. 17 17; because 17 17 17 17 0 15. 75 75; because 75 75 75 75 0 16. 115 115; because 115 115 115 115 0 17. 805 805; because 805 805 805 805 0 18. 87,005 87,005; because 87,005 87,005 87,005 87,005 0 1 19. 5 5 inverse 22. 88 87 neither 25. 1.3 1.3 Math Reasoning opposite 1 0 4 neither 21. 7 1 23. 66 66 inverse 24. 99 99 opposite 20. 6 26. 0 1 1 neither 4 1 27. 1.8 1 7 opposite 4 1.8 1 inverse Number Sense MR 2.4 28. Last night the low temperature was 26.5°C. What is the opposite of 26.5°C? Explain why. 26.5°C because 26.5°C 26.5°C 26.5°C 26.5°C 0°C 2 page 58 Home Resource and Homework Chapter 8 Lesson 1 E – © CSL Associates, Inc. All rights reserved. Look at each pair of numbers. Write “opposites,” ‘inverse,” or “neither.”