Section 1.5 Subtraction of Real Numbers 55 3. We should be able to solve real-life applications by first expressing the situation mathematically and then simplifying the expression. Some applications involve triangles and angles. The sum of the measure of the three angles in a triangle is 180°. Complementary angles have a sum of 90°; supplementary angles have a sum of 180°. GRAPHING CALCULATOR SKILLS When using the graphing calculator for subtraction, it is important to distinguish between the negative sign, ( ) , and the subtraction sign, 2 . Use the negative sign to denote the sign of a number and the subtraction sign to perform an operation with numbers. �� ���������������� �������� EXERCISE SET Write About It! Use complete sentences in your answer to each exercise. 1. Explain how to subtract two real numbers. 2. Explain the difference between complementary angles and supplementary angles. Determine if the statement is true or false. If a statement is false, provide an example with real numbers that contradicts the statement. 3. a - (-a) = 0 for all real numbers a. 4. a - a = 0 for all real numbers a. - Practice Makes Perfect! Perform the indicated operation and simplify. (See Objective 1.) 5. 2 - 9 6. 5 - 11 7. 2.1 - (-4.7) 8. 3.7 - (-9.4) 9.2 - 6 10. -3 - 9 11. -43 - 35 12. -15 - 19 13. 2 - (-6) 14. 3 - (-9) 15. -2 - (-6) 16. -3 - (-9) 17. 2 3 - 7 3 18. 3 5 - 3 10 19. - 2 3 - 7 3 20. - 3 5 - 3 10 21. 2 3 - a- 7 3 b 22. 3 5 - a- 3 10 b 23. - 2 3 - a- 7 3 b 24. - 3 5 - a- 3 10 b 25. 1 1 5 - 6 4 5 26. 3 1 7 - 4 6 7 27. -1 1 5 - 6 4 5 28. -3 1 7 - 4 6 7 29. 1 1 5 - a-6 4 5 b 30. 3 1 7 - a-4 6 7 b 31. -1 1 5 - a-6 4 5 b 32. -3 1 7 - a-4 6 7 b 33. -2.1 - (-4.7) 34. -3.7 - (-9.4) Simplify each expression. (See Objective 2.) 35. 1 - (-5) + (-3) - 7 36. -2 + 4 - 5 - (-6) 37. -8 - 9 + 4 - 5 38. 3 - (-7) - 6 - 4 39. 5 - 15 - (-12) + 25 40. -8 - (-12) - (-6) 41. -1.9 - (-0.6) - 2.8 42. 5.8 - (-2.2) + (-1.3) 43. - 1 2 + 3 4 - a- 3 8 b 44. 3 5 + a- 1 5 b - a- 7 10 b 45. -42 + 13 - u7 - (-2)u 46. -72 + 11 - u8 - (-5)u 47. (-3)2 - (-6) - u2 - 11u 48. (-6)2 - (-10) - u3 - 15u Example: -4 - (-7) ( ( ) 4 ) 2 ( ( ) ) ENTER
hendricks_beginning_algebra_1e_ch1_3
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