Basic Technical Mathematics, 11th Edition

Exercises 1.3, page 16

1. 1. 0.390 has 3 sig. digits; the zero is not needed for proper location of the decimal point.

2. 3. 76

3. 5. 8 is exact; 55 is approx.

4. 7. 24 and 1440 are exact

5. 9. 1 and 9 are approx.

6. 11. 3, 4, 3

7. 13. 3, 3, 2

8. 15. 1, 5, 6

9. 17. 1, 5, 4

10. 19.

    1. 0.010

    2. 30.8

11. 21.

    1. Same

    2. 78.0

12. 23.

    1. 0.004

    2. Same

13. 25.

    1. 4.94

    2. 4.9

14. 27.

    1. $\hspace{0.17em}-\hspace{0.17em}50.9$

    2. $\hspace{0.17em}-\hspace{0.17em}51$

15. 29.

    1. 5970

    2. $6\stackrel{\hspace{0.17em}¯\hspace{0.17em}}{0}00$

16. 31.

    1. 0.945

    2. 0.94

17. 33. 12.20

18. 35. $\hspace{0.17em}-\hspace{0.17em}6.06$

19. 37. 13.4

20. 39. 5.57

21. 41. 2.91

22. 43. 15.8788

23. 45. $\hspace{0.17em}-\hspace{0.17em}204.2$

24. 47. 2.745 MHz, 2.755 MHz

25. 49. Too many sig. digits; time has only 2 sig. digits

26. 51.

    1. 19.3

    2. 27

27. 53.

    1. 2

    2. 2

    3. $\hspace{0.17em}-\hspace{0.17em}2$

    4. 0

    5. Undefined

28. 55.

    1. $3.1416\hspace{0.17em}>\hspace{0.17em}\pi \hspace{0.17em};\hspace{0.17em}$

    2. ${\displaystyle \frac{22}{7}}\hspace{0.17em}>\hspace{0.17em}\pi$

29. 57.

    1. ${\displaystyle \frac{1}{3}}\hspace{0.17em}=\hspace{0.17em}0.33333333\hspace{0.17em}\dots \hspace{0.17em}$

    2. ${\displaystyle \frac{5}{11}}\hspace{0.17em}=\hspace{0.17em}0.4545454545\hspace{0.17em}\dots \hspace{0.17em}$

    3. ${\displaystyle \frac{2}{5}}\hspace{0.17em}=\hspace{0.17em}0.400000000$ (0 repeats)

30. 59. 95.3 MJ

31. 61. 6330 g

32. 63. 59.14%

33. 65.

    1. 30

    2. 27.3