Significant Figures Funsheet

Indicate the number of significant figures in the following numbers:

1. 976 ______21. 2.700 ______41. 0.0076009 ______2. 976 000 ______22. 304 ______42. 670 000 ______3. 96.7 ______23. 51.0 ______43. 670 004 ______4. 9.67 ______24. 9 ______44. 45.908 ______5. 0.00967 ______25. 90 ______45. 0.00872 ______6. 9.6700 ______26. 900.0 ______46. 54 000 ______7. 9.067 ______27. 0.009 ______47. 0.000008 ______8. 30.4 ______28. 0.90 ______48. 0.800008 ______9. 2700 ______29. 0.090 ______49. 453.9780 ______10. 5.10 ______30. 909 ______50. 500 000 000 ______11. 0.023 ______31. 0.00881 ______51. 24 091 800 ______12. 7.0200 ______32. 0.4900 ______52. 780 ______13. 0.04010 ______33. 0.0224 ______53. 708 ______14. 54.000 ______34. 0.006007 ______54. 780.0 ______15. 34.802 ______35. 0.00005 ______55. 780.000 ______16. 0.0000565 ______36. 0.500 ______56. 780.00 ______17. 4.530 ______37. 0.050 ______57. 78 000 ______18. 222 ______38. 5000 ______58. 500 ______19. 70 164 ______39. 0.005670 ______59. 0.005 ______20. 3.00 ______40. 0.1110 ______60. 16 ______How to +, - , x ,  with significant figures:  When adding or subtracting numbers, look at the number of significant digits after the decimal in each number to determine how many sig figs you can keep in your answer. You can only keep as many as the least amount of sig figs found in the numbers you are adding or subtracting. Observe: 506.79 (2 sig figs) 32.9006 (4 sig figs) this shows you can only keep 1 Answer: 539.7 + 0.002 (1 sig fig)  sig fig after the decimal in your 539.6926 answer

 When multiplying or dividing numbers, look at the total number of significant digits in each number to determine how many sig figs you can keep in your answer. You can only keep as many as the least amount of sig figs found in the numbers you are multiplying or dividing. Observe: 34.500 (5 sig figs) this shows you can only keep 2 170 (2 sig figs)  sig figs TOTAL in your answer Answer: 17 000 x 2.98 (3 sig figs) 17 477.7 Exercises: Solve the following problems on your own paper. Write all of the starting information, show all your work, and box your answers. 1. 34.92 + .0074 + 503.0 7. 14 000 - 390.55 13. 2.700 - 0.76 2. 4.200 x .0078 8. 89.09 x 23 14. 9.600 x 2.5 3. 13.89  6.8 9. 7.6 + 402.91 15. 87.6 + 4.87 + .0041 4. 5700  14.009 10. 0.00881 + 45.908 16. 70.164 x 3.33 5. 13.70 - 3.70 11. 7. 200 x 3.56 17. 546.00  60.667 6. 25.25  5 12. 222  2 18. 5 x 5