SCIENTIFIC NOTATION AND SIGNIFICANT FIGURES



SCIENTIFIC NOTATION AND SIGNIFICANT FIGURES

I. Express in scientific notation. Assume three significant figures in each.

1. 315 1. ___________________

2. 25.2 2. ___________________

3. 86,500 3. ___________________

4. 0.00512 4. ___________________

5. 0.162 5. ___________________

6. 0.000724 6. ___________________

II. Express the following numbers as ordinary numbers

7. 2.12 x 102 7. ___________________

8. 2.17 x 10-3 8. ___________________

9. 8.92 x 10-1 9. ___________________

10. 7.90 x 107 10. __________________

11. 9.76 x 10-5 11. __________________

12. 4.20 x 104 12. __________________

III. Determine the number of significant figures in each number given.

13. 1000 cg 13. __________________

14. 2010 mL 14. __________________

15. 0.00125 km 15. __________________

16. 12.20610 dam 16. __________________

17. 24 cockroaches 17. __________________

18. 105 hL 18. __________________

19. 26 g 19. __________________

IV. Calculate the following, expressing your answers with the correct number of significant figures.

20. 25.01 m+ 55.2 m+ 0.002 m 20. __________________

21. 16000 mL + 5.95 mL 21. __________________

22. 14.26 g – 10.261 g 22. __________________

23. 20.000 m – 0.02 m 23. __________________

24. 26.2 km * 46.01 km 24. __________________

25. 0.00125 kg * 0.1256 kg 25. __________________

26. 80000 daL [pic] 25000 daL 26. __________________

27. 25.62 mg [pic] 0.25 mg 27. __________________

V. Calculate the following, expressing your answers in scientific notation with the correct number of significant figures.

28. (4.00 x 102) (3.00 x 1012) 28. __________________

29. (6.00 x 10-2) (4.00 x 1040) 29. __________________

30. (8.00 x 108) [pic] (2.00 x 106) 30. __________________

31. (4.00 x 10-10) [pic] (8.00 x 10-4) 31. __________________

32. (4.00 x 1012) * (9.00 x 10-10) * (7.00 x 10-12) 32. __________________

(8.00 x 106) (6.00 x 1018) (2.80 x 10-20) 33. __________________

33. (5.00 x 10-9) * (8.00 x 1020) * (6.00 x 10-8)

(2.00 x 10-12) (2.50 x 10-15) (3.60 x 107)

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