Practice Worksheet for Significant Figures

Period:________

Practice Worksheet for Significant Figures

Name:__________

State the number of significant digits in each measurement.

1) 2804 m __4___ 2) 2.84 km __3___ 3) 5.029 m __4___ 4) 0.003068 m __4___ 5) 4.6 x 105 m __2___

6) 4.06 x 10-5 m ___3__ 7) 75,000 m __2___ 8) 75.00 m __4___ 9) 75,000.0 m ___6__ 10) 10 cm __1___

Convert the following metric units as indicated. Report all answers with 3 significant figures:

11) 3.682417 cm = 3.68E-5 km

12) 21.860051 g = 2.19E-2 kg

13) 375.6523 m = 3.76E5 mm

14) 112.511 mL = 1.12E-1 L

15) 45.4673 cm= 4.65E-1 m

16) 1.3511 L = 1.35E3 mL

17) 2.473 mm = 2.47E-3 m

18) 5.687524 m = 5.69E-3 km

19) 7.555 g = 7.56E3 mg

20) 8.235 kg = 8.24E3 g

21) 22.494 L = 2.25E4 mL

22) 79.2588 mg = 7.93E-4 kg

23) 0.03062 cm = 3.06E-7 km

24) 3.4125 g = 3.41E3 mg

25) 41.86632 kg = 4.19E7 mg

Solve the following problems and report answers with appropriate number of significant digits. (Hint: Units MUST be the same for addition and subtraction but can be different for multiplication and division)

26) 6.201 cm + 7.4 cm + 0.68 cm +12.0 cm = 26.3cm 27) 1.6 km + 1.62 m +1200 cm = see Doolan 28) 8.264 g - 7.8 g = 0.5g 29) 10.4168 m - 6.0 m = 4.4m 30) 12.00 m+15.001m= 27.00m

31) 1.31 cm x 2.3 cm = 3.0cm 32) 5.7621 m x 6.201 m = 35.73m 33) 20.2 cm / 7.41 s = 1.50E2 cm/s 34) 40.002 g / 13.000005 g = 520.03g

Express the following numbers, to 2 significant figures, in their equivalent scientific notation form:

35) 123,876.3 1.2 E 5 36) 1,236,840 1.2 E 6 37) 422000 4.2 E 5 38) 0.000000000000211 2.1 E -13

39) 0.000238 2.4 E -4 40) 0.0000205 2.1 E -5

Period:________

Practice Worksheet for Significant Figures

Name:__________

Identify the sums or differences of the following to the correct number of significant figures:

41) 8.41 X 1014 + 9.71 X 1012 = 8.51 E 14 42) 5.11 X 1023 - 4.2 X 1021 = 5.1 E 23 43) 8.2 X 1030 + 4.560 X 1023 = 8.2 E 30 44) 6.023 X 10-23 - 2.1 X 10-20 = -2.9 E -20

Express the product and the quotients of the following to the correct number of significant figures:

45) (3.56 X 105) (4.21 X 106) = 2.76 E 12 46) (2 X 107) (8 X 10-9) = 0.2 47) (4.11 X 10-6) (7.51 X 10-4) = 3.09 E -9 48) 8.45 X 107 / 6.74 X 103 = 1.25 E 4 49) 9.7 X 108 / 8.6 X 10-2 = 1.1 E 10 50) 4.7 X 10-2 / 5.7 X 10-6 = 8.2 E 3

Report the answers to the correct number of significant figures:

51) (10.3 + 0.01345) ? (10.3 x 0.01345) = 74.4 52) (155.234 x 0.789) + (154.2 x 0.120) + (132.8 x 0.0901) = 153 53) (234 x 0.000123) + (234 x 0.999) = 234

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