Period:________
Practice Worksheet for Significant Figures
Name:__________
State the number of significant digits in each measurement.
1) 2804 m __4___
6) 4.06 x 10-5 m ___3__
2) 2.84 km __3___
7) 75,000 m __2___
3) 5.029 m __4___
8) 75.00 m __4___
4) 0.003068 m __4___
9) 75,000.0 m ___6__
5) 4.6 x 105 m __2___
10) 10 cm __1___
Convert the following metric units as indicated. Report all answers with 3 significant figures:
11) 3.682417 cm =
16) 1.3511 L =
3.68E-5 km
12) 21.860051 g =
1.35E3 mL
17) 2.473 mm =
2.19E-2 kg
13) 375.6523 m =
22) 79.2588 mg =
18) 5.687524 m =
7.93E-4 kg
23) 0.03062 cm =
5.69E-3 km
19) 7.555 g =
1.12E-1 L
15) 45.4673 cm=
2.25E4 mL
2.47E-3 m
3.76E5 mm
14) 112.511 mL =
21) 22.494 L =
3.06E-7 km
24) 3.4125 g =
7.56E3 mg
20) 8.235 kg =
4.65E-1 m
3.41E3 mg
25) 41.86632 kg =
8.24E3 g
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
31) 1.31 cm x 2.3 cm = 3.0cm
27) 1.6 km + 1.62 m +1200 cm = see Doolan
32) 5.7621 m x 6.201 m = 35.73m
28) 8.264 g - 7.8 g = 0.5g
33) 20.2 cm / 7.41 s = 1.50E2 cm/s
29) 10.4168 m - 6.0 m = 4.4m
34) 40.002 g / 13.000005 g = 520.03g
30) 12.00 m+15.001m= 27.00m
Express the following numbers, to 2 significant figures, in their equivalent scientific notation form:
35) 123,876.3 1.2 E 5
39) 0.000238 2.4 E -4
36) 1,236,840 1.2 E 6
40) 0.0000205 2.1 E -5
37) 422000 4.2 E 5
38) 0.000000000000211 2.1 E -13
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