Practice Worksheet for Significant Figures
1. State the number of significant digits in each measurement.
a. 2804 m ____
b. 2.84 km ____
c. 5.029 m ____
d. 0.003068 m ____
e. 4.6 x 105 m ____
f. 4.060 x 10-5 m ___
g. 750 m ____
h. 750. m ____
i. 75,000 m ____
j. 75.00 m ____
k. 75,000.0 m ____
l. 10 cm ___
2. Round the following numbers as indicated:
To four sig figs: 3.682417 _____ 21.860051 _____ 112.511 _____ 45.4673 _____
To the 10ths: 2.473 _____ 5.687524 _____ 7.555 _____ 8.235 _____
To the 100ths: 79.2588 _____ 0.03062 _____ 3.4125 _____ 41.86632 _____
3. Solve the following problems and report answers with appropriate number of significant digits.
a. 6.201 cm + 7.4 cm + 0.68 cm + 12.0 cm = __________
b. 1.6 km + 1.62 m + 1200 cm = __________
c. 8.264 g - 7.8 g = __________
d. 10.4168 m - 6.0 m = __________
e. 12.00 m + 15.0018 kg= __________
f. 1.319 cm x 2.3 cm = __________
g. 5.7621 m x 6.201 m = __________
h. 20.2 cm / 7.41 s = __________
i. 40.002 g / 13.000005 g = _________
4. Express the following numbers in their equivalent standard scientific notational form:
123,876.3 ___________
1,236,840 ___________
422000 ____________
0.000000000000214 ____________
0.000238 ____________
0.0000205 ____________
5. Identify the sums or differences of the following:
(8.41 X 104) + (9.71 X 104) = ________________
(5.11 X 102) - (4.2 X 102) = ________________
(8.2 X 103) + (4.0 X 103) = ________________
(6.3 X 10-2) - (2.1 X 10-2) = ________________
6. Express the product and the quotients of the following:
(3.56 X 105) (4.21 X 106) = ________________
(2 X 107) (8 X 10-9) = ________________
(4.11 X 10-6) (7.51 X 10-4) = ________________
(8.45 X 107) / (6.74 X 103) = ________________
(9.7 X 108) / (8.6 X 10-2) = ________________
(4.7 X 10-2) / (5.7 X 10-6) = ________________
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