Name ____________________________ Class period
Name: ANSWER KEY Date: ________________ Block: _____
“Significant Figures and Calculations” Practice
Directions: Please answer the following questions to the best of your ability.
Significant Figures
1. How many significant figures are there in the following numbers?
a) 23 2 sig figs g) 32.80 4 sig figs
b) 1.498 4 sig figs h) 107 3 sig figs
c) 248.0 4 sig figs i) 0.238 3 sig figs
d) 9.055 4 sig figs j) 80.035 5 sig figs
e) 76000 2 sig figs k) 0.005789 4 sig figs
f) 670 2 sig figs l) 542000. 6 sig figs
Rounding
2. Round the following numbers to two significant digits.
a) 9.365 9.4 b) 19.9954 20.
3. Round the following numbers to three significant digits.
a) 0.0008769 0.000877 b) 876493 876,000
Adding and Subtracting
4. Express the answer to each of the following calculations with the correct number of significant figures.
a) 3.42 + 8.132 11.55 f) 3.882 m – 2.1 m 1.8 m
b) 4.9 + 3.822 8.7 g) 17.8 s + 12.115 s 29.9 s
c) 4.894 - 2.03 2.86 h) 4.55 g + 3.45 g 8.00 g
d) 1.966 + 3.4422 5.408 i) 11.22 dm - 8.8 dm 2.4 dm
e) 15.6600 - 12.838 2.822 j) 133 mL - 20 mL 113 mL
Multiplying and Dividing
5. Express the answer to each of the following calculations with the correct number of significant figures.
a) 1.2 x 1.3 1.6 f) 32.88 / 4.38 7.51
b) 2.16 x 1.8 3.9 g) 40.1 kg x 0.2453 m2 9.84 kg x m2
c) 0.2 g / 0.0005 mol 400 g/mol h) 3.244 m / 1.4 s 2.3 m/s
d) 0.021 x 0.09330 0.0020 i) 0.99 / 3.4484 0.29
e) 4.3324 x 1.2 5.2 j) 0.0945 mol x 1.47 g/mol 0.139 g
Scientific Notation
6. Convert from scientific notation:
a) 1.89 x 10-4 = 0.000189 b) 2.1 x 104 = 21000 c) 7.22 x 101 = 72.2
7. Convert to scientific notation:
a) 0.0000799 = 7.99 x 10-5 b) 2100 = 2.1 x 103 c) 0.12232 = 1.2232 x 10-1
8. Express the answer of the following calculations in scientific notation with the correct number of significant figures.
a) 45.0 x 270 1.2 x 104 c) 0.00734 / 10,450 7.02 x 10-7
b) (2.215 x 10-4) x (4.4 x 10-2) f) (6.43 x 106) / (1.7 x 109)
9.7 x 10-6 3.8 x 10-3
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