Practice Worksheet for Significant Figures



Review Study Guide for Quiz on Section 3.1 and 3.4.

Part 1. State the number of significant digits in each measurement. 

1)    2804 m          2)   2.84 km               3)   5.029 m             

4)   0.003068 m          5)   4.6 x 105 m         6)   4.06 x 10-5 m   

7)   750 m              8)  75 m                      9)   75,000 m

10)   75.00 m       11)  75,000.0 m        12)  10 cm

Part 2. Round the following numbers to four significant digits:

3.682417 21.860051 375.6523 112.511 45.4673

Part 3. Perform the following calculations and round your answer to the correct number of significant digits.

6.201 cm + 7.4 cm + 0.68 cm +12.0 cm = 

1.6 km + 1.62 m +1200 cm =  

1.31 cm x 2.3 cm =  

5.7621 m x 6.201 m 

Part 4: Density Problems. Perform necessary calculations by calculating mass, volume or density. Next, round your answer to the correct # of Significant Figures.

1. Determine the density of a rectangular piece of concrete that measures 3.7 cm by 2.1 cm by 5.8cm and has a mass of 43.8 grams.

2. Determine the density of a piece of granite that measures 5.02 cm by 1.35 cm by 2.78 cm and has a mass of 30.64 grams.

3. Determine the density of a brick in which 49.92 grams occupies 4.01 cm3.

4. Compare the densities of the concrete (#1), the granite (#2), and the brick (#3). Arrange them from lightest to heaviest.

5. Gold has a density of 19.32 g/ cm3. Find the mass of 6.39 cm3 of gold.

6. Determine the volume of 6.37 grams of magnesium if its density is 1.29g/cm3.

7. Determine the volume of 15.64 grams of iron if its density is 2.27 g/cm3.

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8. A graduated cylinder contains 30.0 ml of water. An object is placed in the cylinder and the water level moves to 46.7 ml. Find the density if the mass of the object is 121.3 grams.

9. You are given a block of material with dimensions of 11.20 cm x 4.10 cm x 0.59 cm. It has a mass of 19.20 g. What is the object’s density?

10. What is the relationship between temperature and density?

11. Firefighters always say that hot air rises and cold air sinks. Explain what happens to the atoms when air is heated. Why does hot air rise over cold air (explain using density)?

12. During an experiment, a student calculated the density of tin experimentally as 7.59g/ml. The true, or accepted value for the density of tin is 7.30g/ml. Calculate the percent error and round your answer based on significant digit rules.

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