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Date:
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Review Problems Chapter 3 Measurement
Measuring problems. Write the measurement for each of the following with the correct
number of sigfigs.
4.
1.
5.
2.
3.
6.
7.
Scientific Notation Problems – Write each number in scientific notation.
5) 3,010,000
9) 65,000,000,000,000,000
1) 28,000,000
2) 305,000
6) 0.000000000000057
3) 0.000000463
7) 20,100
4) 0.000201
8) 0.00025
10) 288 x 105
Identify the number of Significant Figures (assuming these are all measurements):
1) 3.0800
5) 0.003005
9) 0.0101
2) 0.00418
6) 3.200 x 109
10) 0.0080
3) 7.09 x 10-5
7) 250
4) 91,600
8) 780,000,000
Math with Significant Figures (addition/subtraction):
1) 3.461728 + 14.91 + 0.980001 + 5.2631
4) 0.04216 - 0.0004134
2) 23.1 + 4.77 + 125.39 + 3.581
3) (2.71 x 106) - (5.00 x 104)
JL Daniel 10-24-2011
5) 564,321 - 264,321
Math with Sigfigs (multiplication/division):
1) (3.4617 x 107) ÷ (5.61 x 10-4)
2) (2.68 x 10-5) x (4.40 x 10-8)
3) (4.7620 x 10-15) ÷ [(3.8529 x 1012) (2.813 x 10-7)
(9.50)]
4) (8.41 x 106) x (5.02 x 1012)
Metric System Problems:
I. Given either the name or the symbol of the prefix, give the other:
1) c
4) nano
7) pico
2) k
5) milli
6) d
 
II. Given the prefix size, give its name:
8) 10-12
11) 10-2
9) 1,000
12) 0.000001
10) 10-1
III. Convert the following metric measures:
1) 0.75 kg to milligrams
3) 0.02390 g to µg
2) 1500 millimeters to cm
4) 52 pm to nanometers
5) 65 ng to cg
Density problems:
1) A block of aluminum occupies a volume of 15.0 mL and weighs 40.5 g. What is its
density?
2) Mercury metal is poured into a graduated cylinder that holds exactly 22.5 mL. The
mercury used to fill the cylinder weighs 306.0 g. From this information, calculate the
density of mercury.
3) What is the mass of the ethyl alcohol that exactly fills a 200.0 mL container? The
density of ethyl alcohol is 0.789 g/mL.
4) A rectangular block of copper metal weighs 1896 g. The dimensions of the block are
8.4 cm by 5.5 cm by 4.6 cm. From this data, what is the density of copper?
5) A flask that weighs 345.8 g is filled with 225 mL of carbon tetrachloride. The mass of
the flask and carbon tetrachloride is found to be 703.55 g. From this information,
calculate the density of carbon tetrachloride.
JL Daniel 10-24-2011