Chapter 2 Homework
Please complete all questions on a separate piece of paper. For questions that require calculations show ALL steps and box all of the answers for full credit.
Questions
 Define the different types of zeros found in a number and explain whether or not they are significant.
 Give the two conversion factors you can construct using each pair of units.
c) meters and kilometers
b) liters and microliters
a) seconds and milliseconds
 In general, how can you identify whether or not you have written the correct conversion factor for the problem?
 Construct a conversion factor that can convert from one unit to the other in each pair of units.
 meter to km
 inch to cm
 pounds to kilogram
Scientific Notation
 Convert each number into scientific notation
 736,350
 0.0042
 2500
 0.478
 Convert each number into decimal notation a. 7.42 x 10^{3}
 1.3 x 10^{3}
 1.5 x 10^{6 }
 1.5147 x 105
 Fill in the blank
Scientific Notation  Decimal Notation 
a) 4.7 x10^{3} 

b)  7,410. 
c) 9.3 x 10^{4} 

d)  0.0045 
Significant Figures
8) Use each diagram to report a measurement to the proper number of significant figures. a)
b)
c)
d)
9)
a)
b)
c)
d)
10) Give the number of significant figures in each. Identify the rule for each. a) 0.000140500 s
 630,001 kg
 155.000 in
 0.0745 m
 How many significant figures are in each number?
 1.05
 9,500
 0.0004505
 7563
 How many significant figures are in each number? a. 0.052010
 0.3940
 8200
 8563
Rounding
 Round each number to three significant figures.
 24.632
 0.34244
 43,539
 6.9978 x 10^{6 }
 Determine if each number is rounded correctly to three significant figures. For the one that is incorrect, correct them
 3.459 x 10^{3 }to 3.5 x 10^{3}
 4.874 x 10^{3} to 50
 87.42 to 87.4
 0.09853 to 0.010
 Complete the table
Number  Rounded to 4 Significant Figures  Rounded to 2 Significant Figures  Rounded to 1 Significant Figures 
a. 53.53229  53.53  54  5 x 10^{1} 
b.216.3535 



c. 0.36682 



d. 0.00888881 



Significant Figures in Calculations
 Determine if each calculation has the correct number of significant figures. For the one that is incorrect, correct them
 105.34 x 47.334532 = 4986.22
 0.047 x 23.3544 = 1.098
 5.5225 / 503.455 = 0.010969
 0.000154*1002.2 = 0.15
 Determine if each calculation has the correct number of significant figures. For the one that is incorrect, correct them
 5.8 + 63.09 – 14 = 54.9
 4301 – 2900.14 + 1.6 = 1402
 0.00354 + 0.86 = 0.863
 0.00974 – 0.008 = 0.00074
18) Determine if each calculation has the correct number of significant figures. For the one that is incorrect, correct them
 3.5 + 94.04 – 50 = 47.5
 8206 – 5614.25 + 5.5 = 2597.25
 0.00354 + 0.864 = 0.868
 0.01874 – 0.010 = 0.00874
19) Determine if each calculation has the correct number of significant figures. For the one that is incorrect, correct them
 (9.95 + 3.09) / 7.40000 = 1.762
 (1045.3 – 1.4) x 1.604 = 1674
 (749.40 + 6.7) / 4.54 = 1.6 x 10^{2 }
 (845 / 301457) + 5.000198 = 5.00
Unit Conversion
20) Convert the following metric quantities into the indicated units. Identify the number of significant figures in each answer. a. 1000. g into milligram
 6981 nm into meter
 15 mL into liter
d) 345 cm to millimeters
21) Use EnglishtoMetric and MetrictoEnglish conversion factors to calculate the following: a) 87.6 ft into centimeter
 557 yd to meters
 645 feet to centimeter
 7.0 inch to cm
22) Use EnglishtoMetric and MetrictoEnglish conversion factors to calculate the following: a) 90.7 ft into millimeter
 14.8 lbs to kg
 400. m to mi
 12.0 inch to cm
23) Fill in the blank to complete the table
m  km  mm  nm  pm 
6.02 x10^{5} s 
 6.02 x 10^{2} mm 





 25.3 pm 


 225 nm 

 8.22 x 10^{3} km 




 4.2 x 10^{5} mm 


Unit Raised to a Power 24) Perform each conversion a) 1.2 ft^{2} = _____in^{2}
 1.2 yd^{2} = _______ft^{2 }
 1.2 m^{3} = _______ yd^{3}
25) Perform each conversion a) 3.5 ft^{2} = _____in^{2}
 3.5 yd^{2} = _______ft^{2 }
 35 m^{3} = _______ yd^{3 }
26) A pizza has an area of 3.44 m^{2}. Perform a conversion to each of the following units. a) in^{2}
 mm^{2}
 km^{2}
Density
 A copper strip has a mass of 4.67 gram and volume of 0.523 cm^{3}. What is the density of the copper strip? Is the strip pure copper?
 A silver ingot has a mass of 70.34 gram and volume of 8.5 cm^{3}. What is the density of the ingot? Is the ingot pure silver?
 Given the density of Gold is 19.3 g/cm^{3}
 Determine the mass of gold (in grams) in an ingot with the volume of 121 cm^{3}
 Determine the volume of gold (in cm^{3}) in an ingot with the mass of 1354 gram
30) Given the density of Cu is 8.93 g/cm^{3}
 Determine the mass of copper (in gram) in a copper strip with the volume of 433.0 cm^{3}.
 Determine the volume of copper (in cm^{3}) in a copper strip with the mass of 502.34 gram.
31) Given the density of lead is 11.34 g/cm^{3 }
 Determine the mass of lead (in gram) in a lead block with the volume of 607.9 cm^{3}.
 Determine the volume of lead (in cm3) in a lead block with the mass of 802.35 gram.
Cumulative Problems
 If the walls in a room are 955 square feet in area, and a gallon of paint covers 15 square yards, how many gallons of paint are needed for the room? (3 ft = 1 yd)
 If an object has a density of 8.65 g/cm^{3}, what is its density in units of kg/m^{3}?
Chapter 2
 Water is being pumped out of a reservoir at a rate of 2.54 liters per 15.0 seconds. If the reservoir contains 1.0500 x 10^{6} gallons of water, how many hours will it take to empty it?
 The mass of an average blueberry is 0.75 g and the mass of an automobile is 2.0103 kg. Find the number of automobiles whose total mass is the same as 1.0 x 10^{10} blueberries?
 Tom and Mary both have farms. Tom raises chicken for eggs while Mary plants apple. Tree pounds of apple can be exchanged with 1 dozen of eggs. If Tom has 130. eggs to exchange with Mary, how many pounds of apple will he get?
 Calculate the number of seconds in 1.00 year.