Deck 1: Essentials: Units, Measurements, and Problem Solving

Question 1

How many mm are in 3.20 cm?

A) 3.20 × 10¹ mm
B) 3.20 × 10^-1 mm
C) 3.20 × 10^-2 mm
D) 3.20 × 10² mm
E) 3.20 × 10³ mm

Answer 1

3.20 × 10¹ mm

Question 2

Determine the density of an object that has a mass of 149.8 g and displaces 12.1 mL of water when placed in a graduated cylinder.

A) 8.08 g/mL
B) 1.38 g/mL
C) 12.4 g/mL
D) 18.1 g/mL
E) 11.4 g/mL

Answer 2

12.4 g/mL

Question 3

Read the length of the metal bar with the correct number of significant figures.

A) 20 cm
B) 15 cm
C) 15.0 cm
D) 15.00 cm
E) 15.000 cm

Answer 3

15.00 cm

Question 4

Read the length of the metal bar with the correct number of significant figures.

A) 20 cm
B) 15 cm
C) 15.0 cm
D) 15.00 cm
E) 15.000 cm

Question 5

What answer should be reported,with the correct number of significant figures,for the following calculation? (249.362 + 41)/ 63.498

A) 4.6
B) 4.57
C) 4.573
D) 4.5728
E) 4.57277

Question 6

Determine the mass of a metal cube that has a density of 12.7 g/mL and a volume of 87.63 mL.

A) 4.83 × 10³ g
B) 1.11 × 10³ g
C) 8.32 × 10-² g
D) 1.45 g 10^-1 g
E) 3.90 × 10² g

Question 7

Read the water level with the correct number of significant figures.

A) 87 ml
B) 87.2 mL
C) 87.20 mL
D) 87.200 mL
E) 87.2000 mL

Question 8

A student performs an experiment to determine the density of a sugar solution.She obtains the following results: 1.11 g/mL,1.81 g/mL,1.95 g/mL,1.75 g/mL.If the actual value for the density of the sugar solution is 1.75 g/mL,which statement below best describes her results?

A) Her results are precise, but not accurate.
B) Her results are accurate, but not precise.
C) Her results are both precise and accurate
D) Her results are neither precise nor accurate.
E) It isn't possible to determine with the information given.

Question 9

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)

A) 47 gallons
B) 21 gallons
C) 7.1 gallons
D) 24 gallons
E) 2.3 gallons

Question 10

Determine the volume of an object that has a mass of 455.6 g and a density of 19.3 g/cm³.

A) 87.9 mL
B) 42.4 mL
C) 18.5 mL
D) 23.6 mL
E) 31.2 mL

Question 11

How many significant figures are in the measurement,20.300 m?

A) 3
B) 4
C) 5
D) 1
E) 2

Question 12

What answer should be reported,with the correct number of significant figures,for the following calculation? (433.621 - 333.9)× 11.900

A) 1.19 × 10³
B) 1.187 × 10³
C) 1.1868 × 10³
D) 1.18680 × 10³
E) 1.186799 × 10³

Question 13

Gas is sold for $1.399 per liter in Toronto,Canada.Your car needs 12.00 gallons.How much will your credit card be charged in Canadian dollars?

A) $16.79
B) $67.15
C) $4.44
D) $63.54

Question 14

A student performs an experiment to determine the density of a sugar solution.She obtains the following results: 1.79 g/mL,1.81 g/mL,1.80 g/mL,1.81 g/mL.If the actual value for the density of the sugar solution is 1.80 g/mL,which statement below best describes her results?

A) Her results are precise, but not accurate.
B) Her results are accurate, but not precise.
C) Her results are both precise and accurate
D) Her results are neither precise nor accurate.
E) It isn't possible to determine with the information given.

Question 15

Identify the exact number.

A) 2
B) 2.0
C) 2.00
D) 2.000
E) 2.0000

Question 16

Systematic error is defined as

A) error that tends to be too high or too low.
B) error that has equal probability of being too high and too low.
C) error that averages out with repeated trials.
D) error that is random.

Question 17

If an object has a density of 8.65 g/cm³,what is its density in units of kg/m³?

A) 8.65 × 10^-3 kg/m³
B) 8.65 × 10^-7 kg/m³
C) 8.65 × 10³ kg/m³
D) 8.65 × 10¹ kg/m³
E) 8.65 × 10^-1 kg/m³

Question 18

A student performs an experiment to determine the density of a sugar solution.She obtains the following results: 1.71 g/mL,1.73 g/mL,1.67 g/mL,1.69 g/mL.If the actual value for the density of the sugar solution is 1.40 g/mL,which statement below best describes her results?

A) Her results are precise, but not accurate.
B) Her results are accurate, but not precise.
C) Her results are both precise and accurate
D) Her results are neither precise nor accurate.
E) It isn't possible to determine with the information given.

Question 19

What answer should be reported,with the correct number of significant figures,for the following calculation? (965.43 × 3.911)+ 9413.4136

A) 13189
B) 13189.2
C) 1.32 × 10⁴
D) 1.3 × 10⁴
E) 1.319 × 10⁴

Question 20

Read the water level with the correct number of significant figures.

A) 5 mL
B) 5.3 mL
C) 5.32 mL
D) 5.320 mL
E) 5.3200 mL

Question 21

Convert 125°C into Kelvin

A) 0K
B) -148K
C) 583K
D) 249K
E) 398K

Question 22

How many significant figures are in the measurement,0.0023?

A) 1
B) 2
C) 3
D) 4
E) 5

Question 23

What decimal power does the abbreviation p represent?

A) 1 × 10⁶
B) 1 × 10⁹
C) 1 × 10^-1
D) 1 × 10^-12
E) 1 × 10^-15

Question 24

Convert 250°F into Celsius

A) 121°C
B) 523°C
C) -32.7°C
D) 49.4°C
E) 95.3°C

Question 25

Identify the common substance that has the lowest density.

A) ice
B) aluminum
C) copper
D) table salt
E) sugar

Question 26

A mass of mercury occupies 0.750 L.What volume would an equal mass of ethanol occupy? The density of mercury is and the density of ethanol is 0.789 g/mL.

A) 0.0 437 L
B) 0. 0777 L
C) 12.9 L
D) 22.9 L

Question 27

Which of the following is the SMALLEST volume?

A) 2.6 cm³
B) 0.065 dL
C) 3.5 × 10² mL
D) 9.0 × 10⁶ nL

Question 28

What symbol is used to represent the factor 10⁹?

A) M
B) m
C) μ
D) G

Question 29

Which of the following are examples of extensive properties?

A) volume
B) color
C) density
D) temperature
E) solubility

Question 30

What decimal power does the abbreviation kilo represent?

A) 1 × 10^-1
B) 1 × 10⁶
C) 7 1 × 10^-2
D) 1 × 10³
E) 1 × 10^-3

Question 31

Which of the following are examples of intensive properties?

A) boiling point
B) volume
C) mass
D) None of the above are examples of intensive properties.
E) All of the above are examples of intensive properties.

Question 32

The factor 1,000,000 corresponds to which prefix?

A) deka
B) deci
C) mega
D) milli

Question 33

The factor 10⁶ corresponds to which prefix?

A) deka
B) deci
C) mega
D) milli

Question 34

Identify the common substance that has the highest density.

A) sugar
B) water
C) glass
D) lead
E) aluminum

Question 35

A cube has a 45.2 cm length.What is the volume of the cube?

A) 4.52 × 10³ cm³
B) 4.52 × 10² cm³
C) 9.23 × 10^-4 cm³
D) 9.23 × 10⁴ cm³
E) 45.2 cm³

Question 36

Meter is a measure of

A) length
B) temperature
C) mass
D) time
E) volume

Question 37

A piece of metal ore weighs 9.25 g.When a student places it into a graduated cylinder containing water,the liquid level rises from 21.25 mL to 26.47 mL.What is the density of the ore?

A) 0.3 49 g/mL
B) 0. 564 g/mL
C) 1. 77 g/mL
D) 2.86 g/mL

Question 38

Convert 781K into Celsius

A) 672°C
B) 273°C
C) 1054°C
D) 508°C
E) 835°C

Question 39

What is the volume (in cm³)of a 9.37 g piece of metal with a density of 4.66 g/cm³?

A) 2.01
B) 19.5
C) .425
D) 6.65
E) none of the above

Question 40

Identify the unit of measurement which is a SI base unit of measurement.

A) second
B) Celsius
C) cup
D) ounce
E) yard

Question 41

A propane molecule contains 3 atoms of carbon.The number 3 represents how many significant figures?

A) one
B) two
C) three
D) infinite

Question 42

Round the following number to four significant figures and express the result in standard exponential notation: 0.35462

A) -0.3546
B) 0.3546
C) 3.546 × 10¹
D) 3.546 × 10^-1
E) 35.46 × 10^-2

Question 43

How many significant figures are there in the answer for the following problem?
34)2 + 0.6699 + 18 = ?

A) one
B) two
C) three
D) four

Question 44

The width,length,and height of a large,custom-made shipping crate are 1.22 m,3.22 m,and 0.54 m,respectively.The volume of the box using the correct number of significant figures is ________ m³.

A) 2.12134
B) 2.1
C) 2.12
D) 2.121
E) 2.1213

Question 45

How many significant figures are in 1009.630 mL?

A) 3
B) 4
C) 5
D) 6
E) 7

Question 46

How many significant figures are there in the answer to the following problem?
( 8)881 × 2.100)+ 0.590 = ?

A) one
B) two
C) three
D) four

Question 47

How many of the following numbers contain 3 significant figures?
0)509 1.050 0.0 500 1.06 × 10²⁴

A) one
B) two
C) three
D) four

Question 48

How many significant figures are in 4.500 × 10⁴ m?

A) 3
B) 4
C) 5
D) 7
E) 8

Question 49

Which of the following is the greatest mass?

A) 100,000 μg
B) 1.000 × 10^-2 kg
C) 1.000 × 10^-2 cg
D) 1.000 × 10^-6 Mg

Question 50

A student weighed 300.0 μg of sulfur in the lab.This is the same mass as

A) 3.000 × 10^-7 g.
B) 3.000 × 10^-4 kg.
C) 3.000 × 10^-4 mg.
D) 3.000 × 10⁵ ng.

Question 51

How many significant figures are in the measurement,670000.m?

A) 2
B) 3
C) 4
D) 5
E) 6

Question 52

How many significant figures are in the measurement 5.3 g?

A) 1
B) 4
C) 3
D) 2
E) 5

Question 53

Which of the following numbers has the greatest number of significant figures?

A) 0. 8010
B) 0 .504
C) 742000
D) 9.05 × 10²⁴

Question 54

The mass of a proton is 1.67 × 10^-27 kg.What is the mass of a proton in milligrams?

A) 1.67 × 10^-27 mg
B) 1.67 × 10^-24 mg
C) 1.67 × 10^-21 mg
D) 1.67 × 10^-18 mg

Question 55

Determine the mass of an object that has a volume of 88.6 mL and a density of 7.77 g/mL.

A) 96.4 g
B) 0.0877 g
C) 11.4 g
D) 80.8 g
E) 688 g

Question 56

How many significant figures are in the measurement,0.0004932 g?

A) 4
B) 5
C) 6
D) 7
E) 8

Question 57

The mass of a single arsenic atom is 1.244 × 10^-22 g.This is the same mass as

A) 1.244 × 10^-16 mg.
B) 1.244 × 10^-25 kg.
C) 1.244 × 10^-28 μg.
D) 1.244 × 10^-31 ng.

Question 58

How many significant figures are there in the answer for the following problem? = ?

A) one
B) two
C) three
D) four

Question 59

Convert 5 μm to meters.

A) 5 × 10^-9 m
B) 5 × 10^-6 m
C) 5 × 10^-3 m
D) 5 × 10⁶ m

Question 60

The average distance between nitrogen and oxygen atoms is 115 pm in a compound called nitric oxide.What is this distance in centimeters?

A) 1.15 × 10^-9 cm
B) 1.15 × 10^-8 cm
C) 1.15 × 10¹² cm
D) 1.15 × 10¹⁶ cm

Question 61

Without using a calculator,solve the following problem.

A) 1 × 10⁰
B) 1 × 10⁷
C) 1 × 10²¹
D) 1 × 10²⁸

Question 62

Convert 15 m³ to liters.

A) 1.5 × 10^-2 L
B) 1.5 L
C) 1.5 × 10² L
D) 1.5 × 10⁴ L

Question 63

Which of the following volumes is equal to 30 mL?

A) 30 cm³
B) 30 dm³
C) 0. 30 L
D) 0.000 30 kL

Question 64

The density of air under ordinary conditions at 25°C is 1.19 g/L.How many kilograms of air are in a room that measures 10.0 ft x 11.0 ft and has an 10.0 ft ceiling? 1 in. = 2.54 cm. (exactly); 1 L= 10³ cm³

A) 3.32
B) 0.138
C) 3.71 ×
D) 0.0795
E) 37.1

Question 65

What wavelength of light would you report in units of nm,if the light had a wavelength of 8.80 × 10^-10 m?

A) 8.80 × 10^-3 nm
B) 8.80 × 10^-19 nm
C) 8.80 nm
D) 0.880 nm
E) 880 nm

Question 66

The estimated costs for remodelling the interior of an apartment are: three 1-gallon cans of paint at $12.89 each,two paint brushes at $12.22 each,and $145 for a helper.The total estimated cost with the appropriate significant figures is $_______.

A) 208.11
B) 2.1 ×
C) 208
D) 2 ×
E) 208.1

Question 67

How many mg does a 643 kg sample contain?

A) 6.43 × 10^-4 mg
B) 6.43 × 10⁷ mg
C) 6.43 × 10^-3 mg
D) 6.43 × 10⁶ mg
E) 6.43 × 10⁸ mg

Question 68

The diameter of an atom is approximately 1 × 10^-10 m.What is the diameter in picometers?

A) 1 × 10^-25 pm
B) 1 × 10^-22 pm
C) 1 × 10² pm
D) 1 × 10⁵ pm

Question 69

Without using a calculator,solve the following problem.

A) 1 × 10⁰
B) 1 × 10^-3
C) 1 × 10^-9
D) 1 × 10^-12

Question 70

How many liters of wine can be held in a wine barrel whose capacity is 30.0 gal? 1 gal= 4 qt = 3.7854 L.

A) 1.26 ×
B) 0.126
C) 114
D) 7.93 ×
E) 7.93

Question 71

If 1.4% of the mass of a human body is calcium,how many kilograms of calcium are there in a 185-pound man?

A) 1.2 kg Ca
B) 5.7 kg Ca
C) 1.2 × 10² kg Ca
D) 5.7 × 10² kg

Question 72

Convert 10,000 cm³ to m³.

A) 1 × 10^-2 m³
B) 1 × 10² m³
C) 1 × 10⁶ m³
D) 1 × 10¹⁰ m³

Question 73

1.032 lb = ________ grams.(1 lb = 454 g)

Question 74

How many kL does a 9.45 × 10⁸ cL sample contain?

A) 9.45 × 10³ kL
B) 9.45 × 10¹³ kL
C) 9.45 × 10⁴ kL
D) 9.45 × 10¹² kL
E) 9.45 × 10² kL

Question 75

How many cm³ are contained in 2.67 × 10⁴ mm³?

A) 2.67 × 10⁴ cm³
B) 2.67 × 10¹ cm³
C) 2.67 × 10^-10 cm³
D) 2.67 × 10²⁰ cm³
E) 2.67 × 10⁶ cm³

Question 76

A fishing boat accidentally spills 6.0 barrels of diesel oil into the ocean.Each barrel contains 42 gallons.If the oil film on the ocean is 2.5 × 10² nm thick,how many square meters will the oil slick cover?

A) 3.8 × 10^-3 m²
B) 3.8 × 10⁶ m²
C) 3.8 × 10⁷ m²
D) none of these

Question 77

The recommended adult dose of Elixophyllin ,a drug used to treat asthma,is 6.00 mg/kg of body mass.Calculate the dose in milligrams for a 112-lb person. 1 lb= 453.59g.

A) 24
B) 1,482
C) 1.5
D) 305
E) 3.0 ×

Question 78

How many liters of air are in a room that measures 11.0 ft x 12.0 ft and has an 8.00 ft ceiling? 1 in.= 2.54 cm (exactly); 1 L= 10³ cm³.

A) 2.99 ×
B) 111
C) 32.2
D) 3.22 ×
E) 9.45 × 10⁵

Question 79

Because of the high heat and low humidity in the summer in Death Valley,California,a visitor requires about one quart of water for every two miles traveled on foot.Calculate the approximate number of liters required for a person to walk 25 kilometers in Death Valley.

A) 7.3 L
B) 295 L
C) 76 L
D) 117 L

Question 80

How many mL are in 5.67 L?

A) 5.67 × 10^-3 mL
B) 5.67 × 10¹ mL
C) 5.67 × 10³ mL
D) 5.67 × 10^-1 mL
E) 5.67 × 10² mL