Homework Assignment Submission 2 - Duy Nguyen
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Houston Community College *
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Course
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Subject
Mathematics
Date
Apr 3, 2024
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Chapter 2 Measurement and Problem Solving
1) The correct scientific notation for the number 0.00050210 is:
A) 5.0210 × 104
B) 5.021 × 10-4
C) 5.021 × 104
D) 5.0210 × 10-4
E) none of the above
Answer: D
2) The correct scientific notation for the number 500.0 is:
A) 5 × 102
B) 5.00 × 102
C) 5.000 × 102
D) 5 × 10-2
E) none of the above
Answer: C
3) The distance between the two hydrogen atoms in a molecule of water is 0.000000000172 m.
Express this distance in scientific notation.
A) 1.72 × m
B) 1.72 × m
C) 0.172 × m
D) 17.2 × m
E) 1.72 × m
Answer: B
4) The wavelength of blue light is 0.00000045 m. Express this wavelength in scientific notation.
A) 4.5 × m
B) 4.5 × m
C) 4.5 × m
D) 4.5 × m
E) 0.45 × m
Answer: C
5) The correct decimal representation of 1.201 × 10-7 is:
A) 12010000
B) 0.0001201
C) 0.0000001201
D) 1201.000
E) none of the above
Answer: C
6) The correct decimal representation of 6.453 × 103 is:
A) 6,453
B) 0.006453
C) 6.5 × 103
D) 6.453
E) none of the above
Answer: A
7) Suppose a thermometer has marks at every one degree increment and the mercury level on the
thermometer is exactly between the 25 and 26 degree Celsius marks. We should properly report
the temperature measurement as:
A) 25°C
B) 26°C
C) 25.5°C
D) 25.50°C
E) 25.55°C
Answer: C
8) In the number 48.93, which digit is estimated?
A) 4
B) 8
C) 9
D) 3
E) None of the above, all digits are certain.
Answer: C
9) There are exactly 2.54 centimeters in 1 inch. When using this conversion factor, how many
significant figures are you limited to?
A) 1
B) 3
C) ambiguous
D) depends on if you are using it in multiplication/division or addition/subtraction
E) infinite number of significant figures
Answer: E
10) The correct number of significant figures in the number 865,000 is:
A) 3
B) 6
C) 4
D) ambiguous
E) none of the above
Answer: D
11) The correct number of significant figures in the number 1.250100 is:
A) 5
B) 7
C) 4
D) ambiguous
E) none of the above
Answer: B
12) The correct number of significant figures in the number 0.027090 is:
A) 7
B) 6
C) 5
D) ambiguous
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E) none of the above
Answer: C
13) The correct number of significant figures in the number is:
A) 3
B) 4
C) 5
D) ambiguous
E) none of the above
Answer: B
14) The correct number of significant figures in the number 4.0 × 10-2 is:
A) 1
B) 2
C) 3
D) ambiguous.
E) none of the above
Answer: B
15) The correct number of significant figures in the number 0.002320 is:
A) 7
B) 4
C) 3
D) ambiguous
E) none of the above
Answer: B
16) Which of the following statements is NOT part of the rules for determining significant
figures?
A) Non-zero digits at the end of a number are not significant.
B) Zeroes between two numbers are significant.
C) Zeroes to the left of the first non-zero number are not significant.
D) Trailing zeroes at the end of a number, but before an implied decimal point are ambiguous.
E) All of the above statements are part of the rules.
Answer: A
17) When the value 4.449 is rounded to two significant figures, the number should be reported
as:
A) 4.4
B) 4.5
C) 4.44
D) 4.45
E) none of the above
Answer: A
18) How many significant digits should be reported in the answer to the following calculation?
(4.3 - 3.7) × 12.3 =
A) 1
B) 2
C) 3
D) 4
E) none of the above
Answer: A
19) Determine the answer for the equation below with correct number of significant figures:
3.215 × 13.2 ÷ 0.218 = ________
A) 194.669
B) 195
C) 194.7
D) 194.67
E) none of the above
Answer: B
20) Determine the answer for the equation below with correct number of significant figures:
1.2 × 1.79 = ________
A) 2.148
B) 2.15
C) 2.1
D) 2.2
E) none of the above
Answer: C
21) Determine the answer to the following equation with correct number of significant figures:
106 ÷ 9.02 × 1.9 = ________
A) 22.32816
B) 22.328
C) 22.3
D) 22
E) none of the above
Answer: D
22) Determine the answer to the following equation with correct number of significant figures:
2.02 + 8.102 - 0.0297 = ________
A) 10.0923
B) 10.09
C) 10.1
D) 10.092
E) none of the above
Answer: B
23) Determine the answer to the following equation with correct number of significant figures:
13.96 - 4.9102 + 71.5 = ________
A) 80.5498
B) 81
C) 80.5
D) 80.55
E) none of the above
Answer: C
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24) Determine the answer to the following equation with correct number of significant figures:
(4.123 × 0.12) + 24.2 = ________
A) 25
B) 24.695
C) 24.70
D) 24.7
E) none of the above
Answer: D
25) Determine the answer to the following equation with correct number of significant figures:
(17.103 + 2.03) × 1.02521 = ________
A) 19.6153
B) 19.62
C) 19.6
D) 20
E) none of the above
Answer: B
26) The correct prefix for the multiplier 1,000,000 is:
A) mega.
B) milli.
C) micro.
D) nano.
E) none of the above
Answer: A
27) The correct prefix for the multiplier 1,000 is:
A) mega.
B) milli.
C) micro.
D) nano.
E) none of the above
Answer: E
28) The correct prefix for the multiplier 0.1 is:
A) tera.
B) deci.
C) femto.
D) pico.
E) none of the above
Answer: B
29) The correct prefix for the multiplier 0.000001 is:
A) mega.
B) milli.
C) micro.
D) nano.
E) none of the above
Answer: C
30) The correct prefix for the multiplier 100 is:
A) mega.
B) hecto.
C) centi.
D) nano.
E) none of the above
Answer: B
31) The correct prefix for the multiplier 10 is:
A) deca.
B) deci.
C) tera.
D) centi.
E) none of the above
Answer: A
32) The correct prefix for the multiplier 1,000,000,000 is:
A) mega.
B) milli.
C) tera.
D) giga.
E) none of the above
Answer: D
33) The correct multiplier for the prefix pico is:
A) 10-3
B) 10-6
C) 10-9
D) 10-12
E) none of the above
Answer: D
34) The correct multiplier for the prefix femto is:
A) 10-15
B) 10-12
C) 1012
D) 109
E) none of the above
Answer: A
35) The correct multiplier for the prefix milli is:
A) 10-3
B) 10-6
C) 10-9
D) 10-12
E) none of the above
Answer: A
36) The correct multiplier for the prefix micro is:
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A) 103
B) 10-6
C) 10-9
D) 106
E) none of the above
Answer: B
37) What is the base SI unit for length?
A) mile
B) centimeter
C) foot
D) meter
E) none of the above
Answer: D
38) What is the base SI unit for mass?
A) kilogram
B) gram
C) pound
D) ton
E) none of the above
Answer: A
39) The base SI unit for temperature is:
A) Fahrenheit.
B) Kelvin.
C) Celsius.
D) atmospheres.
E) none of the above
Answer: B
40) Which measurement below represents the heaviest mass?
A) 1 mg
B) 1 kg
C) 1 pg
D) 1 Mg
E) 1 dg
Answer: D
41) Which of the following sets of units is NOT in the order of increasing size?
A) μg < g < kg
B) mL < dL < L
C) ns < ms < s
D) cm < μm < km
E) μmol < mmol < mol
Answer: D
42) An American nickel five cent coin has a mass of approximately 5 grams. Five grams is
equivalent to which term?
A) 5000 kilograms
B) 5000 milligrams
C) 50 centigrams
D) 5000 micrograms
E) none of the above
Answer: B
43) Which of the following would NOT be considered a correct conversion factor?
A) 1 dozen eggs = 12 eggs
B) 12 eggs = 1 dozen eggs
C) 1 pair of shoes = 1 shoe
D) 100 pennies = 1 dollar
E) 5 cents = 1 nickel
Answer: C
44) The common English unit in which the speed of an automobile is expressed is miles/hr. What
is the set of base SI units for speed?
A) mile/s
B) km/hr
C) km/s
D) m/s
E) none of the above
Answer: D
45) The typical problem-solving procedure involves four steps in the order:
A) sort, strategize, solve, check.
B) strategize, solve, sort, check.
C) check, strategize, sort, solve.
D) solve, sort, check, strategize.
Answer: A
46) How many inches are in 25.8 cm?
A) 0.10
B) 28.3
C) 0.0984
D) 10.2
E) none of the above
Answer: D
47) How many inches are in 2.80 ft?
A) 34
B) 33.6
C) 0.233
D) 4.29
E) none of the above
Answer: B
48) How many grams are in 1.48 × 107 μg?
A) 1.48 × 103
B) 1.48 × 1013
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C) 1.48
D) 14.8
E) none of the above
Answer: D
49) How many milliliters are in 17.5 L?
A) 175
B) 1.75 × 10-2
C) 1.75 × 103
D) 1.75 × 104
E) none of the above
Answer: D
50) How many microliters are in 41.0 mL?
A) 4.1 × 103
B) 4.1 × 1010
C) 0.041
D) 4.10 × 104
E) none of the above
Answer: D
51) How many liters are in 333 mL?
A) 3.33 × 105
B) 0.333
C) 33.3
D) 3.33
E) none of the above
Answer: B
52) How many low dose 81 mg aspirin tablets can be made from 1.21 kg of aspirin?
A) 1.5 × tablets
B) 1.5 × tablets
C) 1.5 × tablets
D) 1.21 × tablets
E) 1.21 × tablets
Answer: B
53) A 12-oz can of soda pop costs eighty-nine cents. A 2.00 L bottle of the same variety of soda
pop costs $2.29. How many times more expensive it is to buy the 12-oz can of pop compared to
buying it in a 2.00 L bottle? (1.00 L = 1.057 quart and 1 quart contains 32 oz)
A) 1.9
B) 2.2
C) 2.6
D) 2.8
E) 4.2
Answer: B
54) How many cm3 are there in 2.5 m3?
A) 2.5 × 106
B) 2.5 × 10-2
C) 2.5 × 102
D) 2.5 × 10-6
E) none of the above
Answer: A
55) How many cm3 are there in 1.25 ft3?
A) 38.1
B) 5.49 × 103
C) 246
D) 3.54 × 104
E) none of the above
Answer: D
56) A room has dimensions of 10.0 ft × 20.0 ft × 8.00 ft. Given that there are three feet in a yard,
what is the volume of the room in yd3?
A) 178
B) 59.3
C) 1.60 × 103
D) 533
E) none of the above
Answer: B
57) What is the volume of a cube with dimensions 11.0 cm × 11.0 cm × 11.0 cm in m3?
A) 1.331 × 10-3
B) 1.33 × 103
C) 1.33 × 10-3
D) 1.3 × 103
E) none of the above
Answer: C
58) Which term below is equivalent to one milliliter?
A) 1 cc
B) 1 mL
C) 1 cm3
D) all of the above
E) none of the above
Answer: D
59) A plastic block has dimensions of 2.2 cm × 3.0 cm × 1.5 cm and a mass of 12.4 grams. Will
the block float in water and why?
A) Yes, because the density of the block is 1.3 g/mL which is less than the density of water.
B) Yes, because the density of the block is 0.80 g/mL which is less than the density of water.
C) No, because the density of the block is 1.3 g/mL which is greater than the density of water.
D) No, because the density of the block is 0.80 g/mL which is greater than the density of water.
E) none of the above
Answer: C
60) Suppose a boat engine leaks 938 milliliters of oil into a lake. The mass of this spilled oil is
The oil will not mix with the lake water. Which statement is true?
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A) The oil will sink because its density of 0.877 g/mL is greater than the density of water.
B) The oil will float because its density of 0.877 g/mL is less than the density of water.
C) The oil will sink because its density of 1.14 g/mL is greater than the density of water.
D) The oil will float because its density of 1.14 g/mL is less than the density of water.
E) none of the above
Answer: B
61) A lead ball has a mass of 55.0 grams and a density of 11.4 g/cm3. What is the volume of the
ball?
A) 0.207 mL
B) 0.207 L
C) 4.82 mL
D) 4.82 L
E) none of the above
Answer: C
62) Given the density of Au is 19.3 g/cm3, determine the mass of gold (in grams) in an ingot
with the dimensions of 10.0 in × 4.00 in × 3.00 in.
A) 3.80 × 104
B) 102
C) 2.32 × 103
D) 0.161
E) none of the above
Answer: A
63) What is the density (g/mL) of an object that has a mass of 14.01 grams and, when placed into
a graduated cylinder, causes the water level to rise from 25.2 mL to 33.6 mL?
A) 0.60
B) 1.7
C) 1.8
D) 2.4
E) none of the above
Answer: B
64) An object weighing 1.840 kg has a volume of 0.0015 m3. What is the density of the object in
g/cm3?
A) 1.2
B) 0.0012
C) 0.82
D) 0.0028
E) none of the above
Answer: A
65) Given the following list of densities, which materials would float in a molten vat of lead
provided that they do not themselves melt? Densities (g/mL): lead = 11.4, glass = 2.6, gold =
19.3, charcoal = 0.57, platinum = 21.4.
A) gold and platinum
B) glass and charcoal
C) gold, platinum, glass and coal
D) gold and charcoal
E) none of the above
Answer: B
66) A popular science demonstration is to take several liquids that will not mix together and
"stack" these liquids in a tall glass cylinder. Suppose the following three liquids were placed in
the same tall, narrow glass cylinder:
SUBSTANCE DENSITY
g/mL
vinegar 1.01
motor oil 0.87
corn syrup 1.36
These liquids would stack in which order?
A) corn syrup on top, motor oil in the middle, vinegar on the bottom
B) vinegar on top, motor oil in the middle, corn syrup on the bottom
C) motor oil on top, corn syrup in the middle, vinegar on the bottom
D) corn syrup on top, vinegar in the middle, motor oil on the bottom
E) motor oil on top, vinegar in the middle, corn syrup on the bottom
Answer: E
67) The distance from New York City to Washington, DC is approximately 235 miles. Identify
the correct solution map to convert from miles to kilometers using the prefix multipliers and the
given conversion factors: 1 mile = 5280 ft; 1 ft = 12 in; 1 in = 2.54 cm.
A) 235 mile × × × × ×
B) 235 mile × × × × ×
C) 235 mile × × × × ×
D) 235 mile × × × ×
E) 235 mile × × × ×
Answer: C
68) The Olympic Games shot put field event uses a 16 pound (lb) shot. Identify the correct
solution map to convert from pounds to kilograms using prefix multipliers and the given
conversions of and .
A) 16 lb × × ×
B) 16 lb × × ×
C) 16 lb × × ×
D) 16 lb × × ×
Answer: C
69) Metals expand to a larger volume when heated. If a piece of metal was heated, which one of
the following statements would be TRUE?
A) The newly calculated density value of the metal would not change from the initial value.
B) The newly calculated density value would decrease.
C) The newly calculated density value would increase.
D) The mass of the metal would also increase.
E) none of the above
Answer: B
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70) The jet fuel in an airplane has a mass of 97.5 kg and a density of 0.804 g/cm3. What is the
volume of this jet fuel?
A) 7.84 × cm3
B) 7.84 × cm3
C) 1.21 × cm3
D) 1.21 × cm3
E) none of the above
Answer: D
Algorithmic Questions
1) The exponential is equal to which decimal number?
A) 10,000
B) 1
C) 10
D) 100
E) none of the above
Answer: A
2) The decimal value 10 is equal to which exponential?
A) 10^4
B) 10^3
C) 10^2
D) 10^1
E) none of the above
Answer: D
3) The decimal value 0.01 is equal to which exponential?
A) 10^-3
B) 10^-2
C) 10^-4
D) 10^-5
E) none of the above
Answer: B
4) The exponential 10^-3 is equal to which decimal number?
A) 0.1
B) 0.001
C) -0.00001
D) -0.0001
E) none of the above
Answer: B
5) How would the number 8,155 be written in scientific notation?
A)
B)
C)
D)
E) none of the above
Answer: A
6) How would the number 1.09x10^1 be expressed in decimal form?
A) 109
B) 0.109
C) 1.09
D) 10.9
E) none of the above
Answer: D
7) How many significant figures are in the number 2903?
A) 2
B) 5
C) 4
D) 3
E) none of the above
Answer: C
8) How many significant figures are represented by the following number that is written in
scientific notation? 2.5 × 10^3
A) 0
B) 1
C) 2
D) 3
E) none of the above
Answer: C
9) When rounding the number 2.348615 to 4 significant figures, what is the correct value?
A) 2.3490
B) 2.340
C) 2.349
D) 2.348
E) none of the above
Answer: C
10) How many significant figures should be reported in the answer to the following calculation?
(1.40) × (17.1) =
A) 0
B) 1
C) 2
D) 3
E) none of the above
Answer: D
11) How many significant figures should be reported in the answer to the following calculation?
(8.50) × (29.0) × (1.0947) =
A) 3
B) 2
C) 4
D) 5
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E) none of the above
Answer: A
12) How many significant figures should be reported in the answer to the following calculation?
(13.21)(14.021)/(2.00)= A) 3
B) 4
C) 2
D) 5
E) none of the above
Answer: A
13) How many significant figures should be reported in the answer to the following calculation?
(4.921) + (16.2) =
A) 3
B) 2
C) 1
D) 4
E) none of the above
Answer: A
14) How many significant figures should be reported in the answer to the following calculation?
(43.980) × (19.0023 + 25) =
A) 3
B) 2
C) 4
D) 1
E) none of the above
Answer: C
15) The prefix micro represents which multiplier?
A) 0.000001
B) 1,000,000
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C) 0.001
D) 1,000
E) none of the above
Answer: A
16) The multiplier 0.01 is represented by which prefix?
A) kilo-
B) deci-
C) centi-
D) milli-
E) none of the above
Answer: C
17) The metric prefix k would be presented as 10 to the power of:
A) -3
B) 3
C) 12
D) -9
Answer: B
18) How many inches are in 6.32 cm?
A) 16.1
B) 2.49
C) 3.78
D) 8.86
E) none of the above
Answer: B
19) How many are in 2.20 ?
A) 36.1
B) 10.6
C) 0.1340
D) 7.45
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E) none of the above
Answer: C
20) What is the density of 96 mL of a liquid that has a mass of 90.5 g?
A) 0.94 g/mL
B) 1.1 g/mL
C) 186.5 g/mL
D) 28.4 g/mL
E) none of the above
Answer: A
21) What is the volume of 19.6 g of a liquid that has a density of 0.967 g/mL?
A) 16.9 mL
B) 20.3 mL
C) 14.7 mL
D) 17.9 mL
E) none of the above
Answer: B
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