What does 'km' stand for in the metric system?
- A. kilometer
- B. kilomole
- C. kilobyte
- D. knot
Correct Answer: A
Rationale: In the metric system, 'km' stands for kilometer, which is a unit of length equal to 1,000 meters. This choice is correct as 'kilometer' is the standard unit for measuring long distances. Choice B, 'kilomole,' is incorrect as it is a unit in chemistry representing a quantity of substance. Choice C, 'kilobyte,' is incorrect as it is a unit of digital information storage, not a unit of measurement. Choice D, 'knot,' is incorrect as it is a unit of speed used in navigation and aeronautics, not a unit of length in the metric system.
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The metric prefix of Tera is abbreviated as T- and has a value of 10^12. What does Tera mean numerically?
- A. 10^6
- B. 10^9
- C. 10^12
- D. 10^3
Correct Answer: C
Rationale: The correct answer is C: 10^12. Tera represents a numerical value of 10^12, which is equivalent to one trillion. It is commonly used in computing and other fields to denote large-scale measurements. Choice A, 10^6, is incorrect as it corresponds to the metric prefix 'Mega.' Choice B, 10^9, is incorrect and corresponds to the metric prefix 'Giga.' Choice D, 10^3, is incorrect and corresponds to the metric prefix 'Kilo.' Therefore, the correct interpretation of the metric prefix Tera is 10^12.
How many milligrams are in 2 grams?
- A. 200 mg
- B. 2,000 mg
- C. 20 mg
- D. 20,000 mg
Correct Answer: B
Rationale: To convert grams to milligrams, you need to multiply by 1,000 since there are 1,000 milligrams in a gram. Therefore, 2 grams is equal to 2,000 milligrams. Choice A (200 mg) is incorrect as it represents 0.2 grams. Choice C (20 mg) is incorrect as it represents 0.02 grams. Choice D (20,000 mg) is incorrect as it represents 20 grams.
What is 0.5 liters expressed in milliliters?
- A. 50 ml
- B. 500 ml
- C. 5 ml
- D. 0.5 ml
Correct Answer: B
Rationale: To convert liters to milliliters, you multiply by 1000 since there are 1000 milliliters in a liter. Therefore, 0.5 liters x 1000 = 500 ml. Choice A (50 ml) is incorrect as it would be the conversion of 0.05 liters. Choice C (5 ml) is incorrect as it would be the conversion of 0.005 liters. Choice D (0.5 ml) is incorrect as it is the original measurement in milliliters, not the converted value from liters.
What is 0.2 rounded to the nearest tenth?
- A. 0.1
- B. 0.2
- C. 0.3
- D. 0.25
Correct Answer: B
Rationale: The decimal 0.2 is already at the nearest tenth, so it does not need to be rounded. Rounding to the nearest tenth means keeping one decimal place, which is already the case with 0.2. Therefore, the correct answer is 0.2, as it is already at the specified rounding point. Choices A, C, and D are incorrect because they represent values that are not the result of rounding 0.2 to the nearest tenth. 0.1 is rounding down, 0.3 is rounding up, and 0.25 is not the nearest tenth of 0.2.
What is 0.26 as a fraction in simplest form?
- A. 13/50
- B. 26/100
- C. 26/1000
- D. 1/4
Correct Answer: A
Rationale: To convert 0.26 to a fraction, we write it as 26/100. To simplify this fraction, we divide both the numerator and the denominator by their greatest common divisor, which is 2 in this case. Dividing 26 and 100 by 2 results in 13/50. Therefore, 0.26 as a fraction in simplest form is 13/50. Choice B (26/100) is the original form of the decimal, not simplified. Choice C (26/1000) is incorrect as it doesn't match the decimal representation. Choice D (1/4) is not the equivalent fraction for 0.26.