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.
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What is it called when base units are combined, such as g/mL for density?
- A. combined units
- B. derived units
- C. base units
- D. calculated units
Correct Answer: B
Rationale: The correct answer is B: derived units. When base units (such as grams or milliliters) are combined, as seen in g/mL (grams per milliliter) for density, they form derived units. Derived units measure complex quantities that are derived from combinations of base units. Choice A, 'combined units,' is incorrect as it does not specifically refer to the formation of new units from base units. Choice C, 'base units,' is incorrect because base units are the fundamental units from which all other units are derived, not the combinations of units. Choice D, 'calculated units,' is incorrect as it does not accurately describe the concept of combining base units to form a new unit like g/mL for density.
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.
How many ounces are in one gallon?
- A. 64 ounces
- B. 128 ounces
- C. 100 ounces
- D. 150 ounces
Correct Answer: B
Rationale: The correct answer is B: 128 ounces. One gallon is equivalent to 128 ounces. This conversion relationship is commonly used in cooking, baking, and various liquid measurements. Choice A (64 ounces) is incorrect as it represents half the amount of a gallon. Choice C (100 ounces) and Choice D (150 ounces) are also incorrect, as they do not accurately reflect the conversion of a gallon to ounces.
What is 0.3 as a fraction in simplest form?
- A. 3/10
- B. 1/3
- C. 1/4
- D. 1/5
Correct Answer: A
Rationale: To convert 0.3 to a fraction, we take 0.3 and express it as 3/10. This fraction is already in its simplest form because 3 and 10 do not have any common factors other than 1. Choice B, 1/3, is incorrect as it represents a different value. Choice C, 1/4, and Choice D, 1/5, are also incorrect as they do not match the equivalent fraction for 0.3.
Convert 0.004 to a ratio.
- A. 1:250
- B. 4:200
- C. 2:400
- D. 9:200
Correct Answer: A
Rationale: To convert 0.004 to a ratio, we can express it as 4/1000, which simplifies to 1/250. Therefore, the correct ratio is 1:250. Choice B (4:200) is incorrect as it simplifies to 1:50, not 1:250. Choice C (2:400) simplifies to 1:200, which is also incorrect. Choice D (9:200) simplifies to a ratio greater than 1:1, which is not equivalent to 1:250.
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