What is 0.5 liters in milliliters?
- A. 50 ml
- B. 500 ml
- C. 5 ml
- D. 0.5 ml
Correct Answer: B
Rationale: 0.5 liters is equivalent to 500 milliliters. To convert liters to milliliters, you multiply by 1000 since 1 liter equals 1000 milliliters. Therefore, the correct answer is 500 ml (0.5 * 1000 = 500). Choices A, C, and D are incorrect because they do not correctly convert 0.5 liters to milliliters.
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In the metric system, what factor does the prefix kilo- represent?
- A. 10^3
- B. 10^2
- C. 10^4
- D. 10^6
Correct Answer: A
Rationale: The prefix 'kilo-' in the metric system signifies a factor of 1000, which is equivalent to 10^3. Therefore, when using the prefix 'kilo-', it implies multiplying the base unit by 1000. For instance, one kilometer is equal to 1000 meters. Choices B, C, and D are incorrect as they do not accurately represent the factor associated with the prefix 'kilo-'.
Convert 354,000 millimeters to meters (m).
- A. 354 m
- B. 354 m
- C. 354,000 km
- D. 35,400 m
Correct Answer: B
Rationale: To convert millimeters to meters, you need to divide by 1,000 since there are 1,000 millimeters in a meter. Therefore, 354,000 mm · 1,000 = 354 meters. Choice A, '354 m,' is correct as it represents the converted value. Choice C, '354,000 km,' is incorrect as it suggests converting to kilometers instead of meters. Choice D, '35,400 m,' is incorrect as it is not the result of the correct conversion calculation.
What is the result of multiplying 0.15 by 3?
- A. 0.05
- B. 0.15
- C. 0.45
- D. 0.45
Correct Answer: C
Rationale: The correct answer is C: 0.45. To find the result of multiplying 0.15 by 3, you simply multiply the two numbers together, which gives you 0.45. Choice A (0.05) is incorrect as it is the result of dividing 0.15 by 3 instead of multiplying. Choice B (0.15) is the original number being multiplied and not the result. Choice D (0.45) is the same as the correct answer but is repeated for redundancy.
Which metric prefix represents 10^-2?
- A. centi
- B. milli
- C. nano
- D. deci
Correct Answer: A
Rationale: The metric prefix 'centi-' signifies 10^-2, denoting one-hundredth of a unit. For instance, 1 centimeter equals 0.01 of the base unit. Choice B, 'milli,' represents 10^-3, 'nano' in Choice C represents 10^-9, and 'deci' in Choice D stands for 10^-1. Therefore, the correct answer is 'centi.'
Which conversion is accurate?
- A. 1 inch = 2.5 cm
- B. 1 meter = 39.37 inches
- C. 1 liter = 1.057 quarts
- D. 1 gram = 100 milligrams
Correct Answer: C
Rationale: The correct answer is C: '1 liter = 1.057 quarts.' This conversion is accurate as it reflects the precise relationship between liters and quarts, where 1 liter is slightly more than a quart. Choice A is incorrect because 1 inch is approximately equal to 2.54 cm, not 2.5 cm. Choice B is incorrect as 1 meter is equivalent to approximately 39.37 inches, not exactly. Choice D is also inaccurate as 1 gram is equal to 1000 milligrams, not 100 milligrams.
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