How many pounds are in 1 ton?
- A. 1000 pounds
- B. 2000 pounds
- C. 1500 pounds
- D. 2500 pounds
Correct Answer: B
Rationale: The correct answer is B: 2000 pounds. A ton is equivalent to 2000 pounds. This is a standard conversion in the imperial system of measurement. Choice A, 1000 pounds, is incorrect as it represents half a ton. Choice C, 1500 pounds, and Choice D, 2500 pounds, are also incorrect as they do not match the correct conversion of 1 ton to 2000 pounds.
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The SI prefixes micro and milli represent, respectively:
- A. 10^-6 and 10^-3
- B. 10^-9 and 10^-6
- C. 10^-12 and 10^-9
- D. 10^-15 and 10^-12
Correct Answer: A
Rationale: The prefixes 'micro-' and 'milli-' represent 10^-6 and 10^-3, respectively. 'Micro-' denotes one-millionth (10^-6), while 'milli-' denotes one-thousandth (10^-3). Choice B is incorrect because it confuses the order of magnitudes for micro and milli. Choice C and D are also incorrect as they provide the wrong values for the prefixes micro and milli.
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.
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.
Convert 0.075 mg to micrograms.
- A. 75 mcg
- B. 7.5 mcg
- C. 0.75 mcg
- D. 750 mcg
Correct Answer: D
Rationale: To convert milligrams to micrograms, you need to multiply by 1000, not 10000. Therefore, to convert 0.075 mg to mcg, you multiply 0.075 by 1000, giving you 75 mcg. The correct answer is not provided in the choices, and the correct conversion is 75 mcg, which is not listed as an option. Choices A, B, and C are incorrect because they do not reflect the correct conversion factor. Choice D, 750 mcg, is a common mistake made by incorrectly adding a zero. It is important to remember that the conversion from milligrams to micrograms involves multiplying by 1000, not adding extra zeros.
How many micrograms (mcg) are equivalent to 0.5 milligrams (mg)?
- A. 500 mcg
- B. 50 mcg
- C. 5 mcg
- D. 0.5 mcg
Correct Answer: A
Rationale: To convert milligrams to micrograms, you need to multiply by 1000 because there are 1000 micrograms in 1 milligram. Therefore, 0.5 mg x 1000 = 500 mcg. This conversion is crucial in medication dosage calculations to ensure precise administration. Choice B, 50 mcg, is incorrect as it represents 0.05 mg. Choice C, 5 mcg, is incorrect as it corresponds to 0.005 mg. Choice D, 0.5 mcg, is incorrect because it is the same value as the initial amount in milligrams, rather than the converted value to micrograms.