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What is the equivalent of 35.4 centimeters in kilometers (km)?
- A. 0.00354 km
- B. 0.000354 km
- C. 0.00345 km
- D. 0.0345 km
Correct Answer: B
Rationale: To convert centimeters to kilometers, you need to divide by 100,000 since there are 100,000 centimeters in a kilometer. Therefore, 35.4 cm · 100,000 = 0.000354 km. Choice A (0.00354 km) is incorrect as it represents dividing by 10,000, not 100,000. Choice C (0.00345 km) is incorrect as the last digit is different from the correct answer. Choice D (0.0345 km) is incorrect as it represents dividing by 1,000, not by 100,000.
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How many grams are in 2 kilograms?
- A. 200 grams
- B. 2000 grams
- C. 20 grams
- D. 2 grams
Correct Answer: B
Rationale: To convert kilograms to grams, you need to multiply by 1000 since there are 1000 grams in a kilogram. Therefore, 2 kilograms is equal to 2 x 1000 = 2000 grams. Choice A (200 grams) is incorrect as it represents the value of 0.2 kilograms. Choice C (20 grams) is incorrect as it represents the value of 0.02 kilograms. Choice D (2 grams) is incorrect as it represents the value of 0.002 kilograms.
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.
Convert 3,450 grams to milligrams (mg).
- A. 34,500 mg
- B. 3,450,000 mg
- C. 3,450 mg
- D. 3,450,000 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, 3,450 grams 1,000 = 3,450,000 milligrams. Choice A (34,500 mg) is incorrect because it represents the result for converting grams to milligrams by a factor of 10 (not 1,000). Choice C (3,450 mg) is incorrect as it represents the original amount in grams, not the converted amount to milligrams. Choice D (3,450,000 mg) is incorrect as it is the same as the correct answer but with the comma in the wrong place, which would imply converting kilograms to milligrams rather than grams to milligrams.
Convert 345 centimeters to kilometers (km).
- A. 0.00345 km
- B. 0.0345 km
- C. 0.345 km
- D. 34.5 km
Correct Answer: B
Rationale: To convert centimeters to kilometers, you need to divide by 100,000 since there are 100,000 centimeters in a kilometer. Therefore, 345 cm · 100,000 = 0.00345 km. The correct answer is 0.0345 km, which is obtained by accurately dividing 345 by 100,000. Choices A, C, and D are incorrect because they do not correctly apply the conversion factor and result in inaccurate values for kilometers.
How many milliliters are in 0.5 liters?
- A. 500 ml
- B. 50 ml
- C. 5 ml
- D. 0.5 ml
Correct Answer: A
Rationale: To convert from liters to milliliters, you need to multiply by 1000 since there are 1000 milliliters in a liter. Therefore, 0.5 liters x 1000 = 500 milliliters. This conversion is common in various contexts where different units of volume are used. Choices B, C, and D are incorrect as they do not reflect the correct conversion factor from liters to milliliters.