What is 0.03 as a fraction?

Correct Answer: A

Rationale: To convert a decimal to a fraction, you place the decimal value over a power of 10, where the number of zeros in the denominator is equal to the number of decimal places in the decimal. In this case, 0.03 can be written as 3/100 because there are two decimal places (hundredths). This fraction is already in simplest form. Choice B, 1/30, is incorrect as it represents 0.033 as a fraction. Choice C, 1/3, is incorrect as it represents 0.3 as a fraction. Choice D, 1/10, is incorrect as it represents 0.1 as a fraction.

Correct Answer: B

Rationale: To convert kiloliters to liters, you multiply by 1,000. Therefore, 1 kiloliter 1,000 = 1,000 liters. Choice A (100 liters) is incorrect because it represents only 1/10th of a kiloliter. Choice C (10 liters) is incorrect as it represents only 1/100th of a kiloliter. Choice D (10,000 liters) is incorrect as it is 10 times bigger than a kiloliter.

Correct Answer: C

Rationale: To convert quarts to ounces, you need to know that 1 quart is equal to 32 ounces. Therefore, 2 quarts would be 2 x 32 = 64 ounces. The correct answer is not 16 ounces as stated in the original rationale. The correct answer is 64 ounces, which corresponds to 2 quarts. As a result, 'C: 16 ounces' is incorrect. Options A, B, and D are also incorrect as they do not reflect the accurate conversion from quarts to ounces.

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.

Correct Answer: B

Rationale: To convert liters to milliliters, you need to multiply by 1,000 because there are 1,000 milliliters in 1 liter. Therefore, 3,540 liters 1,000 = 3,540,000 milliliters. Choices A, C, and D are incorrect because they do not correctly convert liters to milliliters. A, C, and D are off by a factor of 1,000, as they do not account for the conversion factor between liters and milliliters.

Correct Answer: A

Rationale: 0.05 mg is equivalent to 50 mcg because 1 mg is equal to 1000 mcg. To convert milligrams to micrograms, you need to multiply by 1000. Therefore, 0.05 mg x 1000 = 50 mcg. Choices B, C, and D are incorrect because they do not correctly convert milligrams to micrograms. Option B (500 mcg) would be the result if the conversion was done incorrectly by adding an extra zero, while options C (5 mcg) and D (0.5 mcg) are incorrect due to miscalculating the conversion factor.

Correct Answer: B

Rationale: The correct answer is B: 2 liters. To convert milliliters to liters, you need to divide by 1000 since there are 1000 milliliters in a liter. Therefore, 2,000 milliliters is equal to 2 liters (2000 · 1000 = 2). Choices A, C, and D are incorrect because they incorrectly convert milliliters to liters, resulting in values that are too low (A and C) or too high (D).

Correct Answer: D

Rationale: The correct answer is D: 1,000 mg. This is because 1 gram is equivalent to 1,000 milligrams. To convert grams to milligrams, you multiply by 1,000. Choices A, B, and C are incorrect. Choice A (1 mg) is the smallest unit, and it would take 1,000 of these to make 1 gram. Choice B (10 mg) is also too small, as it would require 100 of these to equal 1 gram. Choice C (100 mg) is closer, but it still falls short of the correct conversion, which is 1,000 mg in 1 gram.

Correct Answer: D

Rationale: The correct answer is D: Exact Equivalent. The expression 1 inch = 2.54 cm is a direct and precise conversion between inches and centimeters, making it an exact equivalent. It is not related to the Law of Conservation of Units (A) as this principle pertains to the conservation of physical quantities in a system. The International Yard (B) is a unit of measurement, but it is not the term for the given expression. Similarly, while the conversion factor in the expression is standard, it is specifically an exact equivalent and not just a general standard conversion factor (C). Therefore, D is the most appropriate term to describe this specific conversion relationship.