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: C

Rationale: To convert liters to milliliters, you need to multiply by 1000 since there are 1000 milliliters in 1 liter. Therefore, 3.75 liters x 1000 = 3750 milliliters. This means that option C, 3750 ml, is the correct conversion. Choices A, B, and D are incorrect because they do not reflect the correct conversion from liters to milliliters.

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.

Correct Answer: A

Rationale: To convert centimeters to millimeters, you need to multiply by 10 since 1 centimeter equals 10 millimeters. Therefore, 0.5 centimeters is equal to 5 millimeters (0.5 * 10 = 5). Choice A, '5 mm,' is the correct answer. Choice B, '0.5 mm,' is incorrect as it would be equivalent to half a millimeter. Choice C, '50 mm,' is incorrect as it represents 50 millimeters, which would be the equivalent of 5 centimeters. Choice D, '0.05 mm,' is incorrect as it represents 0.05 millimeters, which is a fraction of 1 millimeter.

Correct Answer: C

Rationale: To convert liters to milliliters, you need to multiply the number of liters by 1,000 because there are 1,000 milliliters in a liter. Therefore, 0.1 liter is equal to 100 milliliters. Choice A (1 ml) is incorrect because it represents the conversion of 0.01 liters, not 0.1 liters. Choice B (10 ml) is incorrect as it also represents the conversion of 0.01 liters. Choice D (1000 ml) is incorrect as it represents the conversion of 1 liter, not 0.1 liter.