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.

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: The correct answer is C: 10^12. Tera represents a numerical value of 10^12, which is equivalent to one trillion. It is commonly used in computing and other fields to denote large-scale measurements. Choice A, 10^6, is incorrect as it corresponds to the metric prefix 'Mega.' Choice B, 10^9, is incorrect and corresponds to the metric prefix 'Giga.' Choice D, 10^3, is incorrect and corresponds to the metric prefix 'Kilo.' Therefore, the correct interpretation of the metric prefix Tera is 10^12.

Correct Answer: A

Rationale: To convert liters to milliliters, you need to multiply by 1000 since 1 liter equals 1000 milliliters. Therefore, 0.45 liters is equivalent to 450 milliliters. Choice B, 45 ml, is incorrect as it represents the conversion of 0.045 liters to milliliters. Choice C, 4.5 ml, is incorrect as it represents the conversion of 0.0045 liters to milliliters. Choice D, 0.45 ml, is incorrect as it is the initial quantity in milliliters and not the result of the conversion.

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.