What is 0.4 expressed in inches?

Correct Answer: C

Rationale: To express 0.4 in inches, you don't need to convert it further as it is already in inches. Therefore, the correct answer is 0.4 inches. Choice A (0.04 inches) is incorrect as it represents a smaller quantity. Choice B (4 inches) and Choice D (40 inches) are incorrect as they represent larger quantities, which are not equivalent to 0.4 inches.

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: To convert liters to milliliters, you need to multiply the number of liters by 1000 because there are 1000 milliliters in 1 liter. Therefore, 0.5 liters converts to 500 milliliters. Choice A (50 ml) is incorrect as it is the result of multiplying by 10 instead of 1000. Choice C (5 ml) is incorrect as it is the result of dividing by 10 instead of multiplying by 1000. Choice D (0.5 ml) is incorrect as it represents the original quantity in milliliters, not the conversion from liters.

Correct Answer: A

Rationale: To convert 0.3 to a fraction, we take 0.3 and express it as 3/10. This fraction is already in its simplest form because 3 and 10 do not have any common factors other than 1. Choice B, 1/3, is incorrect as it represents a different value. Choice C, 1/4, and Choice D, 1/5, are also incorrect as they do not match the equivalent fraction for 0.3.

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.