In the metric system, what factor does the prefix kilo- represent?

Correct Answer: A

Rationale: The prefix 'kilo-' in the metric system signifies a factor of 1000, which is equivalent to 10^3. Therefore, when using the prefix 'kilo-', it implies multiplying the base unit by 1000. For instance, one kilometer is equal to 1000 meters. Choices B, C, and D are incorrect as they do not accurately represent the factor associated with the prefix 'kilo-'.

Correct Answer: B

Rationale: The correct answer is B: 2 pints. There are 2 pints in one quart. A quart is equivalent to 2 pints, so each quart contains 2 pints. Choice A, 1 pint, is incorrect because a quart consists of more than 1 pint. Choice C, 3 pints, and Choice D, 4 pints, are also incorrect as they do not accurately represent the conversion of quarts to pints.

Correct Answer: B

Rationale: To convert millimeters to meters, you need to divide by 1,000 since there are 1,000 millimeters in a meter. Therefore, 354,000 mm · 1,000 = 354 meters. Choice A, '354 m,' is correct as it represents the converted value. Choice C, '354,000 km,' is incorrect as it suggests converting to kilometers instead of meters. Choice D, '35,400 m,' is incorrect as it is not the result of the correct conversion calculation.

Correct Answer: B

Rationale: To convert 0.004 to a ratio, first express it as a fraction by writing it as 4/1000. Simplifying this fraction gives 1/250. Therefore, 0.004 as a ratio is 1:250. Choice A (5:10) simplifies to 1:2, not equivalent to 0.004. Choice C (7:28) does not simplify to a value close to 0.004. Choice D (4:00) is not a valid ratio representation of 0.004.

Correct Answer: A

Rationale: Density is measured in grams per cubic meter (g/m³) in the metric system. This unit represents the amount of mass (in grams) per unit volume (cubic meter). Choice B, grams per liter (g/L), is incorrect as density is not typically measured in liters. Choice C, grams per cubic centimeter (g/cm³), is a common unit for density but not the standard SI unit. Choice D, grams per square meter (g/m²), is a unit for surface density, not volumetric density. Therefore, the correct unit for measuring density in the metric system is grams per cubic meter (g/m³).

Correct Answer: C

Rationale: To convert 0.02 to a ratio, you need to express it as a fraction. 0.02 is equivalent to 2/100. Simplifying this fraction gives you 1/50. So, the correct ratio for 0.02 is 1:50. Choice A is correct because it accurately represents the ratio of 0.02. Choices B, C, and D are incorrect: B is not the simplified form of 0.02, C simplifies to 1:50, not 2:40, and D is not the correct simplified ratio for 0.02.

Correct Answer: B

Rationale: To convert kilograms to grams, you need to multiply by 1000 since there are 1000 grams in 1 kilogram. Therefore, 0.5 kilograms is equal to 500 grams (0.5 x 1000 = 500). Choice A (50 grams) is incorrect as it is the result of multiplying by 10 instead of 1000. Choice C (5,000 grams) is incorrect as it is the result of adding an extra zero. Choice D (0.5 grams) is incorrect as it represents the original amount in grams, not the converted amount.

Correct Answer: B

Rationale: The metric system is based on powers of 10. This means that units within the system are related by factors of 10, making conversions straightforward by simply shifting the decimal point. The system's simplicity and consistency are derived from this fundamental concept. Choices A, C, and D are incorrect because the metric system's foundation lies in the consistent relationship between units through powers of 10, not through basic arithmetic operations like multiplication, addition, or subtraction.

Correct Answer: A

Rationale: To convert liters to milliliters, you need to multiply by 1000 since 1 liter is equal to 1000 milliliters. Therefore, 0.5 liters multiplied by 1000 equals 500 milliliters. Choice A, 500 mL, is the correct answer. Choice B, 50 mL, is incorrect as it represents converting 0.05 liters to milliliters. Choice C, 5 mL, is incorrect as it represents converting 0.005 liters to milliliters. Choice D, 0.5 mL, is incorrect as it represents the original amount in milliliters, not the conversion of liters to milliliters.