What is the equivalent of 1 nanometer (nm) in meters (m)?

Correct Answer: A

Rationale: The correct answer is A: 10^-9 meters. 1 nanometer (nm) is equivalent to 10^-9 meters. This conversion is commonly used in various scientific fields, including nanotechnology, to represent extremely small lengths. Choice B, 10^-6 meters, is incorrect as it represents a micrometer, not a nanometer. Choice C, 10^-12 meters, is incorrect as it would be a picometer, which is smaller than a nanometer. Choice D, 10^-15 meters, is incorrect as it would be a femtometer, much smaller than a nanometer.

Correct Answer: D

Rationale: To convert milligrams to micrograms, you need to multiply by 1000 since there are 1000 micrograms in a milligram. Therefore, to convert 0.075 mg to mcg, you would multiply 0.075 by 1000, which equals 75. Thus, the correct conversion is 750 mcg. Choice A, 75 mcg, is incorrect as it's the result if you mistakenly multiply by 10 instead of 1000. Choice B, 7.5 mcg, is incorrect as it's the result if you divide by 10 instead of multiplying by 1000. Choice C, 0.75 mcg, is incorrect as it's the result if you divide by 100 instead of multiplying by 1000.

Correct Answer: C

Rationale: To convert centimeters to millimeters, you need to multiply by 10 since there are 10 millimeters in a centimeter. Therefore, 0.75 centimeters equals 0.75 x 10 = 7.5 millimeters, not 75 millimeters (Choice C). Choice A (7.5 mm) is the correct conversion, while Choice B (0.75 mm) and Choice D (75 cm) are incorrect conversions.

Correct Answer: B

Rationale: To convert milliliters to liters, you need to divide by 1000 since there are 1000 milliliters in a liter. Therefore, 250 milliliters is equal to 250/1000 = 0.25 liters. Choice A, 25 liters, is incorrect as it is a magnitude higher than the correct answer. Choice C, 2.5 liters, is also incorrect as it is 10 times greater than the correct conversion. Choice D, 0.025 liters, is incorrect as it is a magnitude lower than the correct conversion.

Correct Answer: A

Rationale: To convert grams to kilograms, divide by 1,000 since there are 1,000 grams in a kilogram. Therefore, 34.5 grams · 1,000 = 0.0345 kilograms. The correct answer is 3.45 kg (not 3.45 grams, which is the amount given in the initial question). Choices B and C are incorrect as they do not involve the conversion from grams to kilograms. Choice D is also incorrect as it presents the value in grams instead of kilograms.

Correct Answer: C

Rationale: To convert kilograms to grams, you need to multiply by 1000 because there are 1000 grams in a kilogram. Therefore, 5 kilograms x 1000 grams/kilogram = 5000 grams. Choices A, B, and D are incorrect because they do not correctly convert kilograms to grams.

Correct Answer: A

Rationale: 'kg' stands for kilogram, the unit of mass equal to 1,000 grams. In the metric system, 'kg' specifically represents the unit of mass, making 'kilogram' the correct choice. The other choices, 'keg,' 'kroner,' and 'kraken,' do not represent the standard unit of mass in the metric system and are therefore incorrect.

Correct Answer: B

Rationale: The correct answer is B: 2.54 cm. One inch is equivalent to 2.54 centimeters in the metric system. This conversion factor is commonly used in converting measurements between the imperial and metric systems. Choice A (1.54 cm), Choice C (3.54 cm), and Choice D (4.54 cm) are incorrect conversions and do not represent the accurate metric equivalent of 1 inch.

Correct Answer: C

Rationale: The correct answer is C: 0.13 inches. When converting decimals to inches, the value remains the same. Choice A, 0.013 inches, represents a smaller value than 0.13 inches as it has an extra zero. Choice B, 1.3 inches, is incorrect as it is a larger value than 0.13 inches. Choice D, 13 inches, is significantly larger than 0.13 inches, making it an incorrect conversion.