What is 0.5 multiplied by 20?
- A. 10
- B. 15
- C. 20
- D. 25
Correct Answer: A
Rationale: To find the product of 0.5 and 20, you multiply them together. 0.5 x 20 = 10. This calculation involves multiplying a decimal (0.5) by a whole number (20). Choice A, '10', is the correct answer. Choice B, '15', is incorrect as it does not accurately represent the result of multiplying 0.5 by 20. Choices C and D, '20' and '25', are also incorrect as they do not reflect the correct calculation. This question assesses your ability to perform basic arithmetic operations involving decimals and whole numbers.
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How many micrograms are in 1 milligram?
- A. 1 µg
- B. 10 µg
- C. 100 µg
- D. 1,000 µg
Correct Answer: D
Rationale: The correct answer is D: 1,000 µg. To convert milligrams to micrograms, you need to multiply by 1,000 because there are 1,000 micrograms in 1 milligram. Choices A, B, and C are incorrect because they do not correctly convert milligrams to micrograms. 1 milligram is equal to 1,000 micrograms, making choice D the right answer.
Convert 34.5 grams to kilograms (kg).
- A. 3.45 kg
- B. 34.5 kg
- C. 345 kg
- D. 3.45 grams
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.
What is 0.875 as a fraction?
- A. 7/8
- B. 9/10
- C. 5/6
- D. 3/4
Correct Answer: A
Rationale: To convert 0.875 to a fraction, you can write it as 875/1000. Simplifying this fraction by dividing the numerator and denominator by their greatest common divisor, which is 125, gives you 7/8. Therefore, the correct answer is 7/8. Choice B (9/10), Choice C (5/6), and Choice D (3/4) are incorrect as they do not represent the fraction equivalent of 0.875.
The prefix giga is represented by the following notation ________.
- A. G
- B. m
- C. Gg
- D. g
Correct Answer: A
Rationale: The correct answer is A: 'G'. The prefix 'giga' is commonly represented by the letter 'G' and corresponds to a factor of 10^9, which is equivalent to one billion. Choice B, 'm', represents the prefix 'milli', which corresponds to a factor of 10^-3, not 'giga'. Choice C, 'Gg', is incorrect as the prefix 'giga' is represented by a single letter 'G', not 'Gg'. Choice D, 'g', is incorrect as it represents the prefix 'gram' in the International System of Units (SI) and not the prefix 'giga'.
What is the equivalent of 1 nanometer (nm) in meters (m)?
- A. 10^-9 meters
- B. 10^-6 meters
- C. 10^-12 meters
- D. 10^-15 meters
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.