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What is the metric prefix for 10^-12 and how does it relate to meters?
- A. pico- (p) = 10^-12 meters
- B. nano- (n) = 10^-12 meters
- C. femto- (f) = 10^-12 meters
- D. pico- (p) = 10^-15 meters
Correct Answer: C
Rationale: The prefix 'femto-' stands for 10^-15, making femtometer equal to 10^-15 meters. The incorrect choices are A and B because 'pico-' represents 10^-12 (picometer) and 'nano-' represents 10^-9 (nanometer), respectively. Choice D is also incorrect as 'pico-' is associated with 10^-12, not 10^-15.
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How many milliliters are in 0.5 liters?
- A. 50 mL
- B. 500 mL
- C. 5,000 mL
- D. 5 mL
Correct Answer: B
Rationale: To convert liters to milliliters, you need to multiply by 1000 since there are 1000 milliliters in 1 liter. Therefore, 0.5 liters x 1000 = 500 milliliters, making choice B the correct answer. Choices A, C, and D are incorrect because they do not correctly convert liters to milliliters.
What is equivalent to 1 L?
- A. 1 kilogram
- B. 1 quart
- C. 1 milliliter
- D. 1000 milliliters
Correct Answer: D
Rationale: 1 liter is equivalent to 1000 milliliters. This conversion is based on the fact that 1 liter equals 1000 milliliters, a standard metric relationship. Choice A is incorrect because a kilogram is a unit of mass, not volume. Choice B, 1 quart, is a non-metric unit of volume and is not equivalent to 1 liter. Choice C, 1 milliliter, is too small to be equivalent to 1 liter; it takes 1000 milliliters to make up 1 liter.
How many centimeters are in one millimeter?
- A. 1/100 cm
- B. 0.1 cm
- C. 1 cm
- D. 10 cm
Correct Answer: B
Rationale: The correct answer is B: 0.1 cm. One millimeter is equal to 0.1 centimeters, not 1/100th cm as mentioned in choice A. Choice C, 1 cm, is incorrect as a millimeter is smaller than a centimeter. Choice D, 10 cm, is incorrect as it incorrectly magnifies the conversion, making a millimeter larger than a centimeter. Therefore, the accurate conversion is that one millimeter equals 0.1 centimeters.
Convert 5,000 milligrams to grams.
- A. 50 grams
- B. 5 grams
- C. 500 grams
- D. 0.05 grams
Correct Answer: B
Rationale: To convert milligrams to grams, you need to divide by 1,000 since there are 1,000 milligrams in 1 gram. Therefore, 5,000 milligrams is equal to 5 grams (5,000 · 1,000 = 5). Choice A, '50 grams,' is incorrect as it results from multiplying instead of dividing. Choice C, '500 grams,' is incorrect as it incorrectly multiplies the value. Choice D, '0.05 grams,' is incorrect as it is the result of dividing by 10 instead of 1,000.
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.