Convert 0.345 kilometers to meters (m).
- A. 3.45 m
- B. 345 m
- C. 345 cm
- D. 345 m
Correct Answer: B
Rationale: To convert kilometers to meters, you need to multiply by 1,000 since there are 1,000 meters in 1 kilometer. Therefore, 0.345 km 1,000 = 345 meters. Choice A (3.45 m) is incorrect because it is the result of a mathematical error; the decimal point was misplaced. Choice C (345 cm) is incorrect as it represents centimeters, not meters. Choice D (345 m) is a duplicate of the correct answer B.
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What is 0.125 as a fraction?
- A. 1/8
- B. 1/4
- C. 1/2
- D. 1/16
Correct Answer: A
Rationale: To convert 0.125 to a fraction, we write it as 125/1000. Simplifying by dividing both the numerator and denominator by 125 gives us 1/8. Therefore, choice A (1/8) is the correct answer. Choice B (1/4) is incorrect as it represents 0.25, not 0.125. Choice C (1/2) is incorrect as it represents 0.5, not 0.125. Choice D (1/16) is incorrect as it represents 0.0625, not 0.125.
What is the value of one femtometer (fm) in meters?
- A. 10^-15 meters
- B. 10^-9 meters
- C. 10^-12 meters
- D. 10^-18 meters
Correct Answer: A
Rationale: A femtometer is equivalent to 10^-15 meters. The prefix 'femto-' signifies a factor of one quadrillionth (10^-15), making choice A the correct answer. Choice B (10^-9 meters) represents a nanometer, not a femtometer. Choice C (10^-12 meters) corresponds to a picometer, not a femtometer. Choice D (10^-18 meters) is even smaller than a femtometer and refers to an attometer, not a femtometer.
Convert 0.07 to a fraction.
- A. 7/100
- B. 1/10
- C. 1/20
- D. 1/50
Correct Answer: A
Rationale: To convert 0.07 to a fraction, we note that 0.07 is equivalent to 7/100. This is because 0.07 can be read as 7 hundredths. Thus, the correct fraction form is 7/100. Choices B, C, and D are incorrect. Choice B, 1/10, is the fraction equivalent to 0.1, not 0.07. Choice C, 1/20, and Choice D, 1/50, are also incorrect as they do not represent the value of 0.07 when converted to a fraction.
What is 0.5 x 200?
- A. 100
- B. 50
- C. 150
- D. 200
Correct Answer: A
Rationale: To find the product of 0.5 and 200, you multiply the two numbers, which equals 100. The correct answer is A. Choice B, 50, is the result of multiplying 0.5 by 100 instead of 200. Choice C, 150, is the result of adding 0.5 and 200 instead of multiplying them. Choice D, 200, is the second number in the multiplication operation and not the correct product.
What does 'g' stand for in the metric system?
- A. gram
- B. grain
- C. goose
- D. grammage
Correct Answer: A
Rationale: In the metric system, 'g' stands for gram, which is the base unit for mass. Choice B, 'grain,' is a measurement unit in the imperial system and not the metric system. Choice C, 'goose,' is unrelated to the metric system. Choice D, 'grammage,' is a term used to describe the weight of paper or fabric, not a unit in the metric system.
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