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.
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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.
How many grams are in 5 kilograms?
- A. 50 grams
- B. 500 grams
- C. 5000 grams
- D. 5 grams
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.
Which instrument is used to measure the mass of an object?
- A. thermometer
- B. balance scale
- C. scale
- D. caliper
Correct Answer: B
Rationale: A balance scale is specifically designed to measure the mass of an object in grams or kilograms. It works based on the principle of balancing the unknown mass against a known mass. A thermometer is used to measure temperature, not mass, so choice A is incorrect. Choice C, 'scale,' is a bit vague and can refer to different types of scales, but a balance scale is the specific instrument used for measuring mass. Choice D, 'caliper,' is used for measuring dimensions such as length, width, or thickness, not mass.
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.
Convert 0.75 kilograms to grams.
- A. 75 grams
- B. 750 grams
- C. 7,500 grams
- D. 75,000 grams
Correct Answer: B
Rationale: To convert kilograms to grams, you need to multiply by 1000 since there are 1000 grams in a kilogram. Therefore, 0.75 kilograms is equal to 0.75 x 1000 = 750 grams. Choices A, C, and D are incorrect as they incorrectly place the decimal point and do not reflect the correct conversion from kilograms to grams.
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