Nokea
10^6 m can be expressed as ____.
- A. 1 kilometer
- B. 1 megameter
- C. 1 gigameter
- D. 1 terameter
Correct Answer: A
Rationale: The correct answer is A: 1 kilometer. 10^6 meters is equivalent to 1 kilometer, not 1 megameter. The prefix 'kilo-' represents a factor of 10^3 or one thousand, which is the appropriate conversion in this case. Choice B, 1 megameter, would be 10^6 meters squared. Choices C and D, 1 gigameter and 1 terameter, would represent even larger distances, as 'giga-' represents 10^9 and 'tera-' represents 10^12.
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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 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.
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.
What is 0.75 as a fraction?
- A. 3/4
- B. 7/10
- C. 15/20
- D. 1/2
Correct Answer: A
Rationale: To convert a decimal to a fraction, you can write the decimal as a fraction with the decimal part as the numerator and a power of 10 as the denominator. In this case, 0.75 can be written as 75/100. Simplifying this fraction by dividing both the numerator and denominator by 25 gives you 3/4. Therefore, the correct answer is A. Choice B (7/10), Choice C (15/20), and Choice D (1/2) are incorrect because they do not represent the correct conversion of 0.75 into a fraction.
What is the metric equivalent of 1 inch?
- A. 1.54 cm
- B. 2.54 cm
- C. 3.54 cm
- D. 4.54 cm
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.