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.
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What is the correct conversion of 35,400 milligrams to grams (g)?
- A. 35.4 g
- B. 35.4 g
- C. 354 g
- D. 354,000 g
Correct Answer: B
Rationale: To convert milligrams to grams, you need to divide by 1,000 because there are 1,000 milligrams in a gram. Therefore, 35,400 mg · 1,000 = 35.4 grams. Choice A is incorrect because it does not account for the conversion from milligrams to grams. Choice C is incorrect as it incorrectly drops a zero, leading to an inaccurate conversion. Choice D is incorrect as it incorrectly multiplies instead of dividing, resulting in a significantly larger value than the correct answer.
How many ounces are in one pint?
- A. 12 ounces
- B. 16 ounces
- C. 8 ounces
- D. 20 ounces
Correct Answer: B
Rationale: The correct answer is B: 16 ounces. One pint is equivalent to 16 ounces. This is a common conversion in cooking and baking measurements. Choice A (12 ounces) is incorrect because it does not represent the correct conversion of pints to ounces. Choice C (8 ounces) is incorrect as it is not the correct equivalent for a pint. Choice D (20 ounces) is incorrect as it overestimates the number of ounces in a pint. Understanding these conversions is essential when following recipes or working with liquid measurements in various contexts.
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.
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.
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.