Convert 0.875 to a fraction,
- A. 7\8
- B. 8\7
- C. 3\4
- D. 9\10
Correct Answer: A
Rationale: To convert 0.875 to a fraction, express it as 875\10000. Simplifying this fraction by dividing both the numerator and denominator by 125 results in 7\80.
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What does the prefix 'milli' mean?
- A. 0.01
- B. 0.001
- C. 0.0001
- D. 0.00001
Correct Answer: B
Rationale: The prefix 'milli' means one-thousandth, which is equivalent to 0.001 of the base unit. For instance, 1 millimeter is equal to 0.001 meters. Choice A (0.01) is incorrect as it represents one-hundredth, not one-thousandth. Choice C (0.0001) is incorrect as it signifies ten-thousandth, not one-thousandth. Choice D (0.00001) is incorrect as it stands for one-hundred-thousandth, not one-thousandth.
Which of the following is equal to 0.16 inches?
- A. 0.016 inches
- B. 0.16 inches
- C. 1.6 inches
- D. 16 inches
Correct Answer: B
Rationale: The correct answer is B: 0.16 inches. This value is already in its simplest form and represents sixteen one-hundredths of an inch. Choice A, 0.016 inches, is incorrect as it represents sixteen thousandths of an inch, not the given value. Choice C, 1.6 inches, is incorrect as it represents one and six-tenths inches, which is larger than the given value. Choice D, 16 inches, is incorrect as it represents sixteen inches, which is significantly larger than the given value of 0.16 inches.
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.
What is 0.04 g in mg?
- A. 40 mg
- B. 400 mg
- C. 4 mg
- D. 0.4 mg
Correct Answer: A
Rationale: To convert grams to milligrams, you multiply by 1000 since there are 1000 milligrams in a gram. Therefore, to convert 0.04 grams to milligrams, you would do 0.04 * 1000 = 40 mg. Choice A, '40 mg,' is the correct answer. Choices B, C, and D are incorrect because they do not correctly convert grams to milligrams. Choice B, '400 mg,' is incorrect because it mistakenly multiplies by 10 instead of 1000. Choice C, '4 mg,' is incorrect because it does not account for the correct conversion factor. Choice D, '0.4 mg,' is incorrect because it underestimates the conversion by a factor of 10.
What is 0.4 divided by 40?
- A. 1/100
- B. 1/1000
- C. 1/400
- D. 1/40000
Correct Answer: B
Rationale: The calculation of 0.4 divided by 40 results in 0.01, which can be expressed as 1/100. This fraction is the correct representation of the division of 0.4 by 40. Choice A, 1/100, is the correct answer as it accurately reflects the division. Choices C and D, 1/400 and 1/40000 respectively, do not correctly represent the division operation performed on 0.4 and 40, leading to incorrect results and are therefore not the correct answers.
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