What is the equivalent of 35.4 centimeters in kilometers (km)?
- A. 0.00354 km
- B. 0.000354 km
- C. 0.00345 km
- D. 0.0345 km
Correct Answer: B
Rationale: To convert centimeters to kilometers, you need to divide by 100,000 since there are 100,000 centimeters in a kilometer. Therefore, 35.4 cm · 100,000 = 0.000354 km. Choice A (0.00354 km) is incorrect as it represents dividing by 10,000, not 100,000. Choice C (0.00345 km) is incorrect as the last digit is different from the correct answer. Choice D (0.0345 km) is incorrect as it represents dividing by 1,000, not by 100,000.
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How many liters are in 2,000 milliliters?
- A. 0.2 liters
- B. 2 liters
- C. 0.02 liters
- D. 20 liters
Correct Answer: B
Rationale: The correct answer is B: 2 liters. To convert milliliters to liters, you need to divide by 1000 since there are 1000 milliliters in a liter. Therefore, 2,000 milliliters is equal to 2 liters (2000 · 1000 = 2). Choices A, C, and D are incorrect because they incorrectly convert milliliters to liters, resulting in values that are too low (A and C) or too high (D).
What is 0.3 as a fraction in simplest form?
- A. 3/10
- B. 1/3
- C. 1/4
- D. 1/5
Correct Answer: A
Rationale: To convert 0.3 to a fraction, we take 0.3 and express it as 3/10. This fraction is already in its simplest form because 3 and 10 do not have any common factors other than 1. Choice B, 1/3, is incorrect as it represents a different value. Choice C, 1/4, and Choice D, 1/5, are also incorrect as they do not match the equivalent fraction for 0.3.
What is 0.16 as a fraction?
- A. 16\100
- B. 16\1000
- C. 4\25
- D. 4\50
Correct Answer: C
Rationale: To convert 0.16 into a fraction, you write it as 16\100, which simplifies to 4\25. This fraction is in its simplest form and accurately represents the original decimal value without further reduction. Choice A (16\1000) is incorrect because the fraction is not simplified, and Choice D (4\50) is incorrect as it simplifies to 2\25, not representing the original decimal value. Therefore, Choice C is the correct answer.
What is 0.4 expressed in inches?
- A. 0.04 inches
- B. 4 inches
- C. 0.4 inches
- D. 40 inches
Correct Answer: C
Rationale: To express 0.4 in inches, you don't need to convert it further as it is already in inches. Therefore, the correct answer is 0.4 inches. Choice A (0.04 inches) is incorrect as it represents a smaller quantity. Choice B (4 inches) and Choice D (40 inches) are incorrect as they represent larger quantities, which are not equivalent to 0.4 inches.
How many milligrams are in 1 gram?
- A. 1 mg
- B. 10 mg
- C. 100 mg
- D. 1,000 mg
Correct Answer: D
Rationale: The correct answer is D: 1,000 mg. This is because 1 gram is equivalent to 1,000 milligrams. To convert grams to milligrams, you multiply by 1,000. Choices A, B, and C are incorrect. Choice A (1 mg) is the smallest unit, and it would take 1,000 of these to make 1 gram. Choice B (10 mg) is also too small, as it would require 100 of these to equal 1 gram. Choice C (100 mg) is closer, but it still falls short of the correct conversion, which is 1,000 mg in 1 gram.