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How many kilometers (km) is equivalent to 1,000 meters?
- A. 0.1 km
- B. 1 km
- C. 10 km
- D. 0.01 km
Correct Answer: B
Rationale: To convert meters to kilometers, the conversion factor is 1 kilometer = 1,000 meters. Therefore, to find how many kilometers are in 1,000 meters, you divide 1,000 by 1,000, which equals 1 kilometer. Choice A (0.1 km), Choice C (10 km), and Choice D (0.01 km) are incorrect because they do not correctly represent the conversion of 1,000 meters to kilometers.
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Convert 5,000 milligrams to grams.
- A. 50 grams
- B. 5 grams
- C. 500 grams
- D. 0.05 grams
Correct Answer: B
Rationale: To convert milligrams to grams, you need to divide by 1,000 since there are 1,000 milligrams in 1 gram. Therefore, 5,000 milligrams is equal to 5 grams (5,000 · 1,000 = 5). Choice A, '50 grams,' is incorrect as it results from multiplying instead of dividing. Choice C, '500 grams,' is incorrect as it incorrectly multiplies the value. Choice D, '0.05 grams,' is incorrect as it is the result of dividing by 10 instead of 1,000.
What is 0.1 liter converted to milliliters?
- A. 10 ml
- B. 100 ml
- C. 1000 ml
- D. 1 ml
Correct Answer: B
Rationale: To convert 0.1 liter to milliliters, you need to multiply by 1000 because there are 1000 milliliters in a liter. Therefore, 0.1 liter converts to 100 milliliters. Choice A (10 ml) is incorrect as it represents 0.01 liters, not 0.1 liters. Choice C (1000 ml) is incorrect as it represents 1 liter, not 0.1 liters. Choice D (1 ml) is incorrect as it is too small a quantity for 0.1 liters.
How many centimeters are in 1 meter?
- A. 10 cm
- B. 100 cm
- C. 1,000 cm
- D. 10,000 cm
Correct Answer: B
Rationale: The correct answer is B: 100 cm. 1 meter is equivalent to 100 centimeters. Choice A (10 cm) is incorrect as it represents the conversion of decimeters to centimeters. Choice C (1,000 cm) is incorrect as it represents the conversion of meters to millimeters. Choice D (10,000 cm) is incorrect as it represents the conversion of meters to centimeters with an extra zero.
How many centimeters are in one millimeter?
- A. 1/100 cm
- B. 0.1 cm
- C. 1 cm
- D. 10 cm
Correct Answer: B
Rationale: The correct answer is B: 0.1 cm. One millimeter is equal to 0.1 centimeters, not 1/100th cm as mentioned in choice A. Choice C, 1 cm, is incorrect as a millimeter is smaller than a centimeter. Choice D, 10 cm, is incorrect as it incorrectly magnifies the conversion, making a millimeter larger than a centimeter. Therefore, the accurate conversion is that one millimeter equals 0.1 centimeters.
What is 0.875 converted 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, we write it as 875/1000. Simplifying by dividing both the numerator and denominator by 125, we get 7/8. Therefore, the correct answer is A. Choice B (8/7) is incorrect as it represents a fraction greater than 1. Choice C (3/4) and Choice D (9/10) do not match the correct conversion of 0.875.