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.
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Convert 345 kilometers to meters (m).
- A. 345,000 m
- B. 34,500 m
- C. 34,500,000 m
- D. 345,000,000 m
Correct Answer: B
Rationale: To convert kilometers to meters, you need to multiply by 1,000 since there are 1,000 meters in a kilometer. Therefore, 345 km multiplied by 1,000 equals 345,000 meters. Choice A is incorrect as it incorrectly places the comma. Choice C is incorrect as it adds an extra zero at the end. Choice D is incorrect as it adds an extra zero at the beginning, resulting in an incorrect conversion.
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.
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.
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.
How many milliliters are in 0.5 liters?
- A. 50 mL
- B. 500 mL
- C. 5,000 mL
- D. 5 mL
Correct Answer: B
Rationale: To convert liters to milliliters, you need to multiply by 1000 since there are 1000 milliliters in 1 liter. Therefore, 0.5 liters x 1000 = 500 milliliters, making choice B the correct answer. Choices A, C, and D are incorrect because they do not correctly convert liters to milliliters.