What is 0.875 as a fraction?

Correct Answer: A

Rationale: To convert 0.875 to a fraction, you can write it as 875/1000. Simplifying this fraction by dividing the numerator and denominator by their greatest common divisor, which is 125, gives you 7/8. Therefore, the correct answer is 7/8. Choice B (9/10), Choice C (5/6), and Choice D (3/4) are incorrect as they do not represent the fraction equivalent of 0.875.

Correct Answer: A

Rationale: To convert liters to milliliters, you need to multiply by 1000 since there are 1000 milliliters in a liter. Therefore, 0.5 liters is equal to 500 milliliters. Choices B, C, and D are incorrect because they do not reflect the correct conversion from liters to milliliters.

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.

Correct Answer: A

Rationale: The decimal 0.07 can be expressed as the fraction 7/100, where 7 is the numerator and 100 is the denominator. To simplify the fraction, you divide both the numerator and denominator by their greatest common divisor, which in this case is 1. Therefore, 7/100 is already in its simplest form and cannot be further simplified. Choices B, C, and D are incorrect fractions as they do not represent the decimal 0.07.

Correct Answer: C

Rationale: To convert centimeters to millimeters, you need to multiply by 10 since there are 10 millimeters in a centimeter. Therefore, 0.75 centimeters equals 0.75 x 10 = 7.5 millimeters, not 75 millimeters (Choice C). Choice A (7.5 mm) is the correct conversion, while Choice B (0.75 mm) and Choice D (75 cm) are incorrect conversions.

Correct Answer: B

Rationale: The correct answer is B: Liters. In the metric system, liters are the base unit for liquid volume. Milliliters, though a metric unit, are a smaller unit of volume and not the base unit. Gallons, on the other hand, are part of the imperial system and not a metric unit for volume. Option D is a duplicate of option B, making it incorrect.

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.

Correct Answer: B

Rationale: The correct answer is B: 3 feet. This is because 1 yard is equivalent to 3 feet. The conversion factor between yards and feet is 1 yard = 3 feet. Choice A (4 feet) is incorrect as it represents the conversion of 1 yard to 4 feet, which is inaccurate. Choice C (2 feet) is incorrect as it underestimates the number of feet in 1 yard. Choice D (5 feet) is incorrect as it overestimates the number of feet in 1 yard.

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.