How many millimeters (mm) are in 3.45 meters?

Correct Answer: B

Rationale: To convert meters to millimeters, you need to multiply by 1,000 because there are 1,000 millimeters in a meter. Therefore, 3.45 meters 1,000 = 3,450 millimeters. Choices A, C, and D are incorrect because they do not reflect the correct conversion factor from meters to millimeters.

Correct Answer: A

Rationale: To convert 0.125 to a fraction, we write it as 125/1000. Simplifying by dividing both the numerator and denominator by 125 gives us 1/8. Therefore, choice A (1/8) is the correct answer. Choice B (1/4) is incorrect as it represents 0.25, not 0.125. Choice C (1/2) is incorrect as it represents 0.5, not 0.125. Choice D (1/16) is incorrect as it represents 0.0625, not 0.125.

Correct Answer: B

Rationale: The correct answer is B: 4 quarts. There are 4 quarts in 1 gallon. This conversion is based on the fact that 1 gallon is equivalent to 4 quarts. Choice A is incorrect as 2 quarts are half of a gallon, not a whole gallon. Choice C is incorrect as 3 quarts is less than a gallon. Choice D is incorrect as it represents only one quart, whereas the question asks for the quantity in a gallon.

Correct Answer: A

Rationale: To convert kilograms to grams, you need to multiply by 1,000 since there are 1,000 grams in a kilogram. Therefore, 0.1 kg equals 100 grams. Choice B (10 g) is incorrect because it represents converting 0.01 kg to grams. Choice C (1 g) is incorrect as it reflects the conversion of 0.001 kg to grams. Choice D (0.1 g) is the value in grams equivalent to 0.01 kg, not 0.1 kg.

Correct Answer: B

Rationale: To convert grams to milligrams, you need to multiply by 1,000 because there are 1,000 milligrams in 1 gram. Therefore, 1 gram 1,000 = 1,000 milligrams. Choice A (100 mg) is incorrect as it represents 0.1 grams, not 1 gram. Choice C (1 mg) is incorrect as it represents a fraction of a gram. Choice D (10,000 mg) is incorrect as it is 10 times more than the correct conversion.

Correct Answer: A

Rationale: To convert grams to kilograms, you need to divide by 1000 since there are 1000 grams in a kilogram. So, 100 grams divided by 1000 equals 0.1 kilograms, making choice A the correct answer. Choices B, C, and D are incorrect because they do not involve the correct conversion factor or calculation. Choice B of 1 kg is the equivalent of 1000 grams, which is 10 times the given value of 100 grams, making it too large. Choice C of 10 kg is 100 times the given value, and choice D of 0.01 kg is 10 times smaller than the correct conversion.

Correct Answer: A

Rationale: To find the product of 0.5 and 200, you multiply the two numbers, which equals 100. The correct answer is A. Choice B, 50, is the result of multiplying 0.5 by 100 instead of 200. Choice C, 150, is the result of adding 0.5 and 200 instead of multiplying them. Choice D, 200, is the second number in the multiplication operation and not the correct product.

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.

Correct Answer: A

Rationale: To convert liters to milliliters, you need to multiply by 1000 because 1 liter is equal to 1000 milliliters. Therefore, when you convert 0.5 liters to milliliters, you get 500 milliliters (0.5 * 1000 = 500). This conversion is commonly used in various situations where different units of volume are required. Choices B, C, and D are incorrect because they do not follow the correct conversion factor between liters and milliliters.