What is the correct formula to convert Fahrenheit to Celsius?

Correct Answer: B

Rationale: The correct formula to convert Fahrenheit to Celsius is C = (F - 32) 5/9. This formula is derived from the relationship between the two temperature scales. The incorrect choices can be ruled out as follows: A. F = (C 9/5) + 32 - This formula is used to convert Celsius to Fahrenheit. C. C = (F - 32) 9/5 - This formula incorrectly multiplies by 9/5 instead of dividing. D. F = (C + 32) 5/9 - This formula does not subtract the constant 32 from the Fahrenheit value.

Correct Answer: B

Rationale: The correct formula for calculating the volume of a solid object is V = L x W x H, where L represents the length, W represents the width, and H represents the height. Choice A (V = W/L) is incorrect as it represents a division operation, not multiplication. Choice C (V = W/H) is incorrect as it does not account for the width and height. Choice D (V = L/W) is incorrect as it represents the inverse operation of what is needed to calculate volume.

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.

Correct Answer: A

Rationale: To convert 0.004 to a ratio, we can express it as 4/1000, which simplifies to 1/250. Therefore, the correct ratio is 1:250. Choice B (4:200) is incorrect as it simplifies to 1:50, not 1:250. Choice C (2:400) simplifies to 1:200, which is also incorrect. Choice D (9:200) simplifies to a ratio greater than 1:1, which is not equivalent to 1:250.

Correct Answer: B

Rationale: To convert kilograms to grams, you need to multiply by 1000 since there are 1000 grams in a kilogram. Therefore, 2 kilograms is equal to 2 x 1000 = 2000 grams. Choice A (200 grams) is incorrect as it represents the value of 0.2 kilograms. Choice C (20 grams) is incorrect as it represents the value of 0.02 kilograms. Choice D (2 grams) is incorrect as it represents the value of 0.002 kilograms.

Correct Answer: B

Rationale: The base unit for mass in the metric system is grams. Grams are the fundamental unit of mass in the metric system, representing smaller quantities than kilograms and tons. Milligrams are a smaller unit of mass, kilograms are a larger unit, and tons are even larger units. Therefore, the correct choice is grams.

Correct Answer: B

Rationale: To convert kiloliters to liters, you multiply by 1,000. Therefore, 1 kiloliter 1,000 = 1,000 liters. Choice A (100 liters) is incorrect because it represents only 1/10th of a kiloliter. Choice C (10 liters) is incorrect as it represents only 1/100th of a kiloliter. Choice D (10,000 liters) is incorrect as it is 10 times bigger than a kiloliter.

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.

Correct Answer: B

Rationale: To convert grams to milligrams, you need to multiply by 1,000 since there are 1,000 milligrams in a gram. Therefore, 3,450 grams 1,000 = 3,450,000 milligrams. Choice A (34,500 mg) is incorrect because it represents the result for converting grams to milligrams by a factor of 10 (not 1,000). Choice C (3,450 mg) is incorrect as it represents the original amount in grams, not the converted amount to milligrams. Choice D (3,450,000 mg) is incorrect as it is the same as the correct answer but with the comma in the wrong place, which would imply converting kilograms to milligrams rather than grams to milligrams.