What is 0.16 as a fraction?

Correct Answer: C

Rationale: To convert 0.16 into a fraction, you write it as 16\100, which simplifies to 4\25. This fraction is in its simplest form and accurately represents the original decimal value without further reduction. Choice A (16\1000) is incorrect because the fraction is not simplified, and Choice D (4\50) is incorrect as it simplifies to 2\25, not representing the original decimal value. Therefore, Choice C is the correct answer.

Correct Answer: B

Rationale: The correct answer is B: derived units. When base units (such as grams or milliliters) are combined, as seen in g/mL (grams per milliliter) for density, they form derived units. Derived units measure complex quantities that are derived from combinations of base units. Choice A, 'combined units,' is incorrect as it does not specifically refer to the formation of new units from base units. Choice C, 'base units,' is incorrect because base units are the fundamental units from which all other units are derived, not the combinations of units. Choice D, 'calculated units,' is incorrect as it does not accurately describe the concept of combining base units to form a new unit like g/mL for density.

Correct Answer: A

Rationale: To convert 0.004 to a ratio, we first express it as 4/1000, which simplifies to 1/250. Hence, 0.004 is equivalent to the simplified ratio of 1:250. Choice B, 4:35, is incorrect as it does not reflect the correct conversion. Choice C, 7:28, is incorrect because it does not represent the simplified ratio of 0.004. Choice D, 4:00, is incorrect as it does not simplify to the original decimal value.

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, 2 grams is equal to 2,000 milligrams. Choice A (200 mg) is incorrect as it represents 0.2 grams. Choice C (20 mg) is incorrect as it represents 0.02 grams. Choice D (20,000 mg) is incorrect as it represents 20 grams.

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, 345 cm · 100,000 = 0.00345 km. The correct answer is 0.0345 km, which is obtained by accurately dividing 345 by 100,000. Choices A, C, and D are incorrect because they do not correctly apply the conversion factor and result in inaccurate values for kilometers.

Correct Answer: A

Rationale: To convert centimeters to millimeters, you need to multiply by 10 since 1 centimeter equals 10 millimeters. Therefore, 0.5 centimeters is equal to 5 millimeters (0.5 * 10 = 5). Choice A, '5 mm,' is the correct answer. Choice B, '0.5 mm,' is incorrect as it would be equivalent to half a millimeter. Choice C, '50 mm,' is incorrect as it represents 50 millimeters, which would be the equivalent of 5 centimeters. Choice D, '0.05 mm,' is incorrect as it represents 0.05 millimeters, which is a fraction of 1 millimeter.

Correct Answer: A

Rationale: To convert 0.26 to a fraction, we write it as 26/100. To simplify this fraction, we divide both the numerator and the denominator by their greatest common divisor, which is 2 in this case. Dividing 26 and 100 by 2 results in 13/50. Therefore, 0.26 as a fraction in simplest form is 13/50. Choice B (26/100) is the original form of the decimal, not simplified. Choice C (26/1000) is incorrect as it doesn't match the decimal representation. Choice D (1/4) is not the equivalent fraction for 0.26.

Correct Answer: B

Rationale: The correct answer is B: 2000 pounds. A ton is equivalent to 2000 pounds. This is a standard conversion in the imperial system of measurement. Choice A, 1000 pounds, is incorrect as it represents half a ton. Choice C, 1500 pounds, and Choice D, 2500 pounds, are also incorrect as they do not match the correct conversion of 1 ton to 2000 pounds.

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.