Convert 0.5 centimeters to millimeters.
- A. 5 mm
- B. 0.5 mm
- C. 50 mm
- D. 0.05 mm
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.
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What is 0.26 as a fraction in simplest form?
- A. 13/50
- B. 26/100
- C. 26/1000
- D. 1/4
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.
What is 0.2 rounded to the nearest tenth?
- A. 0.1
- B. 0.2
- C. 0.3
- D. 0.25
Correct Answer: B
Rationale: The decimal 0.2 is already at the nearest tenth, so it does not need to be rounded. Rounding to the nearest tenth means keeping one decimal place, which is already the case with 0.2. Therefore, the correct answer is 0.2, as it is already at the specified rounding point. Choices A, C, and D are incorrect because they represent values that are not the result of rounding 0.2 to the nearest tenth. 0.1 is rounding down, 0.3 is rounding up, and 0.25 is not the nearest tenth of 0.2.
What is the correct formula to convert Fahrenheit to Celsius?
- A. F = (C 9/5) + 32
- B. C = (F - 32) 5/9
- C. C = (F - 32) 9/5
- D. F = (C + 32) 5/9
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.
Convert 0.2 liters to milliliters.
- A. 20 ml
- B. 200 ml
- C. 2 ml
- D. 2000 ml
Correct Answer: B
Rationale: To convert 0.2 liters to milliliters, you need to multiply by 1000 because there are 1000 milliliters in 1 liter. Therefore, 0.2 liters x 1000 = 200 ml. Choice A (20 ml) is incorrect because it represents 0.02 liters, not 0.2 liters. Choice C (2 ml) is incorrect as it represents 0.002 liters. Choice D (2000 ml) is incorrect as it represents 2 liters, not 0.2 liters.
What is 0.004 as a simplified ratio?
- A. 1:250
- B. 4:35
- C. 7:28
- D. 4:00
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.