Nokea
Convert 3,540 liters to milliliters (mL).
- A. 354,000 mL
- B. 3,540,000 mL
- C. 35,400 mL
- D. 35,400,000 mL
Correct Answer: B
Rationale: To convert liters to milliliters, you need to multiply by 1,000 because there are 1,000 milliliters in 1 liter. Therefore, 3,540 liters 1,000 = 3,540,000 milliliters. Choices A, C, and D are incorrect because they do not correctly convert liters to milliliters. A, C, and D are off by a factor of 1,000, as they do not account for the conversion factor between liters and milliliters.
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The SI prefixes micro and milli represent, respectively:
- A. 10^-6 and 10^-3
- B. 10^-9 and 10^-6
- C. 10^-12 and 10^-9
- D. 10^-15 and 10^-12
Correct Answer: A
Rationale: The prefixes 'micro-' and 'milli-' represent 10^-6 and 10^-3, respectively. 'Micro-' denotes one-millionth (10^-6), while 'milli-' denotes one-thousandth (10^-3). Choice B is incorrect because it confuses the order of magnitudes for micro and milli. Choice C and D are also incorrect as they provide the wrong values for the prefixes micro and milli.
Convert 0.075 mg to micrograms.
- A. 75 mcg
- B. 7.5 mcg
- C. 0.75 mcg
- D. 750 mcg
Correct Answer: D
Rationale: To convert milligrams to micrograms, you need to multiply by 1000, not 10000. Therefore, to convert 0.075 mg to mcg, you multiply 0.075 by 1000, giving you 75 mcg. The correct answer is not provided in the choices, and the correct conversion is 75 mcg, which is not listed as an option. Choices A, B, and C are incorrect because they do not reflect the correct conversion factor. Choice D, 750 mcg, is a common mistake made by incorrectly adding a zero. It is important to remember that the conversion from milligrams to micrograms involves multiplying by 1000, not adding extra zeros.
What is 0.3 as a fraction in simplest form?
- A. 3/10
- B. 1/3
- C. 1/4
- D. 1/5
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.
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.
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.