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What is 0.03 as a fraction?
- A. 3/100
- B. 1/30
- C. 1/3
- D. 1/10
Correct Answer: A
Rationale: To convert a decimal to a fraction, you place the decimal value over a power of 10, where the number of zeros in the denominator is equal to the number of decimal places in the decimal. In this case, 0.03 can be written as 3/100 because there are two decimal places (hundredths). This fraction is already in simplest form. Choice B, 1/30, is incorrect as it represents 0.033 as a fraction. Choice C, 1/3, is incorrect as it represents 0.3 as a fraction. Choice D, 1/10, is incorrect as it represents 0.1 as a fraction.
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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.
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.
The metric prefix of Tera is abbreviated as T- and has a value of 10^12. What does Tera mean numerically?
- A. 10^6
- B. 10^9
- C. 10^12
- D. 10^3
Correct Answer: C
Rationale: The correct answer is C: 10^12. Tera represents a numerical value of 10^12, which is equivalent to one trillion. It is commonly used in computing and other fields to denote large-scale measurements. Choice A, 10^6, is incorrect as it corresponds to the metric prefix 'Mega.' Choice B, 10^9, is incorrect and corresponds to the metric prefix 'Giga.' Choice D, 10^3, is incorrect and corresponds to the metric prefix 'Kilo.' Therefore, the correct interpretation of the metric prefix Tera is 10^12.
What is the equivalent of 0.3 milliliters?
- A. 0.03 ml
- B. 0.3 ml
- C. 3 ml
- D. 30 ml
Correct Answer: B
Rationale: 0.3 milliliters is equivalent to 0.3 ml. This is a precise measurement commonly used in medical settings for administering small doses of liquid medication. It is important to understand and recognize the decimal point placement when converting between milliliters and other volume units. Choice A (0.03 ml) is incorrect as it represents a smaller amount than 0.3 ml. Choice C (3 ml) and Choice D (30 ml) are also incorrect as they are larger measurements and do not match the given amount of 0.3 ml.
How many grams are in one kilogram?
- A. 100 grams
- B. 1000 grams
- C. 500 grams
- D. 2000 grams
Correct Answer: B
Rationale: The correct answer is B: 1000 grams. This is because by definition, 1 kilogram is equal to 1000 grams. Choice A, 100 grams, is incorrect as it underestimates the actual conversion. Choice C, 500 grams, and Choice D, 2000 grams, are also incorrect as they do not align with the correct conversion factor of 1 kilogram to 1000 grams.