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.
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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.
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 0.03 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.
What is 0.4 expressed in inches?
- A. 0.04 inches
- B. 4 inches
- C. 0.4 inches
- D. 40 inches
Correct Answer: C
Rationale: To express 0.4 in inches, you don't need to convert it further as it is already in inches. Therefore, the correct answer is 0.4 inches. Choice A (0.04 inches) is incorrect as it represents a smaller quantity. Choice B (4 inches) and Choice D (40 inches) are incorrect as they represent larger quantities, which are not equivalent to 0.4 inches.
How many ounces are in one gallon?
- A. 64 ounces
- B. 128 ounces
- C. 100 ounces
- D. 150 ounces
Correct Answer: B
Rationale: The correct answer is B: 128 ounces. One gallon is equivalent to 128 ounces. This conversion relationship is commonly used in cooking, baking, and various liquid measurements. Choice A (64 ounces) is incorrect as it represents half the amount of a gallon. Choice C (100 ounces) and Choice D (150 ounces) are also incorrect, as they do not accurately reflect the conversion of a gallon to ounces.
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