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.
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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 0.45 liters in milliliters?
- A. 450 ml
- B. 45 ml
- C. 4.5 ml
- D. 0.45 ml
Correct Answer: A
Rationale: To convert liters to milliliters, you need to multiply by 1000 since 1 liter equals 1000 milliliters. Therefore, 0.45 liters is equivalent to 450 milliliters. Choice B, 45 ml, is incorrect as it represents the conversion of 0.045 liters to milliliters. Choice C, 4.5 ml, is incorrect as it represents the conversion of 0.0045 liters to milliliters. Choice D, 0.45 ml, is incorrect as it is the initial quantity in milliliters and not the result of the conversion.
How many milliliters are in 1.5 liters?
- A. 15 mL
- B. 1,500 mL
- C. 150 mL
- D. 150,000 mL
Correct Answer: B
Rationale: To convert liters to milliliters, you need to multiply by 1,000 since there are 1,000 milliliters in a liter. Therefore, 1.5 liters x 1,000 = 1,500 milliliters. Choice A, 15 mL, is incorrect as it represents the conversion of 0.015 liters. Choice C, 150 mL, is incorrect as it represents the conversion of 0.15 liters. Choice D, 150,000 mL, is incorrect as it represents the conversion of 150 liters.
What is it called when base units are combined, such as g/mL for density?
- A. combined units
- B. derived units
- C. base units
- D. calculated units
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.
What does 'm' stand for in the metric system?
- A. meter
- B. mole
- C. milli
- D. micro
Correct Answer: A
Rationale: The correct answer is 'meter.' In the metric system, 'm' stands for meter, which is the base unit for length. Choice B, 'mole,' is a unit used in chemistry to represent an amount of substance. Choice C, 'milli,' represents a prefix indicating one-thousandth, and choice D, 'micro,' represents a prefix indicating one-millionth. Therefore, the correct choice is 'A: meter.'