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How many liters are in 3,000 milliliters?
- A. 0.3 liters
- B. 30 liters
- C. 3 liters
- D. 0.03 liters
Correct Answer: C
Rationale: To convert milliliters to liters, you need to divide by 1,000 since there are 1,000 milliliters in a liter. Therefore, 3,000 milliliters / 1,000 = 3 liters. Choice A '0.3 liters' is incorrect as it represents 300 milliliters, not 3,000. Choice B '30 liters' is incorrect as it is the result of multiplying by 10 instead of dividing by 1,000. Choice D '0.03 liters' is incorrect as it represents 30 milliliters, not 3,000.
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What unit is used to measure density in the metric system?
- A. grams per cubic meter (g/m³)
- B. grams per liter (g/L)
- C. grams per cubic centimeter (g/cm³)
- D. grams per square meter (g/m²)
Correct Answer: A
Rationale: Density is measured in grams per cubic meter (g/m³) in the metric system. This unit represents the amount of mass (in grams) per unit volume (cubic meter). Choice B, grams per liter (g/L), is incorrect as density is not typically measured in liters. Choice C, grams per cubic centimeter (g/cm³), is a common unit for density but not the standard SI unit. Choice D, grams per square meter (g/m²), is a unit for surface density, not volumetric density. Therefore, the correct unit for measuring density in the metric system is grams per cubic meter (g/m³).
How many liters are in 750 milliliters?
- A. 7.5 liters
- B. 0.75 liters
- C. 0.0075 liters
- D. 0.075 liters
Correct Answer: B
Rationale: To convert milliliters to liters, you need to divide by 1000 since there are 1000 milliliters in a liter. Therefore, 750 milliliters divided by 1000 equals 0.75 liters. Choice A (7.5 liters) is incorrect as it is off by a factor of 10. Choice C (0.0075 liters) is incorrect as it is off by a factor of 100. Choice D (0.075 liters) is incorrect as it is off by a factor of 10.
Convert 345,000 millimeters to centimeters (cm).
- A. 34,500 cm
- B. 3,450 cm
- C. 345,000 cm
- D. 345,000,000 cm
Correct Answer: B
Rationale: To convert millimeters to centimeters, you need to divide by 10 since there are 10 millimeters in 1 centimeter. Therefore, 345,000 mm · 10 = 34,500 cm. Choice A is incorrect because it is a factor of 10 higher than the correct answer. Choice C is incorrect because it represents the original quantity in centimeters, not the converted value. Choice D is incorrect as it erroneously multiplies the millimeters by 1,000 instead of dividing by 10 to convert to centimeters.
What is 0.02 as a ratio?
- A. 1:50
- B. 1:20
- C. 2:100
- D. 4:20
Correct Answer: C
Rationale: To convert 0.02 to a ratio, you need to express it as a fraction. 0.02 is equivalent to 2/100. Simplifying this fraction gives you 1/50. So, the correct ratio for 0.02 is 1:50. Choice A is correct because it accurately represents the ratio of 0.02. Choices B, C, and D are incorrect: B is not the simplified form of 0.02, C simplifies to 1:50, not 2:40, and D is not the correct simplified ratio for 0.02.
How many ounces are in 0.5 liters?
- A. 16.91 oz
- B. 15.91 oz
- C. 17.91 oz
- D. 18.91 oz
Correct Answer: A
Rationale: To convert liters to ounces, you need to multiply the volume in liters by 33.814. In this case, 0.5 liters multiplied by 33.814 equals approximately 16.91 ounces. This conversion is commonly used in culinary and liquid measurements. Choices B, C, and D are incorrect as they do not reflect the correct conversion factor from liters to ounces.