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Answer :
Which of the following measurements is equal to 2.3 dL?
23 L
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The correct measurement equal to 2.3 dL is 230,000 µL.
To find the equivalent measurement, we need to understand the relationship between different units of volume in the metric system. The prefixes used in the metric system are as follows:
- deci- (d) means one-tenth (1/10)
- centi- (c) means one-hundredth (1/100)
- milli- (m) means one-thousandth (1/1000)
- micro- (µ) means one-millionth (1/1000000)
Now, let's convert 2.3 dL to liters, then to centiliters, milliliters, and micro liters:
1. Since 1 deciliter (dL) is equal to 0.1 liters (L), we have:
[tex]\[ 2.3 \text{ dL} = 2.3 \times 0.1 \text{ L} = 0.23 \text{ L} \][/tex]
2. To convert liters to centiliters (cL), we know that 1 L is equal to 100 cL:
[tex]\[ 0.23 \text{ L} = 0.23 \times 100 \text{ cL} = 230 \text{ cL} \][/tex]
3. To convert liters to milliliters (mL), we know that 1 L is equal to 1000 mL:
[tex]\[ 0.23 \text{ L} = 0.23 \times 1000 \text{ mL} = 230 \text{ mL} \][/tex]
4. To convert liters to micro liters (µL), we know that 1 L is equal to 1,000,000 µL:
[tex]\[ 0.23 \text{ L} = 0.23 \times 1,000,000 \text{ µL} = 230,000 \text{ µL} \][/tex]
Given these conversions, we can now match the equivalent measurement to the options provided:
- 23 L is incorrect because 2.3 dL is equivalent to 0.23 L, not 23 L.
- 2,300 cL is incorrect because 2.3 dL is equivalent to 230 cL, not 2,300 cL.
- 23,000 mL is incorrect because 2.3 dL is equivalent to 230 mL, not 23,000 mL.
- 230,000 µL is correct because 2.3 dL is equivalent to 230,000 µL.
Therefore, the correct answer is 230,000 µL.
