Answer :
To determine whether the conversion factor between milliliters (mL) and liters (L) is correctly stated as 1000 L/1 mL, let's review the fundamental conversion relationship between these units of volume.
1. Understanding the Units:
- The base unit of volume in the metric system is the liter (L).
- A milliliter (mL) is a smaller unit of volume, and it is one-thousandth of a liter.
2. Conversion Relationship:
- By definition, 1 liter (L) is equal to 1000 milliliters (mL).
- This means:
[tex]\[ 1 \text{ L} = 1000 \text{ mL} \][/tex]
- Consequently, 1 mL is equal to [tex]\( \frac{1}{1000} \)[/tex] L.
- This simplifies to:
[tex]\[ 1 \text{ mL} = 0.001 \text{ L} \][/tex]
Now let's analyze the given conversion factor:
[tex]\[ 1000 \text{ L} / 1 \text{ mL} \][/tex]
3. Verifying the Given Conversion:
- The conversion factor states that 1000 liters are equivalent to one milliliter.
- However, this is incorrect because in reality, 1000 milliliters are equivalent to one liter.
Thus, the correct conversion factor between mL and L is:
[tex]\[ 1000 \text{ mL} / 1 \text{ L} \][/tex]
Hence, the given statement, "A conversion factor between mL and L is 1000 L/1 mL," is incorrect.
Answer:
O False
1. Understanding the Units:
- The base unit of volume in the metric system is the liter (L).
- A milliliter (mL) is a smaller unit of volume, and it is one-thousandth of a liter.
2. Conversion Relationship:
- By definition, 1 liter (L) is equal to 1000 milliliters (mL).
- This means:
[tex]\[ 1 \text{ L} = 1000 \text{ mL} \][/tex]
- Consequently, 1 mL is equal to [tex]\( \frac{1}{1000} \)[/tex] L.
- This simplifies to:
[tex]\[ 1 \text{ mL} = 0.001 \text{ L} \][/tex]
Now let's analyze the given conversion factor:
[tex]\[ 1000 \text{ L} / 1 \text{ mL} \][/tex]
3. Verifying the Given Conversion:
- The conversion factor states that 1000 liters are equivalent to one milliliter.
- However, this is incorrect because in reality, 1000 milliliters are equivalent to one liter.
Thus, the correct conversion factor between mL and L is:
[tex]\[ 1000 \text{ mL} / 1 \text{ L} \][/tex]
Hence, the given statement, "A conversion factor between mL and L is 1000 L/1 mL," is incorrect.
Answer:
O False
