Answer :
To convert 1 deciliter (dL) to hectoliters (hL), you need to understand the relationship between these two units of volume.
1. Understanding the Units:
- A deciliter (dL) is a unit of volume that is one-tenth of a liter.
- A hectoliter (hL) is a unit of volume that is one hundred liters.
2. Conversions:
- We know that 1 liter (L) is equivalent to 10 deciliters (dL).
- Similarly, 1 hectoliter (hL) is equivalent to 100 liters (L).
3. Finding the Conversion Factor:
- To convert from deciliters to hectoliters, we need to determine how many hectoliters are in one deciliter.
- We already established that 1 hL = 100 L.
- Since 1 L = 10 dL, this means 1 hL = 100 L = 1000 dL.
4. Perform the Conversion:
- To convert from deciliters to hectoliters, divide the number of deciliters by the number of deciliters per hectoliter.
- Therefore: [tex]\( 1 \text{ dL} = \frac{1}{1000} \text{ hL} \)[/tex].
5. Result:
- Hence, 1 deciliter is equal to 0.001 hectoliters.
So, the correct conversion is [tex]\( 1 \text{ dL} = 0.001 \text{ hL} \)[/tex], which matches the given choice.
1. Understanding the Units:
- A deciliter (dL) is a unit of volume that is one-tenth of a liter.
- A hectoliter (hL) is a unit of volume that is one hundred liters.
2. Conversions:
- We know that 1 liter (L) is equivalent to 10 deciliters (dL).
- Similarly, 1 hectoliter (hL) is equivalent to 100 liters (L).
3. Finding the Conversion Factor:
- To convert from deciliters to hectoliters, we need to determine how many hectoliters are in one deciliter.
- We already established that 1 hL = 100 L.
- Since 1 L = 10 dL, this means 1 hL = 100 L = 1000 dL.
4. Perform the Conversion:
- To convert from deciliters to hectoliters, divide the number of deciliters by the number of deciliters per hectoliter.
- Therefore: [tex]\( 1 \text{ dL} = \frac{1}{1000} \text{ hL} \)[/tex].
5. Result:
- Hence, 1 deciliter is equal to 0.001 hectoliters.
So, the correct conversion is [tex]\( 1 \text{ dL} = 0.001 \text{ hL} \)[/tex], which matches the given choice.
