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Answer :
Sure! Let's break down the question step by step.
We need to convert 1 deciliter (dL) to liters (L) and understand how they compare.
1. Understanding Deciliters and Liters:
- A liter (L) is a common unit of volume in the metric system.
- A deciliter (dL) is another unit of volume in the metric system.
- The prefix "deci-" means one-tenth. So, one deciliter is one-tenth of a liter.
2. Converting Deciliters to Liters:
- We can express this relationship mathematically:
[tex]\[
1 \text{ deciliter} = \frac{1}{10} \text{ liter}
\][/tex]
3. Interpreting the Conversion:
- To put it simply, a deciliter is 0.1 liters.
- In other words, 1 deciliter is [tex]\(1/10\)[/tex] of a liter.
4. Comparing with Provided Options:
Now we compare this result with the provided options in the question:
- It is 1/100 of a liter.
- It is 1/10 of a liter.
- It is approximately the same volume as a liter.
- It is 1/1000 of a liter.
From our conversion, we see that:
[tex]\[
1 \text{ deciliter} = 0.1 \text{ liters} = \frac{1}{10} \text{ liters}
\][/tex]
Therefore, the correct answer is:
[tex]\[
\boxed{\text{It is 1/10 of a liter.}}
\][/tex]
We need to convert 1 deciliter (dL) to liters (L) and understand how they compare.
1. Understanding Deciliters and Liters:
- A liter (L) is a common unit of volume in the metric system.
- A deciliter (dL) is another unit of volume in the metric system.
- The prefix "deci-" means one-tenth. So, one deciliter is one-tenth of a liter.
2. Converting Deciliters to Liters:
- We can express this relationship mathematically:
[tex]\[
1 \text{ deciliter} = \frac{1}{10} \text{ liter}
\][/tex]
3. Interpreting the Conversion:
- To put it simply, a deciliter is 0.1 liters.
- In other words, 1 deciliter is [tex]\(1/10\)[/tex] of a liter.
4. Comparing with Provided Options:
Now we compare this result with the provided options in the question:
- It is 1/100 of a liter.
- It is 1/10 of a liter.
- It is approximately the same volume as a liter.
- It is 1/1000 of a liter.
From our conversion, we see that:
[tex]\[
1 \text{ deciliter} = 0.1 \text{ liters} = \frac{1}{10} \text{ liters}
\][/tex]
Therefore, the correct answer is:
[tex]\[
\boxed{\text{It is 1/10 of a liter.}}
\][/tex]
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