Jeff drank 2 liters of water in a day. Samuel drank 0.25 dekaliter of water in a day. Who drank more water and how many more MILILITERS of water did that person drink?
The Correct Answer and Explanation is:
To determine who drank more water, let’s first convert both quantities to the same unit (milliliters).
1. Convert Jeff’s Water Intake to Milliliters:
Jeff drank 2 liters of water. To convert liters to milliliters, we multiply by 1,000 (since 1 liter = 1,000 milliliters).
[
2 \text{ liters} \times 1,000 = 2,000 \text{ milliliters}
]
So, Jeff drank 2,000 milliliters of water.
2. Convert Samuel’s Water Intake to Milliliters:
Samuel drank 0.25 dekaliters of water. To convert dekaliters to milliliters, we first need to know that 1 dekaliter = 10 liters, and then convert the result from liters to milliliters.
[
0.25 \text{ dekaliters} \times 10 = 2.5 \text{ liters}
]
Then, we convert 2.5 liters to milliliters:
[
2.5 \text{ liters} \times 1,000 = 2,500 \text{ milliliters}
]
So, Samuel drank 2,500 milliliters of water.
3. Compare Their Water Intake:
Now that we have both quantities in milliliters:
- Jeff drank 2,000 milliliters.
- Samuel drank 2,500 milliliters.
Since 2,500 milliliters is greater than 2,000 milliliters, Samuel drank more water.
4. Calculate the Difference:
To find out how many more milliliters Samuel drank compared to Jeff:
[
2,500 \text{ milliliters} – 2,000 \text{ milliliters} = 500 \text{ milliliters}
]
Answer: Samuel drank more water than Jeff by 500 milliliters.
Explanation:
This problem involves comparing quantities measured in different units: liters and dekaliters. By converting each to milliliters, a smaller unit, we simplify the comparison. This method is particularly useful in real-life scenarios involving measurements in varying units. Converting to milliliters allows for an accurate comparison without needing to estimate values. Since 1 liter equals 1,000 milliliters, this base knowledge simplifies conversions. Similarly, understanding that 1 dekaliter equals 10 liters enables us to easily scale the quantities. This method is especially common in fields like nursing, engineering, and culinary arts, where precise measurements and conversions are essential for accuracy.