How many teaspoons are in 1.692 liters? ( 1 tsp = 5 mL exactly)
The Correct Answer and Explanation is:
To find how many teaspoons are in 1.692 liters, we follow these steps:
Step 1: Convert liters to milliliters
Since 1 liter = 1000 milliliters,
we multiply:
1.692 liters × 1000 = 1692 milliliters
Step 2: Convert milliliters to teaspoons
We are told that 1 teaspoon = 5 milliliters.
So, to find the number of teaspoons:
1692 ÷ 5 = 338.4 teaspoons
✅ Final Answer: 338.4 teaspoons
Detailed Explanation:
This problem involves two unit conversions. First, we convert the volume from liters to milliliters because the teaspoon conversion is defined in terms of milliliters. Since the metric system is based on powers of ten, converting from liters to milliliters simply requires multiplying by 1000. This gives us 1692 milliliters.
Next, we convert milliliters to teaspoons. The problem states that 1 teaspoon equals exactly 5 milliliters, so we divide the total milliliters by 5. This operation is straightforward:
1692 ÷ 5 = 338.4
This means that there are 338.4 teaspoons in 1.692 liters.
This type of calculation is useful in chemistry, cooking, and pharmacy, where converting between metric units and smaller practical measurements like teaspoons is common. Precision is important here. Since the teaspoon measurement is exact (5 mL per tsp), there is no rounding error introduced from the conversion factor.
In practical applications, if the teaspoon measurement needed to be used for dosing, such as in medication, the decimal part (.4 of a teaspoon) would need to be either measured precisely using a metric tool or approximated carefully. However, for mathematical and scientific purposes, the exact conversion is 338.4 teaspoons.
