A recipe calls for 2.5 teaspoons of vanilla. 1 teaspoon equals approximately 4.93 mL. Which of the following is the correct amount of vanilla in ml? 12.325 mL 7.43 mL 5.33 mL 0.507 mL
The correct answer and explanation is:
Here’s the breakdown to determine the correct amount of vanilla in milliliters:
1. Understand the Goal:
The problem asks us to convert a volume measurement from teaspoons to milliliters.
2. Identify the Given Information:
- Recipe amount: 2.5 teaspoons of vanilla.
- Conversion factor: 1 teaspoon ≈ 4.93 mL.
3. Determine the Correct Calculation:
Since we know the volume of one teaspoon in milliliters, to find the volume of 2.5 teaspoons, we need to multiply the number of teaspoons by the conversion factor (mL per teaspoon).
Calculation: Number of teaspoons * (mL per teaspoon)
4. Perform the Calculation:
- Multiply the given number of teaspoons (2.5) by the volume per teaspoon (4.93 mL).
- Calculation: 2.5 * 4.93
4.93 x 2.5 ----- 2465 (4.93 * 5, with decimal handled later) 9860 (4.93 * 2, shifted one place, with decimal handled later) ----- 12325 - Now, count the decimal places in the numbers being multiplied. 4.93 has two decimal places, and 2.5 has one decimal place. The total number of decimal places in the result is 2 + 1 = 3.
- Place the decimal point in the result (12325) so that there are three decimal places from the right: 12.325.
5. State the Result:
The calculation shows that 2.5 teaspoons is equal to 12.325 mL.
6. Compare to the Options:
Look at the provided options:
- 12.325 mL
- 7.43 mL
- 5.33 mL
- 0.507 mL
Our calculated result, 12.325 mL, exactly matches the first option.
Explanation:
The problem requires converting a measurement of vanilla from teaspoons (tsp) to milliliters (mL) using a given conversion factor. We are told that a recipe calls for 2.5 teaspoons of vanilla, and that 1 teaspoon is approximately equal to 4.93 mL. To find the total volume in milliliters, we need to determine how many groups of 4.93 mL are contained within 2.5 teaspoons.
The con