Correct
Add or subtract the following measurements. Be sure each answer you enter contains the correct number of significant figures.
[tex]\begin{aligned}
14.6 mL+15.50 mL & =30.1 mL \\
15.61 mL-5.5 mL & =10.1 mL \\
3.520 mL+18.8 mL & =22.3 mL
\end{aligned}[/tex]
Answer (1)
Verify the addition: 14.6 m L + 15.50 m L = 30.1 m L , which is correct.
Verify the subtraction: 15.61 m L − 5.5 m L = 10.11 m L , but the answer is given as 10.1 m L , which is incorrect.
Verify the addition: 3.520 m L + 18.8 m L = 22.320 m L , but the answer is given as 22.3 m L , which is incorrect.
The second and third calculations are incorrect.
Explanation
Problem Analysis We are asked to verify three arithmetic calculations involving volume measurements in milliliters (mL). We need to check if the given sums and differences are correct.
Verifying the First Calculation First, let's verify the addition of 14.6 mL and 15.50 mL. The sum is: 14.6 + 15.50 = 30.1 The result matches the given answer of 30.1 mL.
Verifying the Second Calculation Next, let's verify the subtraction of 15.61 mL and 5.5 mL. The difference is: 15.61 − 5.5 = 10.11 The given answer is 10.1 mL. However, our calculation shows 10.11 mL.
Verifying the Third Calculation Finally, let's verify the addition of 3.520 mL and 18.8 mL. The sum is: 3.520 + 18.8 = 22.320 The given answer is 22.3 mL. However, our calculation shows 22.320 mL.
Conclusion The first calculation is correct. The second calculation should be 10.11 mL, but it is given as 10.1 mL. The third calculation should be 22.320 mL, but it is given as 22.3 mL. Therefore, the second and third calculations are incorrect.
Examples
In a chemistry lab, accurate measurements are crucial for experiments. Verifying these calculations ensures that the correct volumes of liquids are being used, which can affect the outcome of the experiment. For example, if a reaction requires precisely 10.11 mL of a solution, using only 10.1 mL could lead to incomplete reactions or inaccurate results. Similarly, in cooking, if a recipe calls for adding 3.520 mL of vanilla extract to 18.8 mL of milk, the total volume should be 22.320 mL for the recipe to turn out as expected.
