Question

For an experimental expression \( y = \frac{32.3 \times 1125}{27.4} \), where all the digits are significant. Then to report the value of \( y \), we should write:

• A. \( y = 1326.2 \)
• B. \( y = 1326.19 \)
• C. \( y = 1326.186 \)
• D. \( y = 1330 \)

Hint:

When performing calculations involving significant figures, always round the result to the least number of significant figures in the given data.

Answer 1

The Correct Option is D

Step 1: Perform the calculation. First, calculate the product of \( 32.3 \) and \( 1125 \): \[ 32.3 \times 1125 = 36337.5 \] Now, divide the result by \( 27.4 \): \[ \frac{36337.5}{27.4} \approx 1326.186 \] Step 2: Determine the number of significant figures. The number of significant figures for each number is:
- \( 32.3 \) has 3 significant figures, 
- \( 1125 \) has 4 significant figures, 
- \( 27.4 \) has 3 significant figures. 
The result must be reported to the least number of significant figures, which is 3. 
Step 3: Round the result. The rounded value is: \[ 1326.186 \approx 1330 \] Thus, the correct value of \( y \) is \( 1330 \).