Questions: Calculate the answer and round to the correct number of significant digits. 15.4 ÷ 1.634 [?] 9.425 9 9.42 9.4

Transcript text: Calculate the answer and round to the correct number of significant digits. \[ \begin{array}{c} 15.4 \\ \div 1.634 \\ \hline[?] \end{array} \] 9.425 9 9.42 9.4

Solution

Solution Steps

Step 1: Perform the Division

First, we need to perform the division of \( 15.4 \) by \( 1.634 \).

\[ \frac{15.4}{1.634} \approx 9.4252 \]

Step 2: Determine the Correct Number of Significant Digits

The number \( 15.4 \) has 3 significant digits, and \( 1.634 \) has 4 significant digits. The result should be rounded to the least number of significant digits, which is 3.

Step 3: Round the Result

Round \( 9.4252 \) to 3 significant digits.

\[ 9.4252 \approx 9.43 \]

Step 4: Match with Given Options

The closest option to \( 9.43 \) is \( 9.42 \).