Questions: Perform the calculation and record the answer with the correct number of significant figures.
(34.123+4.10)/(98.7654-6.655)=
Transcript text: Perform the calculation and record the answer with the correct number of significant figures.
\[
\frac{(34.123+4.10)}{(98.7654-6.655)}=
\]
$\square$
Solution
Solution Steps
Step 1: Calculate the Numerator
First, we calculate the numerator by adding the two values:
\[
34.123 + 4.10 = 38.223
\]
Step 2: Calculate the Denominator
Next, we calculate the denominator by subtracting the two values:
\[
98.7654 - 6.655 = 92.1104
\]
Step 3: Divide the Numerator by the Denominator
Now, we divide the result of the numerator by the result of the denominator:
\[
\frac{38.223}{92.1104} \approx 0.4149694279907589
\]
Step 4: Round to the Correct Number of Significant Figures
Finally, we round the result to the correct number of significant figures. The least number of significant figures in the input values is 3 (from \(4.10\)), so we round the result:
\[
0.415
\]