Sure, let's solve each of these problems step-by-step, keeping in mind the correct number of significant figures.
### Problem 1: [tex]\(0.091 + 1.324\)[/tex]
1. Identify the number of decimal places for each number:
- [tex]\(0.091\)[/tex] has 3 decimal places.
- [tex]\(1.324\)[/tex] has 3 decimal places.
2. Add the numbers:
[tex]\[
0.091 + 1.324 = 1.415
\][/tex]
3. Since both numbers have 3 decimal places, the result should also have 3 decimal places.
Therefore:
[tex]\[
0.091 + 1.324 = 1.415
\][/tex]
### Problem 2: [tex]\(41.0 + 78.3\)[/tex]
1. Identify the number of decimal places for each number:
- [tex]\(41.0\)[/tex] has 1 decimal place.
- [tex]\(78.3\)[/tex] has 1 decimal place.
2. Add the numbers:
[tex]\[
41.0 + 78.3 = 119.3
\][/tex]
3. Since both numbers have 1 decimal place, the result should also have 1 decimal place.
Therefore:
[tex]\[
41.0 + 78.3 = 119.3
\][/tex]
So the final answers are:
[tex]\[
\begin{array}{l}
0.091 + 1.324 = 1.415 \\
41.0 + 78.3 = 119.3
\end{array}
\][/tex]
