Sure, let's solve the problem step-by-step.
We need to add the two numbers: [tex]\(0.35\)[/tex] and [tex]\(0.27\)[/tex].
1. Align the Decimal Points:
Ensure the numbers are aligned by their decimal points for easy addition:
```
0.35
+ 0.27
```
2. Add the Hundredths Place:
Add the digits in the hundredths place (5 and 7):
[tex]\(5 + 7 = 12\)[/tex]
We write down the 2 and carry over the 1 to the tenths place.
3. Add the Tenths Place:
Add the digits in the tenths place along with the carried-over 1 (3 + 2 + 1):
[tex]\(3 + 2 + 1 = 6\)[/tex]
4. Place the Decimal Point:
Place the decimal point in the result directly below the decimal points in the numbers being added:
[tex]\[
0.35
+ 0.27
\quad\_= 0.62
\][/tex]
Therefore, the correct answer is:
[tex]\[
0.35 + 0.27 = 0.62
\][/tex]
So, out of the given options, the correct answer is:
[tex]\[
0.62
\][/tex]
