Answer :

To solve the addition problem [tex]\(147 + 18.05\)[/tex], follow these steps:

1. Write the numbers vertically and align them by the decimal point.
- The number 147 can be rewritten as 147.00 to ensure the decimal alignment with 18.05.
```
147.00
+ 18.05
```

2. Add the numbers starting from the rightmost digit (hundredths place).
- Add the hundredths: [tex]\(0 + 5 = 5\)[/tex].

3. Move to the next digit to the left (tenths place).
- Add the tenths: [tex]\(0 + 0 = 0\)[/tex].

4. Move to the next digit (units place).
- Add the units: [tex]\(7 + 8 = 15\)[/tex]. Write 5 and carry over 1 to the next column.

5. Add the next set of digits (tens place), including the carry-over:
- Add the tens: [tex]\(4 + 1 = 5\)[/tex], then add the carry-over 1: [tex]\(5 + 1 = 6\)[/tex].

6. Move to the last set of digits (hundreds place).
- Add the hundreds: [tex]\(1\)[/tex] (since there is no other number in the hundreds column to add to [tex]\(1\)[/tex]).

The result of this addition is 165.05.