Sure! Let's work through the subtraction step-by-step:
1. Line up the numbers by their decimal points:
```
32.70
- 24.98
```
2. Start subtracting from the rightmost digit to the left.
- Subtract the hundredths place: [tex]\(0 - 8\)[/tex]. Since 0 is smaller than 8, we need to borrow 1 from the tenths place. This turns the tenths place in 32.70 from 7 to 6, and the hundredths place becomes [tex]\(10 - 8 = 2\)[/tex].
```
32.60 (borrowing)
- 24.98
----------
0.02 (current result)
```
- Subtract the tenths place: [tex]\(6 - 9\)[/tex]. Again, since 6 is smaller than 9, we need to borrow 1 from the ones place. This turns the ones place in 32.60 from 2 to 1, and the tenths place becomes [tex]\(16 - 9 = 7\)[/tex].
```
31.60 (borrowing)
- 24.98
----------
7.02 (current result)
```
- Subtract the ones place: [tex]\(1 - 4\)[/tex]. Since 1 is smaller than 4, we need to borrow 1 from the tens place. This turns the tens place in 31.60 from 3 to 2, and the ones place becomes [tex]\(11 - 4 = 7\)[/tex].
```
2(11).60 (borrowing)
- 24.98
----------
7.72 (current result)
```
- Finally, subtract the tens place: [tex]\(2 - 2\)[/tex]. This gives us [tex]\(0\)[/tex].
```
32.70
- 24.98
----------
7.72 (final result)
```
Therefore, the result of [tex]\(32.7 - 24.98\)[/tex] is [tex]\(7.720000000000002\)[/tex].
