To solve the problem \( 23.06 - 8.24 \) vertically, you can align the decimal points as follows:
23.06
- 8.24
Now, subtract starting from the rightmost digits:
23.06
- 8.24
_________
- Subtract the hundredths: \( 6 - 4 = 2 \)
- Subtract the tenths: \( 0 - 2 = -2 \) (we need to borrow 1 from the units column)
- After borrowing, the tenths column becomes \( 10 - 2 = 8 \) and the units column becomes \( 2 - 1 = 1 \).
- Subtract the units: \( 1 - 8 = -7 \) (again we need to borrow)
- After borrowing 1 from the tens column, the tens column becomes \( 1 - 1 = 0 \) and now we have \( 11 - 8 = 3 \).
- Subtract the tens: \( 2 - 0 = 2 \).
Now, put it all together:
23.06
- 8.24
_________
14.82
So, the solution to \( 23.06 - 8.24 = 14.82 \).