1. The problem is to perform vertical subtraction for the given pairs of numbers.
2. The subtraction formula is straightforward: subtract the bottom number from the top number digit by digit, borrowing if necessary.
3. Let's solve the first problem (a):
$$
\begin{array}{r}
864 \\
-231 \\
\hline
\end{array}
$$
Subtract units: $4 - 1 = 3$
Subtract tens: $6 - 3 = 3$
Subtract hundreds: $8 - 2 = 6$
So, the result is $633$.
4. For the second problem (b):
$$
\begin{array}{r}
9748 \\
-2635 \\
\hline
\end{array}
$$
Subtract units: $8 - 5 = 3$
Subtract tens: $4 - 3 = 1$
Subtract hundreds: $7 - 6 = 1$
Subtract thousands: $9 - 2 = 7$
Result: $7113$
5. For the third problem (c):
$$
\begin{array}{r}
4693 \\
-2758 \\
\hline
\end{array}
$$
Subtract units: $3 - 8$ cannot do, borrow 1 from tens (9 becomes 8), units: $13 - 8 = 5$
Subtract tens: $8 - 5 = 3$
Subtract hundreds: $6 - 7$ cannot do, borrow 1 from thousands (4 becomes 3), hundreds: $16 - 7 = 9$
Subtract thousands: $3 - 2 = 1$
Result: $1935$
6. For the fourth problem (d):
$$
\begin{array}{r}
801 \\
-543 \\
\hline
\end{array}
$$
Subtract units: $1 - 3$ cannot do, borrow 1 from tens (0 becomes -1, so borrow from hundreds: 8 becomes 7, tens becomes 10, then borrow 1 to units: units $11 - 3 = 8$)
Subtract tens: $9 - 4 = 5$
Subtract hundreds: $7 - 5 = 2$
Result: $258$
7. For the fifth problem:
$$
\begin{array}{r}
949 \\
-308 \\
\hline
\end{array}
$$
Subtract units: $9 - 8 = 1$
Subtract tens: $4 - 0 = 4$
Subtract hundreds: $9 - 3 = 6$
Result: $641$
Final answers:
a. 633
b. 7113
c. 1935
d. 258
Extra example given:
$$
\begin{array}{r}
5489 \\
-925 \\
\hline
4564
\end{array}
$$
This confirms the subtraction method.
Vertical Subtraction D59E96
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