Answer: 1738
Explanation:
This problem involves basic subtraction of large numbers. The key concept here is the standard arithmetic operation of subtraction. No advanced theorems are necessary; it’s a straightforward calculation.
Steps:
- Write the subtraction problem:
$$5712 - 3984$$
- Subtract units:
2 – 4 cannot be done without borrowing. Borrow 1 from the tens place (which is 1):
- Borrow 1 (which is 10 in the units place): units become 12, tens decrease from 1 to 0.
- Now, subtract: 12 – 4 = 8.
- Subtract tens:
Tens place now is 0 (after borrowing), subtract 8:
0 – 8 cannot be done without borrowing. Borrow 1 from the hundreds place (which is 7):
- Hundreds decrease from 7 to 6, tens become 10.
- Now, subtract: 10 – 8 = 2.
- Subtract hundreds:
Hundreds now is 6, subtract 9:
6 – 9 cannot be done without borrowing. Borrow 1 from the thousands place (which is 5):
- Thousands decrease from 5 to 4, hundreds become 16.
- Now, subtract: 16 – 9 = 7.
- Subtract thousands:
Thousands now is 4, subtract 3:
4 – 3 = 1.
Final result:
$1738$
Summary:
The subtraction yields 1738 after carefully borrowing across digits.