Solve Vertical Subtraction: 4176 minus 2197

To solve this problem, we will subtract 2197 from 4176 using vertical subtraction. Here are the steps we'll follow:

• Arrange the two numbers in a vertical format, ensuring the digits are aligned by their place value.
• Subtract starting from the rightmost digit (ones place) to the leftmost digit (thousands place), borrowing from the column to the left if the top digit is smaller than the bottom digit.

Let's carry out each step:

Step 1: Subtract the ones digit. The first number 4176 has 6 in the ones place, and the second number 2197 has 7. Since 6 is less than 7, we need to borrow from the tens place.

Borrow 1 from the tens place (turning 7 into 6), making 16 in the ones place:
16 - 7 = 9
Write 9 in the result's ones place.

Step 2: Subtract the tens digit. After borrowing, the tens place now has the digit 6 in our minuend. The subtrahend's tens digit is 9, and since 6 is less than 9, we borrow again from the hundreds place.

Borrow 1 from the hundreds place (turning 1 into 0), making 16 in the tens place:
16 - 9 = 7
Write 7 in the result's tens place.

Step 3: Subtract the hundreds digit. Now in the minuend, we have 0 in the hundreds place, and the subtrahend has 1. Again, we need to borrow from the thousands place.

Borrow 1 from the thousands place (turning 4 into 3), making 10 in the hundreds place:
10 - 1 = 9
Write 9 in the result's hundreds place.

Step 4: Subtract the thousands digit. Finally, subtract the thousands place:
3 (adjusted from borrowing) - 2 = 1
Write 1 in the result's thousands place.

Putting it all together, the result of the subtraction is:

The final answer is $1979$.