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How to Subtract Four-Digit Numbers with Borrowing

First Example: 7,295 - 3,769

• The video begins with an introduction to subtracting two four-digit numbers using borrowing. The first example is 7,295 minus 3,769.

• The subtraction starts from the units place (5 - 9), which cannot be performed since 5 is smaller than 9. Therefore, borrowing is necessary.

• After borrowing from the left (the digit '9'), the '5' becomes '15'. Now, performing the operation gives a result of 6 (15 - 9 = 6).

• Moving to the tens place, we have (8 - 6). Since '9' was borrowed earlier and became '8', this subtraction results in '2'.

• In the hundreds place, after another borrowing process (from '7'), we calculate (12 - 7), resulting in '5'. Finally, for thousands place (6 - 3), we get a result of '3'.

• The final answer for this subtraction problem is confirmed as 3,526.

Second Example: Another Subtraction Process

• A second example follows where again we start by subtracting units: here it’s (5 - 7), which also requires borrowing.

• Borrowing transforms the initial value of ‘1’ into ‘0’, making it possible to perform (10 - 2), yielding a result of ‘8’.

• For the hundreds place now adjusted to ‘7’ due to previous borrowings; thus calculating (17 - 9), results in ‘8’.

• Finally addressing thousands with adjustments made from prior steps leads us through another calculation that confirms our final answer for this example as well.