Solve Three-Digit Subtraction: 936 minus 768 in Vertical Format

Question

amp;936amp;amp;768amp;776amp; \begin{aligned} &936 \\ -& \\ &768 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Solution Steps

00:00 Solve
00:03 Each time we consider a shortage of 2 digits, and then we'll place
00:06 6 is less than 8
00:12 Therefore we'll subtract 1 from the tens and add this amount to the ones
00:20 So now instead of 6 we'll have 16
00:25 We'll subtract the ones from the ones plus ten
00:28 We'll place in the ones
00:34 2 is less than 6
00:44 Therefore we'll subtract 1 from the hundreds and add this amount to the tens
00:48 So now instead of 2 we'll have 12
00:52 We'll subtract the tens from the tens plus ten
00:59 We'll place in the tens
01:06 We'll subtract hundreds from hundreds, and place in hundreds
01:11 And this is the solution to the problem

Step-by-Step Solution

To solve this subtraction problem, we'll perform vertical subtraction, which involves subtracting each corresponding pair of digits from right to left.

  • Step 1: Arrange the numbers vertically.
    • Write 936 (the minuend) on top.
    • Write 768 (the subtrahend) below it, aligning the digits by place value.
  • Step 2: Subtract the ones place.
    Subtract 8 from 6. Since 8 is larger than 6, we need to borrow 1 from the tens place:
    • Decrease the digit in the tens place (from 3 to 2).
    • Increase the ones digit by 10 (making it 16).
    • 16 - 8 = 8, write 8 below the line.
  • Step 3: Subtract the tens place.
    Now subtract 6 from the adjusted tens digit (2):
    • Since 6 is larger than 2, borrow 1 from the hundreds place (from 9 to 8).
    • Increase the tens digit by 10 (making it 12).
    • 12 - 6 = 6, write 6 below the line.
  • Step 4: Subtract the hundreds place.
    Subtract 7 from the adjusted hundreds digit (8):
    • 8 - 7 = 1, write 1 below the line.

Thus, the result of the subtraction 936768936 - 768 is 168.

Answer

168