Solve Vertical Subtraction: 576 minus 8

Question

amp;576amp;amp;    8amp;776amp; \begin{aligned} &576 \\ -& \\ &~~~~8 \\ &\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
00:09 Therefore we borrow ten from the tens column for the ones place
00:12 Which will turn the tens from 7 to 6
00:15 And now instead of 6 we'll have 16 in the ones place!
00:19 Subtract ones from ones, and place in ones
00:24 Place 0 in the missing digits
00:27 Subtract tens from tens, and place in tens
00:30 Place 0 in the missing digits
00:33 Subtract hundreds from hundreds, and place in hundreds
00:36 And this is the solution to the problem

Step-by-Step Solution

To solve this problem, we will perform subtraction using the vertical method:

  • Step 1: Set up the subtraction problem:
    Write the minuend, 576, above the subtrahend, 8, aligning the digits by place value:

576   8776 \begin{aligned} &576 \\ -& \\ &~~~8 \\ &\underline{\phantom{776}} \end{aligned}

  • Step 2: Start with the ones column:
    Since we have 6 in the ones column of 576, we don't need to regroup:

The subtraction becomes 68 6 - 8 , which is impossible as we cannot subtract a larger number from a smaller number without regrouping.

  • Step 3: Move to the tens column.
    Since we have 7 tens in 576, we can regroup one ten to the ones column:
  • Change the 7 in the tens place to 6 and turn the 6 in the ones place into 16.
  • Now subtract 16 ones - 8 ones = 8 ones.

The subtraction in the ones column now reads 16 - 8 = 8.

  • Step 4: Subtract the tens column:
    After regrouping, the tens column subtraction becomes 6 (in tens from 576) - 0 (in tens from 8):

60=6 6 - 0 = 6

  • Step 5: Subtract the hundreds column:
    The hundreds remain unchanged as the subtrahend does not have hundreds:

50=5 5 - 0 = 5

The subtraction is complete: 5768=568 576 - 8 = 568 .

Therefore, the solution to the problem is 568 568 .

Answer

568