Column Subtraction: Solve 945 minus 67 Step-by-Step

Question

amp;945amp;amp;  67amp;776amp; \begin{aligned} &945 \\ -& \\ &~~67 \\ &\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 5 is less than 7
00:09 Therefore we subtract 1 from the tens and add this amount to the ones
00:12 So now instead of 5 we will have 15
00:17 Subtract the ones from the ones plus ten
00:22 Place in the ones
00:26 3 is less than 6
00:31 Therefore we subtract 1 from the hundreds and add this amount to the tens
00:37 So now instead of 3 we will have 13
00:42 Subtract the tens from the tens plus ten
00:46 Place in the tens
00:50 Place 0 in the missing digits
00:54 Subtract hundreds from hundreds, and place in hundreds
00:57 And this is the solution to the question

Step-by-Step Solution

To solve this problem using vertical subtraction, follow these steps:

  • Step 1: Align the Numbers
    Write the numbers with their digits aligned by place value:
    94567776\begin{array}{c} 945 \\ - 67 \\ \underline{\phantom{776}} \end{array}
  • Step 2: Subtract the Units Place
    In the units place, we have 575 - 7. Since 5 is smaller than 7, we need to borrow from the tens place.
    Borrowing from the tens, the 4 becomes 3, and the 5 becomes 15.
    So, 157=815 - 7 = 8.
  • Step 3: Subtract the Tens Place
    Now, subtract the tens place: 363 - 6. Since 3 is smaller than 6, borrow from the hundreds place.
    The 9 becomes 8, and the 3 becomes 13 after borrowing.
    So, 136=713 - 6 = 7.
  • Step 4: Subtract the Hundreds Place
    Finally, subtract the hundreds place: 80=88 - 0 = 8, as there is no number in the hundreds place of 67.

Therefore, after performing the subtraction, we find that the result is 878878.

Answer

878