Solve 3321 minus 145: Column Subtraction Practice

Question

amp;3321amp;amp;  145amp;776amp; \begin{aligned} &3321 \\ -& \\ &~~145 \\ &\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 put
00:09 1 less than 5
00:15 That means now instead of 1 we will have 11
00:20 Subtract the ones from the ones plus ten
00:23 Put in ones place
00:27 1 less than 4
00:31 Therefore we subtract 1 from hundreds, and add this sum to tens
00:36 That means now instead of 1 we will have 11
00:41 Subtract the tens from the tens plus ten
00:44 Put in tens place
00:48 Subtract hundreds from hundreds, and put in hundreds place
00:51 Put 0 in the missing digits
00:54 Subtract thousands from thousands, and put in thousands place
00:57 And this is the solution to the question

Step-by-Step Solution

To solve the problem 33211453321 - 145, we need to conduct vertical subtraction step by step. Let's proceed through each digit from right to left:

  • Units Place:
    Current digits: 1 (from 3321) and 5 (from 145).
    We need to subtract 5 from 1, which requires borrowing as 1 is less than 5.
    1: Borrow from tens place (2 becomes 1), making this 11.
    Now calculate: 115=611 - 5 = 6.
  • Tens Place:
    Current digits: 1 (left after borrowing from 2) and 4 (from 145).
    We need to subtract 4 from 1, which means we borrow as 1 is less than 4.
    21: Borrow from hundreds place (3 becomes 2), making this 11.
    Then calculate: 114=711 - 4 = 7.
  • Hundreds Place:
    Current digits: 2 (after borrowing from 3) and 1 (from 145).
    Now calculate: 21=12 - 1 = 1.
  • Thousands Place:
    Current digits: 3 (minuend) and no digit in subtrahend at this place.
    So, the result is unchanged: 30=33 - 0 = 3.

By following these step-by-step calculations, the result is 3321145=31763321 - 145 = 3176.

Therefore, the final difference is 31763176.

Answer

3176