Solve the Subtraction Problem: 89755 minus 4944

Question

amp;89755amp;amp;  4944amp;776amp; \begin{aligned} &89755 \\ -& \\ &~~4944 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Solution Steps

00:00 Solve
00:03 Each time consider a shortage of 2 digits, and then we'll place
00:06 Now we subtract ones from ones, and place in ones
00:09 Subtract tens from tens, and place in tens
00:13 7 is less than 9
00:17 Borrow a thousand from thousands for the hundreds
00:24 In other words, now instead of 7 we'll have 17, in hundreds!
00:29 Subtract hundreds from hundreds, and place in hundreds
00:35 Subtract thousands from thousands, and place in thousands
00:38 Place 0 in the missing digits
00:41 Subtract tens of thousands from tens of thousands, and place
00:44 And that's the solution to the question

Step-by-Step Solution

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

  • Step 1: Align the numerals of 89755 and 4944 vertically, such that the units, tens, hundreds, etc., are in line with each other.
  • Step 2: Begin by subtracting the rightmost digits, moving left. If the top digit is smaller than the bottom digit, perform borrowing operation from the next left column.

Let's perform the subtraction:

89755494484811\begin{array}{cccccc} & 8 & 9 & 7 & 5 & 5\\ - & & 4 & 9 & 4 & 4\\ \hline & 8 & 4 & 8 & 1 & 1\\ \end{array}

Here's how the subtraction is processed:

  • Subtract the rightmost digits: 54=15 - 4 = 1.
  • Next, in the tens column: 54=15 - 4 = 1.
  • In the hundreds column, 7 is smaller than 9, so we borrow 1 from the thousands place: 179=817 - 9 = 8.
  • In the thousands place, we adjust for borrowing: now 84=48 - 4 = 4.
  • Finally, in the ten thousands place: since no borrowing affected this initial value, 80=88 - 0 = 8.

Therefore, the result of the subtraction 89755494489755 - 4944 is 84811\mathbf{84811}.

Answer

84811