Solve the Subtraction Problem: 89755 minus 4944

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:

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

Here's how the subtraction is processed:

Subtract the rightmost digits: $5 - 4 = 1$ .
Next, in the tens column: $5 - 4 = 1$ .
In the hundreds column, 7 is smaller than 9, so we borrow 1 from the thousands place: $17 - 9 = 8$ .
In the thousands place, we adjust for borrowing: now $8 - 4 = 4$ .
Finally, in the ten thousands place: since no borrowing affected this initial value, $8 - 0 = 8$ .

Therefore, the result of the subtraction $89755 - 4944$ is $\mathbf{84811}$ .