Solve 13579 - 9756: Multi-digit Subtraction Practice

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 Now we subtract ones from ones, and we'll place in ones

00:09 Subtract tens from tens, and we'll place in tens

00:15 5 is less than 7

00:19 Therefore we borrow a thousand from thousands, for the hundreds

00:26 So now instead of 5 we'll have 15, in hundreds!

00:31 Subtract hundreds from hundreds, and we'll place in hundreds

00:41 2 is less than 9

00:45 We'll borrow a hundred thousand from hundred thousands for the thousands

00:51 So now instead of 2 we'll have 12, in thousands!

00:55 Subtract thousands from thousands, and we'll place in thousands

01:01 Place 0 in the missing digits

01:04 Subtract ten thousands from ten thousands, and we'll place

01:07 And this is the solution to the question

Step-by-Step Solution

To solve the subtraction problem $13579 - 9756$ , we will use the vertical subtraction method. Here are the steps:

Step 1: Align the numbers by their place values:

$\begin{array}{c} \phantom{-2}13579 \\ -\phantom{00}9756 \\ \hline \end{array}$

Step 2: Start from the rightmost column:

Step 3: Move to the tens place:

Step 4: Hundreds place:

Hundreds place: $5 - 7$ , since 5 is less than 7, we need to borrow 1 from the thousands place, making it $15 - 7 = 8$ .

Step 5: Thousands place (after borrowing):

Thousands place: Originally $3$ , after borrowing it becomes $2$ , so $2 - 9$ , we again need to borrow from ten-thousands place, thus $12 - 9 = 3$ .

Final step: Ten-thousands place (after all adjustments):

Ten-thousands place: Originally $1$ , after borrowing it became $0$ , so concludes with $0 - 0 = 0$ .

Therefore, by combining all steps, the result is:

$\begin{array}{c} \phantom{-}13579 \\ -\phantom{0}9756 \\ \hline \phantom{-9}3823 \\ \end{array}$

Hence, the solution to the subtraction problem is $\boxed{3823}$ .