Solve 13579 - 9756: Multi-digit Subtraction Practice

Video Solution

Solution Steps

00:08 Let's solve a math problem together.

00:11 We'll consider each pair of digits at a time.

00:15 First, subtract the ones place, and write the result in ones.

00:20 Next, subtract the tens place, and record it in tens.

00:25 Notice that 5 is less than 7.

00:28 So, let's borrow from thousands to help the hundreds.

00:34 Now, we have 15 instead of 5 in hundreds.

00:39 Subtract in the hundreds place, and write it down.

00:49 Here, 2 is less than 9.

00:53 Let's borrow from hundred thousands to help the thousands.

00:59 Now, it's 12 instead of 2 in thousands.

01:03 Subtract in the thousands place, and write it down.

01:09 Fill in missing digits with 0.

01:12 Subtract the ten thousands place, and record it.

01:18 And that's how we solve this problem, great job!

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 $\boxed{3823}$ .