Subtract 275467 - 186382: 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 Subtract ones from ones, and place in ones

00:09 6 is less than 8

00:13 In this case, we borrow a hundred from the hundreds place, for the tens

00:17 Which will turn the hundreds from 0 to 3

00:21 And now we'll have 16 instead of 6, in tens!

00:26 Subtract tens from tens, and place in tens

00:31 Subtract hundreds from hundreds, and place in hundreds

00:36 5 is less than 6

00:40 Therefore we borrow ten thousand from the ten thousands place, for the thousands

00:44 Which will turn the ten thousands from 7 to 6

00:47 And now we'll have 15 instead of 5, in thousands!

00:51 Subtract thousands from thousands, and place in thousands

00:57 6 is less than 8

01:00 Therefore we borrow from the hundred thousands place, for the ten thousands

01:05 Which will turn the hundred thousands from 2 to 1

01:09 And now we'll have 16 instead of 6, in ten thousands!

01:12 Subtract ten thousands from ten thousands, and place

01:16 Subtract hundred thousands from hundred thousands, and place

01:20 And this is the solution to the problem

Step-by-Step Solution

To solve this problem, follow these steps for vertical subtraction:

Step 1: Start at the rightmost column (the units place) with $7 - 2$ . This equals $5$ .
Step 2: Move to the tens place with $6 - 8$ . Since 6 is smaller than 8, we need to borrow 1 from the hundreds column. This makes it $16 - 8 = 8$ .
Step 3: Adjust the hundreds column: originally $5$ , reduced by 1 due to borrowing, making it $4$ . Thus, $4 - 3 = 1$ .
Step 4: Next, consider the thousands column: $4 - 6$ . Since 4 is smaller than 6, borrow 1 from the ten thousand column, making it $14 - 6 = 8$ .
Step 5: The ten thousands column was $7$ , reduced by 1 due to borrowing. Thus $6 - 8$ requires further borrowing.
Step 6: Borrow from the hundred thousand column, changing the left remaining digits to $16 - 8 = 8$ .
Step 7: Finally, the hundred thousand column $2$ has been reduced to $16$ , with subtraction from zero now yielding: $1 - 1 = 0$ .

Following these steps, each digit ultimately gives the final answer:

$275467 - 186382 = 89085$

Thus, the solution to the problem is $89085$ .