Subtract 8571 from 66742: 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 4 is less than 7

00:14 And now we'll borrow ten from hundreds for the tens

00:19 Which will change the hundreds from 7 to 6

00:22 In other words, now instead of 4 we'll have 14, in tens!

00:28 Subtract tens from tens, and we'll place in tens

00:32 Subtract hundreds from hundreds, and we'll place in hundreds

00:37 6 is less than 8

00:42 We'll borrow one hundred thousand from hundred thousands for the thousands

00:47 In other words, now instead of 6 we'll have 16, in thousands!

00:52 Subtract thousands from thousands, and we'll place in thousands

00:57 Place 0 in the missing digits

01:02 Subtract tens of thousands from tens of thousands, and we'll place

01:06 And this is the solution to the problem

Step-by-Step Solution

To solve this problem, we'll follow these steps:

Step 1: Write the numbers 66,742 and 8,571 vertically, aligning them by their right-hand digits.
Step 2: Start subtracting from the rightmost column (units):
- Subtract 1 from 2: The result is 1.
Step 3: Move to the tens column:
- Subtract 7 from 4. Since 4 is less than 7, we need to borrow 1 from the hundreds place, making it 14.
- Subtract 7 from 14: The result is 7.
Step 4: Move to the hundreds column, remembering we borrowed 1, leaving us with 6 in the hundreds place:
- Subtract 5 from 6: The result is 1.
Step 5: Move to the thousands column:
- Subtract 8 from 6. Since 6 is less than 8, borrow 1 from the ten-thousands place, making it 16.
- Subtract 8 from 16: The result is 8.
Step 6: Move to the ten-thousands column, remembering we borrowed 1, leaving us with 5:
- Subtract 0 from 5: The result is 5.

Therefore, the solution to the problem is $58,171$ .