Video: Subtracting Four-Digit Numbers with Regrouping

Find the result of the following subtraction. 6882 − 4357

02:16

Video Transcript

Find the result of the following subtraction: 6,882 subtract 4,357.

In this question, we have to use the standard written method to subtract 4,357 from 6,882. Both of our numbers have four digits, which means they have a thousands digit, a hundreds digit, a tens digit, and a ones digit. And we always start by subtracting in the ones column first.

We could use a place value table and counters to help us model the number we’re subtracting from. 6,882 has six 1,000s, eight 100s, eight 10s, and two ones. And we’re going to subtract the ones first. We’ve got two ones, and we need to subtract seven. This is a problem because two is less than seven. We don’t have enough ones to subtract seven from. We’re going to need to regroup. We need to take one of our tens and exchange it for 10 ones. Now that we’ve got 12 ones, we can subtract seven, which leaves us with five ones.

Now we can subtract in the tens place. We’ve got seven 10s, and we need to subtract five. Seven 10s take away five 10s leaves us with two 10s. Now we move into the hundreds place. What is eight 100s take away three 100s? We’ve got five 100s left. Eight take away three is five. Now what we need to do is subtract the thousands. We’ve got six 1,000s, and we need to take away four, which leaves us with two 1,000s. 6,882 subtract 4,357 is 2,525.

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