Question Video: Subtracting Four-Digit Numbers with Regrouping Mathematics

Perform the following column subtraction: 9201 − 2468


Video Transcript

Perform the following column subtraction: 9,201 subtract 2,468.

In this question, we have to subtract a four-digit number from a four-digit number using the standard written method. We always start by subtracting in the ones column. 9,201 has one one, and 2,468 has eight ones. But one is less than eight. We don’t have enough ones to subtract eight from. So we need to regroup. So we need to look to the tens column. But there’s zero in the tens place. So we need to take a hundred from the hundreds column and add it to the tens column. So now we have 10 10s. We need to take one of these tens, so we’ve got nine left now, and exchange it for 10 ones.

Now that we’ve got 11 ones, we can subtract our eight ones. 11 take away eight is three. Now we can move into the tens place. We’ve got nine 10s, and we need to subtract six 10s. Nine take away six leaves us with three 10s. Moving into the hundreds column, we’ve got one 100, and we need to take away four 100s. We know that one is less than four, so we don’t have enough hundreds to subtract from. We’re going to need to exchange again. We need to take one of our thousands and exchange it for 10 100s. Now we’ve got 11 100s. We can subtract four. 11 100s take away four 100s leaves us with seven 100s. Finally, we can subtract in the thousands column. We’ve got eight 1,000s, and we need to subtract two 1,000s. And we know that eight take away two leaves us with six 1,000s. 9,201 subtract 2,468 equals 6,733.

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.