# Lesson Video: Column Subtraction of Numbers up to 10,000: No regrouping Mathematics

In this video, we will learn how use the standard algorithm to subtract numbers with up to four digits when we do not need to regroup.

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### Video Transcript

Column Subtraction of Numbers up to 10,000: No Regrouping

In this video, we’re going to learn how to use the standard algorithm or column subtraction to subtract numbers with up to four digits when we don’t need to regroup. When we’re subtracting larger numbers, like these four-digit numbers, it’s tricky to work the answer out in our heads. So we need to use a written method. We call this method column subtraction. These are columns. We call the written method column subtraction because columns are vertical. And when we use the column method, we write each digit in its correct place value and subtract vertically. The most important thing to remember is to make sure the digits line up correctly.

These are the ones digits, and we always start by subtracting those first. Then we subtract the tens, the hundreds, the thousands. And if we had a ten thousand digit, we’d subtract in the ten thousands column next. A good way to make sure that you write the digits in the correct place is to use squared paper. Now, we don’t get confused about which digits to subtract. We always subtract the ones first. The number 3,675 has five ones, and 2,342 has two ones. What is five take away two? It’s three. So we write our three in the ones column. We really have to be careful to make sure we write the digits in the correct place value.

Next, we subtract the tens. We have seven 10s, and we need to take away four of them. What is seven take away four? It’s three. Seven 10s take away four 10s leaves us with three 10s. Next, we subtract the hundreds. Six 100s take away three 100s leaves us with three 100s. And finally, we need to subtract the thousands. Three 1,000s take away two 1,000s leaves us with one 1,000. 3,675 take away 2,342 is 1,333. Let’s practice what we’ve learned by answering some questions now.

Use the place value counters to solve 3,243 take away 1,232. Hint: 3,243 has been shown in the place value table. What do you need to take away?

In this question, we have to subtract 1,232 from 3,243, and we’ve been given a place value table to help. This shows the number 3,243. When we’re subtracting with large numbers, like these two four-digit numbers, we need to use the standard written method. We need to write each of the numbers in their correct place value. We can see from the place value table that 3,243 has three ones, and we need to subtract two because 1,232 has two ones. The tens digit in the number 3,243 is four. So we’ve got four 10s, and we need to subtract the three 10s in the number 1,232. There are two 100s in the number 3,243, and we need to subtract two. And 3,243 has three 1,000s, 1,232 has one, so we’re subtracting one 1,000 from our three 1,000s.

When we use the standard written method or column subtraction, we always subtract the ones first. Let’s use our place value table and the counters to help. We’ve got three ones, and we need to subtract two. We know that three take away two is one. Now we can subtract in the tens place. We’ve got four 10s, and we need to take away three 10s: one, two, three. We’ve got one 10 left. On to the hundreds place, we’ve got two 100s, and we need to subtract two 100s. Here we go: one, two. We’ve got no 100s left.

Finally, we move into the thousands place. We’ve got three 1,000s, and we need to subtract one of them. And we know that three take away one leaves us with two 1,000s. 3,243 subtract 1,232 equals 2,011. We used column subtraction and our place value table and counters to help us subtract. First, we subtracted the ones, then the tens, the hundreds, and the thousands. 3,243 take away 1,232 is 2,011.

Use column subtraction to calculate the following: 6,458 subtract 3,226.

When we’re subtracting larger numbers, it helps to use a written method. When we use the column subtraction method, we subtract in columns, starting with the ones. Then we subtract in the tens column, the hundreds column, and the thousands column. We could use a place value table to help. The number we’re subtracting from is 6,458. This is a four-digit number. The six digit is worth six 1,000s, the four digit is worth four 100s, the five is worth five 10s, and the eight is worth eight ones. And we’re subtracting 3,226.

Let’s start by subtracting in the ones column. We’ve got eight ones, and we need to subtract six. We know that eight take away six is two, so we need to write our two in the ones column. Now we can move into the tens place. What is five 10s take away two 10s? We know that five take away two is three. So we need to write our three 10s in the tens place. Moving into the hundreds column, we’ve got four 100s and we need to take two away. And we know that four take away two leaves us with two 100s. So we write that in our hundreds place.

Finally, we can subtract the thousands: six 1,000s take away three 1,000s. We know that six take away three leaves us with three 1,000s. So let’s write that in the thousands place. 6,458 subtract 3,226 is 3,232. We used column subtraction to calculate the answer.

Use column subtraction to calculate the following: 7,594 take away 482.

When we use column subtraction, we subtract in columns. We start by subtracting the ones, then the tens, the hundreds, and then the thousands. Let’s subtract. What is four ones subtract two ones? Well, we know that four take away two is two, so we can write the answer in the ones column. Now we can subtract the tens. We’ve got nine 10s, and we need to take away eight 10s. Nine take away eight is one. So we’ve got one 10 left.

In the hundreds column, we’ve got five 100s and we need to take away four. Five take away four is one. So we’ve got one 100 left. And in the thousands place, we’ve got seven 1,000s and nothing to subtract, so we can just write the seven in the thousands place. 7,594 take away 482 is 7,112. We used column subtraction to calculate the answer.

What have we learned in this video? We’ve learned how to use the standard written method or column subtraction to subtract numbers up to 10,000. We also learned that we start subtracting in the ones column and then move into the tens, the hundreds, and thousands place.