Question Video: Subtracting Four-Digit Numbers Using a Place Value Counter Mathematics

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

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Video Transcript

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.

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