Question Video: Using Place Value to Write Numbers in Words and Digits Mathematics

Write eighty thousand, nine hundred twenty-seven in digits.

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Video Transcript

Write eighty thousand nine hundred twenty-seven in digits.

There are lots of ways to represent numbers. And in this question, we’re given a number that’s been written in words: eighty thousand nine hundred twenty-seven. And we’re asked to write this number a different way, in digits. How many digits do you think we’ll need? Or perhaps a better question is, which part of our number should we look at to work out how many digits we’ll need?

Just like any number, as we read it in words, we can see that the place value units get less and less. So, for example, the last number we say, which is the seven in 27, this actually has the smallest place value. This isn’t really a lot of help to us to work out how many digits we’re going to need. But if we look at the other end of our number, that’s the first part that we say, we can see a different story, 80,000. This is the part of the number with the largest place value.

Now, because we can see the word thousand, it might look like we’re talking about the thousands column here. Is this a four-digit number? Well, when we look how many thousands we need, it’s 80,000. We’re going to need five digits to show our number. Let’s draw a place value grid to show this.

If our number was 8,927, then we’d need to write the digit eight in the thousands place. Then it would be a four-digit number we’d be talking about. But we need to show 80,000. And so the digit eight needs to go in the ten thousands place. Eight lots of 10,000 are the same as 80,000. And notice that our number doesn’t say 81,000 or 85,000. It just says 80,000. So we need to put a zero in the thousands place.

Now we’re just left with the hundreds, tens, and ones, and we need to show 927. Well, we know how to do this, don’t we? That’s a nine in the hundreds place, a two in the tens place that represents 20, and a seven in the ones place. And the only other thing that’s useful to remember as we write our five-digit number is that it’s helpful to put a comma after the thousands digit and before the hundreds digit. It’s just a way of separating out the thousands, and it helps us to read the number quickly, 80,927.

We used a place value grid to show that this number contains eight 10,000s, zero 1,000s, nine 100s, two 10s, and seven ones. We can write the number using the digits eight-zero-nine-two-seven.

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