Writing numbers in words and standard form

What we're going to do in this video is get some practice writing reasonably large numbers in different ways.

So, for example, let's say we had this number, and I'm going to not say it out loud on purpose. So this number right over here, what I want to do is think about how would I write this out in words. I encourage you to pause this video and try to figure that out on your own before we do it together.

Actually, take out paper and actually write this out. What would you how would you write this number? Well, now we can do it together. And actually, before I even write it out in words, I'll write this out in a place value table because it might help us, or it just helps us break down exactly what this number represents.

So just as a bit of a refresher, if you're not familiar with place value tables, you think of a column for the different place values. Here, we're going from the ones place all the way to the tens, hundreds, thousands, and ten thousands. So we're going to have a ten thousands place right over here, we're going to have a thousands place right over here, and this is just an 's' here.

So ten thousands, one thousands. Sometimes you'll see it written out. This is the hundreds place, this is the tens place, and this is the ones place. And so, how many ten thousands do we have? Actually, let's start at the ones place. How many ones do we have? We see it right there, we have five ones.

How many tens do we have? We see it right there, actually we have zero tens. How many hundreds do we have? We see it right there, six hundreds. How many thousands? We go to the thousands place and we see we have two thousands.

And then how many ten thousands do we have? Well, we see right there we have eight ten thousands. So now that we have this representation, let's write it out in words. You don't have to do this every time, but I'm just trying to make sure we see every possible way of thinking about it.

So you could say eight tens, two thousands, six hundreds, and five ones, but that's not exactly how people would say it out in words. What is typical is that people would say eighty-two thousand six hundred five.

So I'm going to write it that way. When you write in words, the standard way of doing it is actually to put commas wherever you would put the commas in. This is right over here written in standard form.

So what we would do is we would express this part right over here as 82,000. So let me write it out 82,000. Then put this comma there: 82,000, and then we have 600, and then we have no tens, so it's 605.

If there was a 110 here, that would have been 615, but this is just 605. I will do it in a different color. Let's do it in this blue color: so 82,000 and then six hundred five, and we're done.

Let's do another example. So now, I'm gonna write out a number in words, and I want you to write it in standard form. So the number is fifty thousand, fifty thousand, six hundred, thirty-one. I want you to write this in standard form, so it's really just write it out as a number and put commas in the appropriate places.

Pause this video and see if you can do that.

All right, now let's do it together. So this first part, 50,000, well we could just write that as—actually let's put the place values out here. So this is the ten thousands place, this is the thousands place, hundreds, tens, and ones.

So fifty thousand, so fifty thousands. You could write like this; you could say that's five ten thousands, or you could say this is fifty thousands. Then they say six hundred thirty-one, so 600, well that's 600s right over here, and then 31, that is 30 and 1, or 3 tens and 1 one.

3 tens and 1 one, or 31. And of course, you want to put your comma in the same place. You put your comma every three places. So the first time you do it, if you're moving from the right, you put it between the hundreds and the thousands place.

So there you have it. This is the same thing as fifty thousand six hundred thirty-one. This is that number written in standard form.