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Writing numbers in words and standard form

CCSS Math: 4.NBT.A.2

Video transcript

- 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 wanna do is think about how would I write this out in words? And I encourage you to pause this video and try to figure that out on your own before we do it together. And if you take out paper and actually write this out, how would you write this number? Well now, we can do it together. Actually before I even write it out in words, I'll write this out in a place value table 'cause 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 and here we're going from the ones place all the way to 10s, 1,000s, 10,000s, so we're going to have a 10,0000s place right over here. We're going to have a 1,000s place right over here. This is just an S here, so ten thousands, one thousands. Sometimes you'll see it written out. This is the 100s place. This is the 10s place. And this is the ones place. And so, how many 10,000s do we have? Actually, let's start at the ones place. How many ones do we have? We see it right here. We have five ones. How many 10s do we have? We see it right there, actually, we have zero 10s. How many 100s do we have? We see it right there, six 100s. How many 1,000s? We go to the 1,000s place and we see we have two 1,000s. And then, how many 10,000s we have? Well, we see right there, we have eight 10,000s. So now that we have this representation, let's write it out in words and you don't have to do this every time, but I am just trying to make sure we see every possible way of thinking about it. So, you could say eight 10s, two 1,000s, six 100s, and five ones, but that's not exactly how people would say it out in words. What is typical is that people would say 82 1,000s, 600 and five. And so I'm gonna write it that way. And when you write it out in words, the standard way of doing it is actually put commas wherever you 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 eighty-two thousand, so let me write it out. Eighty two thousand. And then, put this comma there. Eighty two thousand, comma, and then we have 600 and then we have no 10s, so it's 605. If there was a one 10 here, then it would have been 615, but this is just 605. And so I will do it in a different color. Let's do it in this blue color. So eighty-two thousand, 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, six hundred thirty-one. And 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, fifty thousand, well, we could just write that as, actually, let's put the place values out here, so there's a 10,000s place, this is a 1,000s place, 100s, 10s, and ones. So, fifty thousand, so 50 1,000s, you could write like this, you could say that's five 10,000s, or you could say this is 50 1,000s. Then they say six hundred thirty-one. So, six hundred, well that's six 100s right over here and then thirty-one, that is thirty and one, or three 10s and one one, three 10s and one one, or 31. And of course, you wanna put your comma in the same place, and 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 100s and the 1,000s place. So, there you have it. This is the same thing as 50,631. This is that number written in stand form.