﻿Hi everyone, I'm Mrs Crane, and welcome to today's lesson. How are you today? I hope you're well, and I hope you're ready for some maths learning. In today's lesson, we're going to be looking at the place value of each digit in a four digit number. What I'd like you to do for me is make sure that you've turned off all of your apps or anything else that might distract you on your devices. And then if you can, try and find somewhere nice and quiet, so that you're not going to be distracted in our learning today. I'll run through the agenda with you in a moment so you know exactly what we're learning, and I'll explain any equipment that you might need. So, when you're ready, let's get started. Okay then. We're going to run through the agenda of today's lesson. So we're going to start off by looking at the value of a digit. Then we're going to be exploring and recognising the different place value of different columns. Then we're going to be looking at when we can write numbers in words, and finally, it will be time for your independent task, but I'll be representing place value. And of course, we'll go through the answers together at the end of that. So let's get started. Today, you're going to need a pencil, maybe a rubber and a piece of paper, but then four digit numbers. So what can you say, or what do you notice on your screen? Have a little think. I can see that there are four columns here. One, two, three, four. And I can see each column is labelled with thousands, hundreds, tens, and ones. And if I look down this side of my screen here, I can see some representations. Now these are representations of Dienes. So pictures of Dienes, this is a ones Dienes. This is a tens Dienes. This is a hundreds Dienes, and this is a thousands Dienes. What we're going to do, first of all, is think about how we can make a four digit number. How does our column, how do our columns work for it? So we're going to start off in the ones column. So if I were to put nine ones in my ones column, that's straightforward. I can put them in here. I've just drawn that line in here so that I can show you with the written numbers underneath it, the number that's in my column. So here I've got nine ones. Ready to count with me? One, two, three, four, five, six, seven, eight, nine. Now, if I wanted to add another one to this column, how would it work kind of thing? Can I put another one in this column here? Let's try it. I've put another one here, that gives me 10 ones. I need to write that in a different way. I have to do something different and I have to regroup my 10 ones for one ten Dienes, because I can't put 10 ones here. When I go to my to here, it won't work because I have two digits and one column which doesn't work. So I have regrouped to my 10 ones or one group of ten, and then I can place it in-- in my work--in my writing--in my numbers--sorry-- at the bottom. So I can put in 10 here, like that. Now this time, I want to put in nine tens here. So let's check one, two, three, four, five, six, seven, eight, nine. And I want to put in one more ten. Can I do that? I've done it, but can I write that in here? Is that correct? Nope, it's not correct. I cannot put 10 groups of 10 in my tens column. I have to regroup 10 groups of 10 for one group of a hundred. So I'm going to put my one group of a hundred and in here. Then I can write it in here. I can put in one, so I have one hundred, and I have zero tens and zero ones. So these zeros kind of become what we call a place holder. We'll look at that word even more so later on in the lesson. Okay. Now, this time I want to put nine hundreds in my hundreds column. Let's count them. One, two, three, four, five, six, seven, eight, nine. Yup! I've got nine hundreds in that. And I want to put one more hundred in that. Oh no, I've done it again. I've put too many numbers, too many hundreds in my column. I need to do something called regrouping. So I need to cross those out and I need to regroup my 10 hundreds for thousand. Here it is, there's my 1000. Now, if I wanted to write this in here, I'm going to have a one here, and zeros here, because I'm showing I have one thousand, zero hundreds, zero tens, and zero ones. Okay then. Now, what I want you to do is have a look at these four numbers here: Four thousand, eight hundred two. Three thousand, two hundred eighty-four. Five thousand, four hundred twenty-six. And, two thousand, forty-six. What I want you to do is just have a think. How does the value of my two, the number two, change in each of those four numbers? How does the value of the number two change in each of the four numbers? Have a little think. Okay. Let's start off by looking at this number here: Four thousand, eight hundred two. The two here, represents two ones. I've got two ones Dienes here to show you. I'm going to go to our next number then: Three thousand, two hundred eighty-four. The two here represents two hundreds, Five thousand, four hundred twenty-six. The two here represents two tens And, two thousand, and forty-six. The two here represents two thousands. So even though there's a two in each number that two, and the value of that two changes depending on which column that it's in and which number, which value it represents. So here is the two representing the ones column. Here, my two represented two hundreds. Here, my two represents two tens. And here, my two represented two thousands. The same number can represent different amounts depending on which column it's in, within our numbers. And that's going to be really important as we go on with our learning today. Okay. So, now we're going to look at the value of each digit, and I've been given my number here. I've got a blank representation of my number here, and I've got my number partitioned here. So my number is four thousand, and fifty-six. So, when I'm looking at how many thousands, hundreds, and tens and ones, there are in my number, I can see there's four thousands, zero hundreds, this five tens, and this six ones, Why is it so important that I fill in this block, this box--sorry, if there's zero there? Why is that important? Well done to those of you that thought actually, if Mrs. Crane didn't fill in this box here, she's going to get confused when it comes to writing in her four-- she might put it into the wrong column. That zero is there as a place holder, that word that we looked at earlier in the session. The word was placeholder, so that's going to come in really, really helpful when it comes to us filling in and completing different representations. So, what I'm going to do now is represent this using Dienes. So, I'm going to start in my ones column. I've got six ones, so let's check: one, two, three, four, five, six. Fantastic! I should have five tens, lets see: one, two, three, four, five tens. Absolutely. Now. Oh no. I know that I should have nothing in this hundreds column. What have I accidentally done in my hundreds column? Well done those of you who are saying: you've put your thousands in the wrong column, miss! Silly me! So my hundreds column should have nothing in it. These four thousands here, need to be in the correct column. So I need to get rid of them in my hundreds column, like I've just done. I need to put them into the correct column. So on my Dienes model, it's just going to be nothing in my hundreds column. That's okay. It shows that it's zero, here. And in my thousands column, there will be four thousands. Okay. If you're feeling really confident now, what I'd like you to do is pause the screen, and have a go at drawing the Dienes that would go in the correct place value columns, and filling in the partitioning of our place value in the four columns: thousands, hundreds, tens, and ones. If you're not feeling so confident, that's okay, because we're going to go through this example together before I give you an example to prepare for it, okay? So, pause the screen now if you want to have go on your own, if you don't, don't worry. The number is three thousand, five hundred and two. When I first look at this, the first thing I've noticed is that there's a zero there. So I know I'm going to need a placeholder in one of my columns. I can see it, that zero is in the tens column, so I know that I'm going to need my zero here and I can make sure that that makes sense in a moment. So, let's have a go at filling it in then. So I know I've got two ones, so I'm going to put this here. I know I've got no tens, so I've not filled in that column. I've gone straight to my hundreds column to fill in my five hundred--one, two, three, four, five hundred. Then I'm going to look at my thousands. I know I've got three thousand, so I can fill in one, three thousands. Then if I'm filling this in I know that there are three thousands, five hundred zero tens and two ones in my number. Fantastic! So, today we're going to do a 'Let's Explore', and we're going to be recognising place value. So, for your 'Let's Explore' today, what I would like you to do is choose one of these Dienes representations, here. So these are three separate numbers, here. Choose the one that you want to represent, and you're going to have a go at drawing it or writing it in the place value chart like we've just been doing. My challenge for you today is can you write it into the sentence? And here's the sentence model here for you to have a go at. Pause the screen now, and have a go at today's 'Lets Explore'. Okay. Welcome back. What we're going to do now is going to discuss one of the examples from the left 'Let's Explore'. So, I've taken this example here, this number here, and now I'm choosing to use this example, and to write it into here, okay? So, I'm going to write it rather than draw it. You might have drawn it. That's absolutely fine. It doesn't matter. So here I've put zero in my ones column. Why have I put a zero in my ones column? Well done. I don't have any ones, and the ones Dienes in this number here, do I? I do have one ten, so I need one ten here. I do have one, two, three, four hundreds, so I need to put four hundreds here, and I do have one, two thousands, so I need to put my thousands here. Then when I write it into my frame I can say there are two thousands, four hundreds, one ten, and zero ones, making sure I put that zero there to show that there's nothing there, okay? Fantastic! Let's move on then and have a look at how we can identify four digit numbers when that, in words. So at the moment you can't see them in words. That's okay. We've got four different representations here. We've got it written in a place value chart. We're going to have Dienes in a place value chart, we're going to have it partitioned here. Here. And we're going to write our number in words here, okay? So, our number, let's start off by reading it all together is two thousand, seven hundreds and thirty six. Brilliant! Now we're going to have a go at putting that into our Dienes. So you can see here, I've put in six ones, one, two, three, four, five, six. I spend three tens on that. Fantastic! I've put in one, two, three, four, five, six, seven hundreds. And I've put in two thousands. So that's my number represented with Dienes. Now I can quite straightforward--I can do this bit quite eloquent, straightforward way, because I know there's two thousands, seven hundreds three tens and six ones. Now, this part we haven't looked at just yet. So I'm partitioning it into it's thousands, hundreds, tens, and ones, okay? So here's my whole number here: two thousand, seven hundreds and thirty six partitioned into two thousand, seven hundred, thirty, and six. Because if I added those all up, that would give me my two thousand, seven hundred and thirty-six, okay? Now this part is the new part that we haven't looked at yet, which is why we write it in word. So, as we say it, we would say two thousand, seven hundred and thirty-six. So we're going to write that how we would say it. So we would say two thousand, seven hundred and thirty six. So that's it written, okay? Now, if you're feeling really confident, you can use, but it's written to have a go at filling out the other different representations. If you're feeling confident, pause the screen now, and you can have a go at that. If you're not feeling so confident, don't worry. We're going to go through it together, okay? So, this time, as you've spotted, it's different because we've been given our number in words first. You've got to use that to work backwards to find out what our a number looks like when we write it in numbers with our Dienes. So, I know it's fifty-three. So under this three ones, fifty tells me that there are five tens, one, two, three, four, five, two hundred. How many hundreds are going to go in my hundreds column? Hold on. It's two hundred, so there's going to be two. And last, but not least, four thousand, I've got to have four thousands in my thousand columns to show my number three ones here. Now I can write it partitioned because I can say my number is two thous-- four thousand, sorry--two hundred and fifty-three partitioned is four thousand, two hundred, fifty, and three. And then I can write it in my place value grid with my four two, five, and three, representing the number on the column above. So four thousands, two hundreds, five tens, and three ones. Right, then. It's now time for your independent task today. I'm going to read through the different questions for you today, so you know what you're doing before you have a go. You're going to be representing the place value of four digit numbers. So, just like we've already looked at, you've got three questions and I'd like you to fill in the missing representations for the following four digit numbers. Have a look at where the number is and the representations. Use that to work through the other representations to help you. You've got question one, two, and three. What I'd like you to do is pause your video to complete your task. Okay. So we're going to go through the answers then. So here is our number here. We've got five thousand, and seventy-nine, so I need to fill in the other representations for this number. So I'm going to put in my nine ones Dienes. My seven tens Dienes. I'm going to leave my hundreds column blank because I've got zero hundreds. And I'm going to put my five thousands here. There are five thousands, zero hundreds, seven tens and nine ones. So if I partition my number again in a different way, I can show here, it's five thousand and seventy-nine, which is equal to five thousand, zero hundreds, seventy, and nine. And my number is five thousand, and seventy-nine. Question two then, has the number here, and we have to fill out the other representations here. There in my number, I'm told there are six thousands, two hundreds, five tens, and zero ones. So I'm going to fill out this part first. I've got six thousand here. I've got my two hundreds here, my five tens here, and my zero ones. My number is six thousand, two hundred and fifty. I can put that into my place value here, and I can write it here: six thousand, two hundred and fifty. Then I can show it in my Dienes here. I've got nothing in my ones column because I've got fifty. No ones. I've got five tens, my two hundreds, and I've got my six thousands. And my final number then, I've got it written in two different--represented, sorry-- in two different ways. I have it written here and I put it represented in a different way here. So my number is four thousand, two hundred and eighty-three. There were four thousands, two hundreds, eight tens, and three ones. So I could show that, here with my three ones, my eight tens, my two hundreds, and my four thousands. I can write that straight into my place value grid, here: four, two, eight, and three to represent Four thousand, two hundred, eighty--okay, so eight tens, and three ones. Then I can write it in here, so I can write my four thousand, two hundred and eighty three partitioned into four thousand, plus two hundred, plus eighty, plus three. If you'd like to, please ask your parent or carer to share your work today on Twitter, by tagging, @OakNational and #LearnwithOak. I've been really impressed with your work today. Now what I'd like you to do is using everything you've learned today, have a go at the final quiz. Thank you and hopefully we'll see you again soon. Bye!

Using what you have learnt in today's lesson, can you answer the following questions?

What 4-digit number do these Dienes represent?

The number is four thousand, one hundred and forty seven. Which of the following numbers in digits is the same number?

This is the number in digits, which is the correct answer in words?

Recognising the place value of each digit in a 4-digit number

In this lesson, we will look at 4-digit numbers, how to represent them in different ways and how to consider how many thousands, hundreds, tens and ones are in different numbers.

Maths

Y4 Maths

Key Stage 2

Year 4

Reasoning with 4-digit numbers

Number

THEME

UNIT

Ordering and comparing numbers beyond 1000

Ordering and comparing a set of numbers beyond 1000

Finding 10, 100 or 1000 more than a given number

Finding 10, 100 or 1000 less than a given number

Rounding numbers to the nearest 10

Rounding numbers to the nearest 100

Rounding numbers to the nearest 1000

Finding the odd one out

Applying and consolidating: Reasoning with 4-digit numbers

1785 > 1885

Using the digit cards, 3, 5, 7 and 8, which of the following numbers is the smallest number I can make?

If the target was to make a number closest to 2000, who has won?

I think of a number. I add 10, then add 100. My answer is 7820. What was my number?

4001 rounded to the nearest 10 is 4010

My number is 3740. Which of the following are the nearest two multiples of 1000?

From the following numbers, select the odd one out  because it has less than 4 hundreds...

When rounded to the nearest hundred, 2560 rounds to...

Always, sometimes or never... when I round to the nearest 10, only the digit in the tens column changes.

Lesson overview:Recognising the place value of each digit in a 4-digit number

Reasoning with 4-digit numbers: