# Lesson video

In progress...

Hello, my name is Mrs. Behan and for this lesson I will be your teacher.

In this lesson we are going to look at four digit numbers and begin to compare them.

To do this, we will use the less than, greater than, and equal symbols.

Let's begin by taking a look at the lesson agenda.

We will warm up by counting in 100s.

Then we will explore the value of 1000.

Then we'll be able to compare four digit numbers.

And at the end of the lesson, there will be an independent task for you to have a go at.

I know you'll be keen to find out how you got on, so I will go through the answers with you.

There are just a couple of things that you will need for this lesson.

Some things to write with, so a pencil or a pen, and something to write on.

If you don't have those things to hand now, just pause the video here whilst you go and get them.

And remember, try to work somewhere quiet where you won't be disturbed for the lesson.

So to begin with, we are going to warm up by counting in multiples of 100.

You can see a green traffic light down below.

When you see the red traffic light, I want you to stop.

Off we go, zero, 100, 200, 300, you carry on.

And stop there, our goal number which is 1000.

This time our starting number is 10, and we're going to count up in one hundreds from 10.

So the next number is going to be 110.

Are you ready? Let's go, 10, 110, 210, 310, 410, you carry on, and 1010.

I'm not sure if you might've been tricked by that one.

I've got a couple of representations for you to have a look at.

So this is a number line.

And what is the space between each interval? So between one number to the next, the gap is? 100 in each one.

So we're going to count in one hundreds looking at the number line.

Off we go 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000.

Now you might be thinking, "why does she keep making me count up in hundreds? We're supposed to be looking at number 1000." Well, I want you to try and appreciate how many hundreds there are in 1000.

So the next few representations will help you get a sense of how many hundreds there are in 1000.

You might notice something already about the digits that are in red.

Have you noticed they go up in ones? So one, two, three, four, five, six, seven, eight, nine and then 10, 10 hundreds.

That might be something for us to look at.

So here I've got a 10 frame and in each space there is a 100 place value counter.

Let's check by counting in one hundreds even.

100, 200, 300, 400, 500, 600, 700, 800, 900, 1000.

So there are ten one hundreds in 1000.

Count this one hundreds blocks.

So there's 100 block, two hundreds three hundreds, four hundreds, five hundreds, six hundreds, seven hundreds, eight hundreds, nine hundreds, 10 hundreds.

I've purposely said 10 hundreds, because now going to transform it.

So instead of it all being slices of 100, I'm going to put it all together.

So it's nice and compact, this is 1000.

So there were 10 hundreds in a thousand.

There is a hundred pence in one pound, but if we carry around going along every pound coin there is 100 pence.

What is the value of 10, 100 pences? That's right, it's 1000 pence.

Which is equal to 10 pounds.

So I hope by now you have understood and you can remember that there are 10 one hundreds in 1000.

We know how many hundreds they're in 1000, but how many tens are there in 1000? Well back to our number line, this is going to help us count the number of tens in each one multiple of 100 up to 1000.

So it'll go like this, zero, 10 tens, 20 tens and so on.

So you can see how it's highlighted, that we have 10 tens in there.

Okay, you go in with me.

Let's go, zero, 10 tens, 20 tens, 30 tens, 40 tens, 50 tens, 60 tens, 70 tens, 80 tens, 90 tens, 100 tens.

So we also know that they're 100 tens and 1000.

So let's have a look at our a thousand block.

How many tens are there? So you can see all packaged together, there are 100 tens in 1000.

Here's a thousand black again and just one is highlighted.

How many ones are there in 1000? Well in this little block there will be 1000 ones.

So we can see our place value blocks, our deans, and you can see the relationship how they build from the ones to the tens.

10 times greater is 100, and 10 times greater again makes us go to the thousands place.

So we're going to say these statements together.

When you say something out loud, it helps you to remember.

So together of we go.

1000 is one thousand.

1000 is 10 hundreds.

1000 is 100 tens.

And 1000 is 1000 ones.

It's important to know that all of these, even though if I took the pink away, it looks exactly the same.

It can be represented in items of greater or smaller value.

So we're going to do some compare work now.

Here are some symbols, have you seen these before? I would like to think so.

We have a less than sign, an equal to sign or symbol should I say, and a greater than symbol.

Less than, equal to and greater than.

Let's just explore those symbols a little bit more.

Okay, is this statement true? Two plus three is equal to five.

Is this part equal to this part? Yes, it is.

We've used the equal symbol to show that they are balanced.

So it's just like saying this part is equal to five and this part is equal to five.

So five is equal to five.

Why do we use this symbol? Well, if I represent five in towers, I've got a pink tower of five which represents this part and the green tower of five which represents this part.

We can see here that the two are the same size.

And if you notice they've just been sandwiched between and giant equal sign.

So I take those away and I write down five is equal to five.

So let's have a look at one of the other symbols now.

What's the value of this one? This is a three and a five.

Which one's greater? That's right the five is greater.

The three is less value.

So because the three is of a lesser value or smaller it fits more snugly into the less than sign.

So we now three is written before the five.

Three is less than five.

Okay, last symbol.

Now we're going to look at greater than.

So five is greater than three.

We can see that when we look at the towers to compare.

We know five can go first because it will fit in, three has to go afterwards 'cause that needs to go closer to this, into the closed up parts.

Imagine it being a cave, number three would have to go in first otherwise five would block it, number three whilst run into the cave.

So five is greater than three.

So in your mind, I want you to be really clear on how to use those comparison symbols.

Because they can be a little bit confusing but now you can picture what which value is going to go in first into the sign and which one will go in next.

So we know here that five is greater than three.

So is it true? Is it true that these deans here represent the number 1,325? Well, we have one 1000, three 100s, two 10s and five ones.

So yes, it is true that this value is represented here and it equals 1,325.

Have a look at the deans here and just take a moment to think, is this true? Do these deans represent this value? Let's have a look.

We have one thousand, we have 32 tens, if you're able to count them and five ones.

Let's check out our number.

We have one thousand, three 100s and two 10s.

Well actually that's like saying, "32 tens." 1000, 32 tens and five ones.

So again, it is correct.

Is this true? 1000 plus 300, plus 20, plus five is the same as 1,325? Of course it is, that is also true.

There are many different ways of representing four digit numbers.

Even this writing out as an expanded number sentence is one of them.

We've used the equals to symbol here as well to show that these two parts are balanced.

Okay, time now for you to do some comparison.

1,426, 2,316, how are we going to compare? Is 1,426 less than, equal to, or greater to 2,316? It is in fact less than.

So I've drawn things out here just to check.

So I can see I've got 1000 here and I've got two thousands here.

So if I was to say, which is, what is the most efficient way to compare these numbers? We would only be looking at the first thousand digit.

So we can start with the thousands and decide then which one is greater.

We know 1000 is less than 2000.

So we've used this sign here because one would be going on this side and then two would go on the outer side.

1000 is less than 2000.

Let's have another look at another example.

2,481 and 2,802.

Mm, what is the most efficient way to compare these numbers? Well, we've already looked at the thousands digit and they are the same.

Both digits have or both numbers have two thousands in there.

So we now need to look into the hundreds place.

So we're going to compare 400 with 800.

So, which is greater? The 800, which means that 2,481 is less than 2,802.

You get the hang of this now? Let's have a look at another example.

2,426 compared to 2,407.

What is the most efficient way to compare these numbers? Well let's do the same thing as we did in the last example.

We've checked out the thousands places and the 100 places and they are the same in both numbers.

So we need to go to? That's right, the tens place.

So if we look at the tens in this number here we have a value of two tens, over in this number we have zero tens.

There are no tens at all.

So which one is greater? That's right, this number is greater.

So 2,426 is greater than 2,407.

Okay, 2,428 compared to 2,421.

Easy peasy now that you know how.

What is the most efficient way to compare these numbers? So what should we do first? Well, let's look at the thousands place and the hundreds and the tens.

And in these two numbers, they are both the same.

So we now need to look at the? The ones place.

So if we compare the ones we can see which number is greater and it is eight ones.

So 2,428 is greater than 2,421.

You now have an efficient method to use when comparing four digit numbers, start from the left and work to the right.

Have a look at this one.

This time we have expanded the number, I'm not going to tell you what it is actually.

I was going to say it, but we've got 1,325 and we need to compare it to 1000 plus, 300 plus, 17.

That just have a little thing to yourself, how are you going to compare these numbers? Well, let's recombine these parts here.

If we combine that 1000 plus, 300 plus 17, is actually 1,317.

So we know that 1,325 is greater than 1,317.

Why? How do we know? The number of thousands is the same, the number of hundreds is the same but on this side, in this number here we have more tens than this number here.

Now that you know how to compare four digit numbers, here is your independent task.

In the task, I would like you to use the correct symbol to compare these numbers.

So you will use a greater than, less than or equals to symbol.

On the right hand side of your screen, you can see it a couple of word problems. Mo has 30 pounds, Jared has 300 pence.

Who has more? Ben has 20 boxes of 100 lollipops.

Jess has 200 boxes of 10 lollipops.

When you ready come back to me and we will look at the answers together.

I'm going to show you the correct symbols now and you can mark your own work.

The first symbol is equals to.

4,201 is less than 5,942.

The next symbol is greater than.

And we can tell straight away because 6,000 is more than 2000.

The next symbol is less than.

The two thousands of the same in each number but this number here has 100 whereas this one has eight.

3,215 is greater than 3,104, 3,184.

How can we tell? Well, even though both numbers have got 3000 this number here has got more hundreds.

So I only have to look to the hundreds to work it out.

5,922 is greater than 5,892.

Again, I can only, I can see the difference in the one hundreds place.

Let's look at the ones on this side.

4,150 is less than 4,158.

We've had to look right to the ones places here to figure out which one is more a greater.

8,561 is greater than 8,560.

The difference between these two numbers is just one.

3,152 is greater than 3,125.

So in this example, we have the same digits in each number but they're in different places.

We have five tens here and two tens here.

1000 is equal to 900 plus 100.

We know that 900 plus 100 more is a thousand.

So the two parts are equal.

1,580 is greater than 1,480.

If we combined this side, we would have 1,480.

So that's less than 1,580, so we need to use this symbol here.

2,315 is less than 2000 add 515.

We know that if this was recombined here we would have five hundreds in there.

This one only has three hundreds, so this number is less.

Mo has 30 pounds, Jared has 300 pence, who has more? Well, we know that Mo has more.

Mo would have 3000 pence in 30 pounds.

Ben has 20 boxes of 100 lollipops.

Jess has 200 boxes of 10 lollipops, who has more? Well actually, they both have the same.