# Lesson video

In progress...

Hello.

My name is Mrs Behan.

And in this lesson I will be your teacher.

In this lesson we are going to learn, to compare and order four digit numbers.

Now you may be thinking, why is it important to compare and order for digit numbers? Well, if you're playing games, with a friend on the computer, you often win points in the thousands.

So to find out who the winner is, and who's second place and third place, and so on, you need to be able to put those numbers in order.

So I've got some friends, who have been playing a game.

Let's take a look and see if we can help them out.

Let's take a look at the lesson agenda.

We will be comparing four digit numbers.

We will then order four digit numbers.

We're going to make sure that throughout, we give reasons for our decisions.

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

And don't worry.

I will go through the answers with you.

I know you'll be keen to find out how you got on.

There are just a couple of things you'll need, to take part in this lesson.

Something 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.

Try to work in a quiet place, where you won't be disturbed.

To get us thinking about four digit numbers, we're going to begin by counting, in multiples of one thousands.

So you can see the green traffic light.

When the traffic light turns red, that's when we're going to start counting.

So starting from zero, counting in thousands.

Off you go.

Zero, One thousand, two thousand, three thousand.

You carry on.

And stop.

Ten thousand.

What a big number that is, that's got four zeros as placeholders.

Okay, this time we're going to start counting again.

But our first number is seven, not zero.

Let's see how that affects the numbers.

So off we go.

Seven.

One thousand and seven.

Two thousand and seven.

Three thousand and seven.

You carry on.

Ten thousand and seven.

And stop there.

Excellent job at warming yourself up.

Okay then.

Let's compare.

So just a reminder on some symbols, that you will have come across in the past.

This is a less than sign.

This is an equals to sign.

And this is a greater than sign.

So when we're using these we write, when it's less than we write the smaller number here, or the number the smallest value here.

And on this side, the number with the greatest value.

Opposite with the greater than, the number with the largest value goes here, and the number with the smallest value goes on this side.

So which number is greater? One thousand five hundred and twenty six, or one thousand five hundred and sixty two? One thousand five hundred and sixty two, is of course greater.

And I know one thousand five hundred and sixty two, is greater.

Although it has the same number, of thousands and hundreds, as one thousand five hundred and twenty six, it has more tens.

This here is how I ever justified my answer.

So I have decided that, this is the larger number, one thousand five hundred and sixty two, and this is the reason why.

So I've explained my thoughts.

So, I know that there are the same number of thousands in each number.

There are the same number of hundreds in each number.

So I had to look to the tens.

And I realised that actually this number here is greater.

So, one thousand five hundred and sixty two, is greater than one thousand five hundred and twenty six.

Okay.

Here are my friends who played a game.

This is what I mentioned earlier.

This is Anna and her friend, Junaid.

The two of them were playing a game, to make the greatest value.

So the first thing they had to do, was to draw a place value chart.

Just like the one that you can see on screen.

So, this is a little piece of card with numbers, one all the way round, Oh, zero all the way around to nine on there.

They have a little paperclip and then they put a pencil, they stick a pencil down in the centre, and they spin the paperclip.

And wherever the paperclip points to, is their number.

I'm letting you know this, because you might want to have a place value battle, with somebody at home.

Player One then chooses where to put the digit in the chat.

So if the spinner showed number four, they would decide whether they put the four here, here, here or here.

Player four will take four turns.

And that's because they need to make a four digit number.

Player two then repeats the steps.

So if Anna went first, Junaid would do all of those steps again for his turn.

Then, they need to compare their scores, or their values that they've written down, to see who could make the greatest number.

So let's see how they got on.

If you want in, draw a place value chart on your paper, and we'll play for Anna.

So I'm going to flash up on the screen, some of the different numbers, So four different numbers, that that Anna managed to get.

And I want you to decide where you will put them, in the place value chart.

So, five.

Eight.

One.

And six.

You will have written those numbers, inside your place value chart.

Now, Anna actually managed to make this number.

She made, eight thousand six hundred and fifty seven.

Is that more or less than you? Who would have won between you and Anna? I hope you would have won.

Okay, let's look at Junaid's score.

So if you want to have another go, draw a place value chart on your paper, and we will play with Junaid's numbers.

Four.

Seven.

Two.

And nine.

He managed to make, nine thousand seven hundred and forty two.

So now, our next step is to compare the numbers, to find out who the winner is.

The winner is, the person who made the largest possible value.

Junaid, in this case, was the winner.

And we know that because, nine thousand seven hundred and forty two is greater, than eight thousand six hundred and fifty one.

Which digits would you have compared first? Would you have compared the ones? No.

We would have compared the thousands.

So is it clear to say who the winner was? They decided to play again.

So Ana scored three.

Nine.

Five.

and seven.

Nine thousand seven hundred and fifty three.

Let's have a look at what Junaid got.

Junaid scored one.

Eight.

Seven.

And nine.

How would you arrange those numbers? Well, Junaid has arranged them like this.

Nine thousand eight hundred and seventy one.

So who is the winner? Out of Anna and Junaid? Is Junaid again, for the second time in a row.

And we know that because, nine thousand eight hundred and seventy one, is greater than nine thousand seven hundred and fifty three.

So last time, we started looking at a thousands.

In this example here, they are both the same.

Each number has the same number of thousands.

So what do we have to look at next? That's right.

We look into the hundreds place, and we compare the numbers in the hundreds place.

This one has eight hundred.

This one has seven hundred.

So we know that Junaid's number has won again.

Can you put Anna's scores in order? So Anna played again, and she managed to get, six thousand four hundred and twenty one.

Now I would like you to put them in descending order.

So I want you to begin with the highest number, and go down to the lowest number.

I'll wait here whilst you have go.

Write it down on a piece of paper.

Okay, then did you write down That she had, nine thousand seven hundred and fifty three first.

That was her top score.

And the little note here on the side said, 'Compare the digits in order from left to right.

' So if we were looking at our first digits, that's what we mean.

We're from the left and then go towards the right.

So which number had the greatest value? It was the nine thousand.

Nine thousand is greatest.

Followed by eight thousand six hundred and fifty one, and six thousand four hundred and twenty one, was her lowest score.

Let's put Junaid's score in order now.

So descending, we're starting from the highest, and going to the lowest.

His top score was, nine thousand eight hundred and seventy one.

Which score will come next? Nine thousand seven hundred and sixty three.

Why did we choose that one, and not nine thousand seven hundred and forty two? Well, we have to work from left to right.

We've already decided that, nine thousand eight hundred and seventy one, was the highest score.

Because even though they all have nine 1000s, the other two had seven hundreds.

So we've looked at the thousands place, we've looked at the hundreds place.

Now we need to have a look at the tens place.

This number has four tens.

And how many tens is in this number? Six tens.

So that's why we decided that this was the next one.

And Junaid's lowest score, was nine thousand seven hundred and forty two.

Okay.

They played again.

But this time they didn't want to get the greatest value.

They wanted to make the number that had the smallest value.

So if you're playing along, draw out another built place value chart.

Anna score four.

One.

Five.

And nine.

What's the lowest number you can make, with those numbers? Well, Anna managed to make this number, one thousand four hundred and fifty nine.

I think it was a sensible idea, her putting the one in the thousands column, don't you? Okay.

This is what Junaid won.

He's got four.

Seven.

Two.

And nine.

What's the lowest number he could make, using those four digits? This is what he came up with.

Two thousand four hundred and seventy nine.

Did he put it in the right places? I think he has made the best that he could, hasn't he? Because each one now, goes in ascending order.

Two is smaller than four, four is smaller than seven, seven is smaller than nine.

So this is the best order, that he could have put them in.

Who's the winner this time? It is Anna.

Well done, Anna.

So one thousand four hundred and fifty nine, is less than two thousand four hundred and seventy nine.

Our place value pair didn't stop there.

Draw another place value chart, if you're joining in with the next game.

Anna scored six.

One.

Three.

And five.

How would you arrange those numbers to make the lowest possible score? Well, Anna decided she would make, six thousand five hundred and thirty one.

I'm sure there is a much smaller number, that she could have made.

Perhaps one thousand three hundred and fifty six? Let's see what Junaid made.

One.

Eight.

Three.

And two.

How would you arrange those numbers, to get the smallest number? Well, Junaid decided that, he was going to make, eight thousand three hundred and twenty one.

He's also put his greatest value in the thousands column.

And I think it has cost him, because Anna is now the winner.

Well done, Anna.

Six thousand five hundred and thirty one, is less than eight thousand three hundred and twenty one.

Maybe Junaid should have made a smaller number.

So, can you order Anna's scores? But this time, we want it to go in the ascending order.

We want to start with the lowest, and go up to the highest score.

So look at Anna's scores.

Which is her lowest score? Remember to work from left to right.

Her lowest score was, one thousand four hundred and twenty two.

Even though these two both had 1000, these two both had four hundreds, we then had to look for the next two.

And we were looking to find out which had the least number of tens.

So we decided one thousand four hundred and twenty two.

Which is the next one? One thousand four hundred and fifty six, and six thousand five hundred and thirty one, is her highest score and we've put that at the bottom.

Let's see how.

Oh, I want you to explain your reasoning.

Well, I've kind of just done it for you.

And I did mention that we'll work from left, to right to compare the numbers.

So we looked at the thousands place, they were the same.

We looked at the hundreds place, they were the same.

And then we looked at the tens place.

And that's where we realised, that two is less than five.

So we put that first.

Okay, let's audit Junaid's scores.

And we need to make sure we explain our reasoning, along the way.

So I'll wait here for a moment.

Whilst you look at Junaid scores, and decide which one's going to go first.

I want the lowest score first.

Okay, so Junaid's lowest score was, two thousand four hundred and sixty nine.

You then should have got, two thousand four hundred and seventy nine, and then eight thousand three hundred and twenty one.

So let's explain our reasoning.

So we know that we can work from left to right.

So we compared the thousands and we know that the eight thousand is going to be the bottom, because that has the most number of thousands.

And we're working from the lowest, to the highest.

So we compared the thousand places, we compared the hundreds places and they were the same.

So we looked at the tens places.

And six tens is less than seven tens.

So we decided to put this number, two thousand four hundred and sixty nine first.

Now that you know how to compare and order numbers, have a go at this independent task.

You will see sets of three numbers, just like this one here.

I would like you to put these numbers in ascending order.

So that means the lowest number goes first.

And the highest number goes at the end of the set.

There are four different sets to have a go at.

On the right hand side of your screen, I want these numbers put in descending order.

So the greatest value is going to go here and then they're going to go lower and lower, to the end of the set.

There are four different sets of numbers, to compare on this side.

When you're ready, come back to me and we will have a look at the answers together.

Okay, let's go through the answers.

You should have something that looks like this.

Two thousand and fifty four, four thousand and twenty five, four thousand five hundred and twenty.

Second example.

One thousand six hundred and fifty two, two thousand five hundred and sixteen , six thousand five hundred and twenty one.

The next example.

Seven thousand eight hundred and nine, seven thousand eight hundred and ninety, seven thousand nine hundred and eight.

And the last one of the set.

One thousand nine hundred and thirty eight , three thousand one hundred and eighty nine, three thousand one hundred and ninety eight.

Did you notice anything about the numbers that I gave you to use? Well, all of the numbers had the same digits in them.

So in this first set, there was a four zero two and a five in every number.

The values of each was just made different.

Okay.

How did you get on putting numbers in descending order? So this means starting with the highest, the highest value and going down to lowest value.

One thousand five hundred and forty nine, one thousand four hundred and ninety five, one thousand four hundred and fifty nine.

Seven thousand eight hundred and forty five, seven thousand four hundred and eighty five, four thousand eight hundred and fifty six.

Eight thousand eight hundred and sixty six, six thousand eight hundred and ninety six, six thousand six hundred and eighty nine.

I made that one a little bit trickier, because you had two number sixs in there to use.

And the last question, the last set of numbers to order.

Should I say, eight thousand four hundred and seven, seven thousand and eighty four, and four thousand and seventy eight.

These ones again was slightly trickier, because you had a zero to use somewhere.

So you had to think about the value of, or where you wanted that zero to be used as a placeholder.