Lesson video

Hello, everyone, I'm Mrs. Crane and welcome to today's lesson.

In today's lesson, we're going to be rounding numbers to the nearest multiple of 1000.

How are you today? I hope you're having a good day and I hope you're ready for some rounding.

In a moment, I'll go through all of the equipment that we'll need today, so, please don't worry about that just now.

But please, if you can, could you turn off any notifications on your phone, tablet or whatever device you're using to do today's lesson on, and then if you can try and find somewhere nice and quiet in your home that's distraction free so that we can get on with today's lesson undisturbed.

When you're ready, let's begin.

Okay then, let's run through today's lesson agenda.

So, we're going to be using a counting stick.

Then we're going to be doing and Let's Explore which will be asked picking a number.

Then we're going to look at some number lines and then the independent task today will be can you round number to the nearest thousand.

And as always, we'll go through the answers together.

So, before we begin today, please make sure you've got yourself a pencil and some paper.

You haven't got those already.

Please pause the video now to go get those things.

Okay, we're ready, let's get started then.

So, today we're going to be rounding into multiples of 1000.

Before we do that, we need a quick recap and reminder.

What is a multiple of 1000? What are they, have a think, can you think of a multiple of a thousand? Is the number 5400 a multiple of a thousand? To get is or not? Well, I'll let you into secret, is not.

Because a multiple of thousand has to be a number that is in the thousands.

So, if I said 1000, 2000, 3000, 4000, 5000, 6000, those are all multiples of thousand.

If I've got hundreds in there, it's not a multiple of a thousand.

So, is the number 4000 multiple 1000? Yeah, absolutely, it is indeed, because if I count up my thousands, I would come across the number 4000 quite quickly.

So, that's hopefully hopefully going to help us a bit today when it comes to thinking about what those multiples of 1000 are.

So, let's get started by looking at the number 1827.

So, the first thing that I need to do today is identify the two nearest multiples of 1000.

So, let's imagine we want to place this number on our counting stick, on the lowest multiple 1000 here, or the higher multiple of 1000 here.

So, first, I'm going to put 1000 there, and I'm going to put 2000 there, because I know there's the 2000s that this number sits between.

Then, I can write that into my sentence here.

The nearest multiples of 1000 are 1000 and 2000.

I've marked on that, 1500, and I've marked that in place exactly halfway.

Why is that helpful today, why did you find that helpful? I find it helpful because I know that if it's halfway, I know that if it's further than this point to this point here, we are running up.

If it's lower than this point here, to down here, I'm going to run it down.

So, today we're going to be looking in the hundreds column.

If it's four or less in the hundreds column, we know we can round it down.

If it's five or more in the hundreds column, we know we need to round it up.

So, if I let care, I've got an eight in my hundreds column.

So, before I place on, do I need to round it up or down? Absolutely, I'm going to need to round it up to 2000.

Let's place on and see why.

So, it's roughly here because I have 1500, 1600, 1700, 1800, 1900, so, it's roughly here.

But look, is it closer just by looking to 2000 and 1000.

What I can clearly see, it's closer to 2000.

So, I can say 1827 rounded to my nearest thousand is 2000.

Now, I can use this symbol here, which shows me that it's approximately equal to.

Not an exact equal sign as you can see, it's a bit more wavy, shows that if I'm rounding it's approximately equal to 2000.

Okay, let's have a look at another number then.

This time my number is 7466.

Again, we're going to mark on those two nearest multiples of 1000.

Which are going to be 7000 and 8000, fantastic.

I'm going to put that in here, and then I'm going to mark on my halfway point.

My halfway point here, is 7500, is exactly here.

My number was 7466.

I know that 7400 go here, it's 100 less than 7500.

So, my number would be approximately here, perhaps based on my number line.

Now is that number closer to 7000 or 8000.

But I can clearly see it's closer to 7000.

So, I know I'm going to run down.

I can check that by looking at my hundreds.

There's a four in my hundreds column.

And if there's a four in my hundreds column, do I need to find up or down.

Fantastic, I need to round it down.

So, I can say 7466, rounded to the nearest thousand is 7000.

Again, can use my approximately equal sign to show that.

Now, if you're feeling confident, what I'd like you to do is using the number 4894, mark on those two numbers, multiples of 1000, mark on where your number goes, this number here and decide whether it rounds up or down.

You're not feeling so confident, don't worry.

We'll go through how to do it together now.

So, going to more common lower multiple of 1000, which is 4000.

My high multiple of 1000, which is 5000.

Now, I need to mark on my 4894.

Oh, I'm getting carried away, I need to put that into a sentence.

Then I can mark on my halfway point, it's going to help me, then I can mark on where it goes.

And then that's 4500, 4600, 4700, 4800, it's not quite 4900, I'm looking at that.

I can quite clearly see that my number is closer to 5000, but check my hundred, it's at eight, so I know that it needs to be rounded up.

So, I can say 4894 rounded to the nearest thousand is 5000.

Oh, sorry, again, I can put in my approximately equal sign here to show that.

Okay then, before we get on to, Let's Explore today, we're going to have a look at what you think would happen.

If, I needed to round the number 500 the nearest thousand, what do you think might happen? Pause the screen if you want to work out.

Let's go through together what would happen then, if we're rounding 500 to the nearest thousand.

So, I would have to mark on zero to this end of mine, and 1000 to this end of my counting stick.

Now, I can mark on my 500 here and now I need to use those information that we looked at earlier 'cause I need to look at my hundreds column My hundreds column has a five in it.

If it has a five in it, do I need to round up or down? Absolutely I need to round up.

So, my number 500 rounds up to the nearest thousand of 1000.

And there we go, can see it.

So, today's lesson explore is, pick a number.

Now, I'm going to hide myself for a moment, so you can see my counting stick.

You have got today these three fast raise on a challenge your challenge today are your bottom three numbers.

If you would like to look at these, that's absolutely fine.

If you don't want to, don't worry, please mark onto your counting stick to the nearest multiples of 1000.

Then locate your number and then decide if your number needs to be rounded up to the higher multiple of 1000 or down to the low multiple of 1000.

Please pause the screen now to have a go at today's Let's Explore I'm coming back, so you can see me again.

So, here's our counting stick, and here are our numbers here.

Sorry, what's happening to my face.

So, our challenge numbers were 97, 500 and 9500.

What made them difficult? Well, 97 is a two digit number.

So, the two less multiples of 1000 is zero and 1000.

Now, I know 97 is much closer to zero than it is 1000.

I don't have any numbers in my hundreds column.

So, I definitely know it's supposed to be closer.

500 that's one of those tricky ones we know it's exactly halfway.

We know that if there's a five in that hundred column we have to round it up, the same goes for 9500 but the thing that makes that 9500 a little bit more tricky, is the two multiples of 1000 are 9000 and 10,000.

So, we've just got to watch that because that goes into a five digit number.

Well done to having a go at Let's Explore today.

We're going to do next is have a look at some number lines.

So, my number is 8327.

First thing I need to do is mark on my two multiples of 1000, which are going to be 8000 and 9000.

Now, have remark on where 8327 goes.

Well I can count in my hundreds from my 8000, sorry, so you got 8100, 8200, 8300 and 8327 is going to be somewhere around here.

Now, looking at it which is closest to is it closes to 8000 or 9000? You clearly see, it's close to 8000.

And if I check my hundreds column there's a three.

I know if it's a three I round it down to 8000.

So, my answer 8000.

2500 is mark on those two multiples of 1000, 2000, 3000.

The mark are exactly halfway.

Now, I now know exactly halfway, we're rounding because there's a five in that hundreds column I round up to, fantastic, 3000.

Next one, if you want to have a go on your own, pause the video now to see if you can round 6500 to the nearest multiple of a 1000.

If you're not feeling so confident, don't worry.

We'll do that one together now.

It's going to be 6000 here, 7000 here, in a mark on halfway.

I can see there is a 5000 in my hundreds column so I need to round it up to 7000.

Okay, today's independent task is, can you round and number to the nearest thousand.

So, you can see what your task is.

I've just hidden myself for a moment.

I'll be back in a second.

So, here you go, you've got two numbers here for questions one or two, you've been given the nearest multiples of 1000 here, so you just need to locate the number, decide which is the near multiple of 1000 and write an answer.

For questions three, four, five and six, you need to firstly ,use underlines lines on right and the two closest multiples of 1000.

They haven't been written employed this time.

Then you've got to locate your number, then you've got to decide which is the nearest multiple of a 1000 and write in your answer.

The same four questions five and six.

You have a challenge today? My challenge for you today is, I have four number cards, here they are.

I add two numbers together and round this number to the nearest 1000.

My answer is 6000.

Which two cards from these here, could I have chosen? And a super challenge is, there's more than one combination.

Pause your video now to complete your task.

Don't forget to resume once you're finished, because we'll go through the answers together.

Okay, welcome back.

For questions one and two, let's see we had already got our numbers marked on.

So, you could see 4000 here, 5000 here, 4932 comes here, so, clearly I can see it rounds up to 5000.

532 here had zero and thousand mark time.

You can clearly see 532 goes here, just beyond that 500 point, so it's closer to 1000.

Next, we have questions three and four.

This time you have to mark your own multiples of 1000 in so, you'd have 7000 and 8000, then we need to mark on where 7623 goes which is approximately here.

Then we can see there's a six in our 100.

So we know we need to round up to 8000.

3500, then 3000 and 4000 go on, 3500 goes exactly in the middle of that it's one of those tricky ones we've looked at but because we know it's a 500 as a five and 100 we don't need to round it up to 4000.

6498 while it goes between 6000 and 7000 the mark on it goes just about here not quite yet, at 6500.

There's a four in that hundreds column, because there's more in the hundreds column we never need to round it down to 6000 3000 Oh, sorry, there we go.

3009 we've got 3000 and 4000.

Now 3009 goes really very close to 3000.

Perhaps mark on here 'cause I couldn't even really show you that one.

It's that close to 3000 that I can clearly see it 3000 and to check, I look in my hundreds column and this is zero, so I know I have to round that.

Now, my challenge to you today was I had four number cards here they are 1400, 2400, 3400 and 4400.

I add two of these cards together and I round that number to my nearest thousand.

My answer was 6000.

Which two cards could I have chosen? Wow, I could have chosen 2400 and 3400 because if I add them together, 400 and 400 makes 800 and 2000 and 3000 makes 5000 and 5800 rounds up to 6000.

Or I could have chosen 1400 and 4400 because I could take 400, add 400 which is 800.

One add four which is five.

So again, I've got 5800 to now rounds up to 6000.

Well done if you've got one of those, or even both of those combinations today, I'm very very impressed.

So, if you'd like to, please remember to ask a parent or carer to share your work today on Twitter by tagging @OakNational and using the #LearnwithOak.

I've been really impressed with your rounding today.

Great work.

I'm looking forward to seeing you again soon for some more maths.

Have a great day and bye bye.