Year 4 · Numbers to 10,000

Rounding to 10, 100 and 1,000

Round any number to the nearest 10, 100 or 1000

20 minutes4 checks6 exit questionsNational curriculum objective

Lesson overview

What you'll learn in this lesson

Round any number to the nearest 10, 100 or 1000

Key learning points

  • • Picture the number line
  • • The digit that decides
  • • Nearest 1,000
  • • Why bother?

This lesson at a glance

  • 20 minutes
  • 19 parts to scroll through
  • 4 quick checks
  • No marked quiz yet
  • Gentle pace: short sittings with pauses

Words to know

numbernearestpicturedecidesbother

Scroll down — the lesson carries on below

Part 1 of 19 · Discover5%
1

Watch & discover

Part 1 of 19

Watch first

Rounding to 10, 100 and 1,000

Watch how ones build into tens, hundreds, thousands and beyond.

Do it for real

The practicals below use what the film shows, with a full method you can follow at home.

In a nutshell

Round any number to the nearest 10, 100 or 1000

2

What you already know

Part 2 of 19

Before we start

What you already know

You know the place value of each digit in a four-digit number.

3

Key words

Part 3 of 19

Key words

Words you'll need today

round
Change a number to the nearest ten, hundred or thousand.
nearest
The one it is closest to on the number line.
halfway
Exactly in the middle — we always round these up.
4

Learning cycle

Part 4 of 19

Learning cycle 1 of 2

Part 1 — Nearest 10 and 100

A short piece of teaching, then a check to make sure it has landed.

5

Explore the idea

Part 5 of 19

Learn

Picture the number line

To round 67 to the nearest 10, think of the two tens either side: 60 and 70. 67 is closer to 70, so 67 rounds to 70. Drawing a quick line with the two neighbours on it never fails, and it stops you guessing.

6

Explore the idea

Part 6 of 19

Learn

The digit that decides

There is a shortcut. To round to the nearest 10, look at the ones digit: 0 to 4 rounds down, 5 to 9 rounds up. To round to the nearest 100, look at the tens digit instead. So 342 rounds to 300 (the 4 says down) and 371 rounds to 400 (the 7 says up).

7

Quick check

Part 7 of 19

Quick check

Round 78 to the nearest 10.

8

Quick check

Part 8 of 19

Quick check

Round 461 to the nearest 100.

9

Reset break

Part 9 of 19

Pause

That's sitting 1 of 2 done

Stretch, get a drink, look out of the window. There is no timer and nothing is counting down — your place is saved, so you can come back in five minutes or tomorrow.

Stop here for now
10

Learning cycle

Part 10 of 19

Learning cycle 2 of 2

Part 2 — Nearest 1,000 and real life

A short piece of teaching, then a check to make sure it has landed.

11

Explore the idea

Part 11 of 19

Learn

Nearest 1,000

Now look at the hundreds digit. 6,481 has 4 hundreds, so it rounds down to 6,000. 6,502 has 5 hundreds, so it rounds up to 7,000. Exactly halfway, like 6,500, always rounds up — that is the rule everyone agrees on so we all get the same answer.

12

Explore the idea

Part 12 of 19

Learn

Why bother?

A crowd of 4,873 gets reported as 'nearly 5,000'. A £2,190 car is 'about £2,000'. Rounding also checks your working: if you calculate 412 + 389 and get 1,801, rounding says the answer should be about 400 + 400 = 800, so you know something has gone wrong.

13

Quick check

Part 13 of 19

Quick check

Round 3,650 to the nearest 1,000.

14

Quick check

Part 14 of 19

Quick check

Which number rounds to 200 to the nearest 100?

15

Common mix-ups

Part 15 of 19

Common mix-ups

Things people often get wrong

  • Looking at the wrong digit — for the nearest 100 you check the tens, not the ones.
  • Rounding 6,500 down. Halfway always goes up.
  • Forgetting the zeros: 342 to the nearest 100 is 300, not 3.
16

Challenge round

Part 16 of 19

Game · Sort it

Which of these are true?

Drag each card into the right column. Tap a card first if dragging is fiddly.

True

Not true

17

Challenge round

Part 17 of 19

Game · Fill the gaps

Finish the sentences

Choose the word that belongs in each gap.

To round 67 to the ____ 10, think of the two tens either side: 60 and 70.

18

Mastery quiz

Part 18 of 19

No quiz for this one

This lesson has no marked quiz attached yet.

19

Lesson round-up

Part 19 of 19

Lesson round-up

Ready when you are

Quiz score

Not sat

Games

Not played

Points this lesson

0

Best run

0 in a row

Luna: 0 out of 4 on the practice checks. Only if you feel up to it — one more?

Ask Luna

Do the work

Your written work for this lesson

This is the part you'd do in your book at school. Pick the pieces below, write here or on paper, and photograph anything you draw or work out.

Article

The cost of a school trip

A school is planning a trip to a wildlife park. The coach costs £480 however many people go. Entry costs £9.50 for each pupil and each adult goes free. The school says every pupil must pay the same amount, and the trip must not lose money.

If 60 pupils go, the coach works out at £8 each, so the total for each pupil is £17.50. If only 40 pupils go, the coach works out at £12 each, so the price rises to £21.50. The teacher explains that the coach is a fixed cost and the entry is a cost per person — which is why the price per pupil changes when the number changes.

The school decides to charge £20 and to use anything left over for a second trip later in the year.

Written for Good Learning Co.

Reading questions

  1. Work out the total cost of the trip if 50 pupils go.
  2. Show why the price per pupil falls when more pupils go, using numbers.
  3. At £20 each, how many pupils must go before the trip makes money? Show your working.
  • Working out

    Working out

    Do the practice questions on paper, showing every step — not just the answer. Mark them yourself and circle anything you got wrong.

    10–15 questions

  • Worked example, explained

    Writing

    Copy one question out and write underneath, in words, why each step works.

    1 question, 4–5 sentences

  • Problem in words

    Working out

    Write your own real-life problem that uses today's method, then solve it.

    1 problem + solution

Saved as you type.

Part 1 of 19 · Watch & discover

Next

Back to your Year 4 units, or a few minutes of quick practice.

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