How to use estimation

Part ofMathematics and NumeracyProcesses in mathematicsYear 4

What is estimation?

A boy looks at a long piece of wood held in his arms across his body. Colourful question marks surround him.

Making a sensible guess or a rough calculation is known as estimation.

An estimate is not an exact calculation.

You can use estimation when you do not need to know an exact number or you can use it to quickly spot mistakes in calculations.

To learn how to estimate you need rounding skills.

A boy looks at a long piece of wood held in his arms across his body. Colourful question marks surround him.
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Activity: How to use estimation

Complete this interactive activity to understand how to use estimation. Then put your knowledge to the test.

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Rounding when estimating

Depending on how large the number is, or how near your estimation needs to be, you can round to 10, 100 or 1,000

Look at the calculation:

2,547 + 4,294

Let's use rounding to estimate the answer.

First, let's try rounding each number to the nearest 10.

A girl thinking. In her thought bubble text reads 'rounding to the nearest 10'.

The number 2,547 rounded to the nearest 10 is 2,550.

The number 4,294 rounded to the nearest 10 is 4,290.

2,550 + 4,290 = 6,840

Now let's try rounding to the nearest 100.

A boy thinking. In his thought bubble text reads 'rounding to the nearest 100'.

The number 2,547 rounded to the nearest 100 is 2,500.

The number 4,294 rounded to the nearest 100 is 4,300.

2,500 + 4,300 = 6,800

Finally, let's try rounding to the nearest 1,000.

A boy thinking. In his thought bubble text reads 'rounding to the nearest 1000'.

The number 2,547 rounded to the nearest 1,000 is 3,000.

The number 4,294 rounded to the nearest 1,000 is 4,000.

3,000 + 4,000 = 7,000

But, which estimation was the closest?

The answer to the calculation is:

At the top there is the following equation, 2,547 + 4,294 = 6,841. Beneath the equation it shows the number 6,841 to the nearest 1000 which is 7,000, to the nearest 100 which is 6,800 and to the nearest 10 which is 6,840.

Rounding to the nearest 10 is the closest, but rounding to the nearest 100 was also close to the correct calculation.

Rounding to the nearest 1,000 is the quickest, but it's not as close to the correct calculation.

You can choose whether to round to the nearest 10, 100 or 1,000 depending on how accurate you need to be.

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Example 1

A girl thinking while holding some banknotes.

Omi has saved £329.

Estimate to the nearest 100 how much Omi would have if she saved another £189.

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Example 2

A measuring jug filled with juice. There is 655ml of juice.

This jug contains 655ml of juice.

Estimate to the nearest 10 how much juice would be left if Lucas drank 333ml.

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Example 3

A child sits in a rocket ship.

An astronaut is traveling through space on a journey that is 4,967km long, and they have already traveled 3,657km.

Estimate to the nearest 100 how much further they need to go to reach their space station.

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Play our fun maths game Guardians: Defenders of Mathematica. game

Use your times tables and more maths skills to defeat monsters and reclaim the Kingdom of Mathematica

Play our fun maths game Guardians: Defenders of Mathematica
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