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The Royal Opera House has 2,256 seats. To the nearest 10, approximately how many seats are there?

Level 5-6 Numbers - Approximating

Learn how to estimate and round numbers in KS3 Maths. Approximating helps you work quickly and check answers for reasonableness in everyday calculations.

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Fascinating Fact:

A 9.8 m swim is basically 10 m. Five lengths is about 50 m, which is one lap of a standard running track straight.

In KS3 Maths, pupils learn to use approximation to simplify numbers for easier calculations. Approximating helps estimate answers quickly and check if results make sense without using exact values.

Key Terms

Approximation: An estimated value close to the exact number, used to simplify a calculation.
Rounding: Reducing a number to fewer digits to make it easier to work with, often to the nearest 10, 100, or whole number.
Estimation: A quick mental calculation to check if an answer is reasonable or close to the expected result.

Frequently Asked Questions (Click to see answers)

What does approximating mean in Maths?

Approximating means finding a number that is close enough to the exact answer to make calculations simpler, such as rounding 3.98 to 4.

Why do we use approximation in Maths?

Approximation helps when exact numbers are not needed. It allows you to make quick estimates and check if your answer seems reasonable.

What is the difference between estimation and rounding?

Rounding changes a number to a nearby simpler one, while estimation is a rough guess based on reasoning or experience, not exact calculation.

Try These Related Quizzes

1 .

The length of a football pitch is 110m to the nearest 10 metres. What is the smallest possible length it could be?

100

105

107

110

Remember to round up if the value is halfway!

2 .

To the nearest 10, round 4,483 and 4,999.

4,400 and 4,900

4,480 and 5,000

4,490 and 4,990

4,490 and 5,000

Be careful not to confuse 100s and 10s

3 .

By rounding to the nearest 10, what is the approximate answer to 79 x 22?

1,500

1,600

1,700

1,800

To approximate the answer, we need to round the numbers in the calculation. So 79 becomes 80 and 22 becomes 20. 80 x 20 = 1,600

4 .

By rounding 5,639 x 147 to the nearest 10, what is the approximate answer?

800,000

836,000

840,000

846,000

The calculation becomes 5,640 x 150 which equals 846,000

5 .

By rounding to the nearest 10, what is the approximate answer to 1,537 / 222?

7.2

7.4

7.5

Remember to round the numbers in the calculation. 1,540 / 220 = 7

6 .

A tombola holds 27,600 tickets to the nearest 100. What is the maximum number of tickets in the tombola?

27,600

27,649

27,650

27,700

One more ticket and it would be rounded up to 27,700!

7 .

To the nearest 100, round 6,691 and 468.

6,000 and 400

6,000 and 500

6,600 and 500

6,700 and 500

I hope you didn't round 6,691 up to 7,000!

8 .

To the nearest 100, round 4,483 and 4,999.

4,400 and 4,800

4,400 and 4,900

4,500 and 4,900

4,500 and 5,000

4,999 goes up 1 to 5,000 but 4,483 goes up 17 to 4,500

9 .

Give the answer to 7,743 / 5 to the nearest 100.

100

1,400

1,500

1,600

7,700 / 5 = 1,540 which is 1,500 to the nearest 100

10 .

The Royal Opera House has 2,256 seats. To the nearest 10, approximately how many seats are there?

2,000

2,200

2,260

2,270

6 is closer to 10 than it is to 0

You can find more about this topic by visiting BBC Bitesize - Rounding and estimating

Author: Frank Evans (Specialist 11 Plus Teacher and Tutor)

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