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Level 5-6 Numbers - Approximating
The Royal Opera House has 2,256 seats. To the nearest 10, approximately how many seats are there?

Level 5-6 Numbers - Approximating

In KS3 Maths, you'll tackle problems with big numbers. Before diving into calculations, it's smart to have a rough idea of the answer, and that's where approximations come in.

Approximations give you a general sense of what the result might be. While you'll still do the actual calculations, dealing with rounded numbers makes things much easier, especially when they end in zeros.

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Rounding up or down to the nearest 10, 100, or 1,000 can simplify complex problems. For example, if you're asked to multiply 87 by 23, rounding makes it simpler: 90 x 20 = 1,800. It's not the exact answer (87 x 23 = 2,001), but it's close. Approximations help you check if your answers are on track.

Test your skill with approximations in the quiz below. Take your time, read each question carefully, and good luck with your KS3 Maths adventure!

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.
By rounding to the nearest 10, what is the approximate answer to 1,537 / 222?
7
7.2
7.4
7.5
Remember to round the numbers in the calculation. 1,540 / 220 = 7
3.
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!
4.
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
5.
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
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 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
8.
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
9.
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
10.
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
You can find more about this topic by visiting BBC Bitesize - Rounding and estimating

Author:  Frank Evans
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