Round To Three Decimal Places - 3rd Level Maths Revision - BBC

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In this guide

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  2. Test
  1. What is rounding and why do we do it?
  2. Rounding to 3 decimal places (3 d.p)

Rounding to 3 decimal places (3 d.p)

To round to three decimal places (3 d.p.):

  1. Go to the decimal point.
  2. Count along the first 3 numbers to the right.
  3. Look at the next number (the 4th number after the decimal place).

If that number is:

  • 0 - 4: Remove it and everything to its right. The number in third decimal place stays the same. You have rounded down!
  • 5 - 9: Remove it and everything to its right. Now add 1 to the number in 3rd decimal place. You have rounded up!

Example

Round 2.97468 to 3 decimal places:

Image gallerySkip image gallery
  1. The decimal number 2.97468
    Image caption,

    Round this number to 3 decimal places

1 of 8

Previous imageNext imageSlide 1 of 8, The decimal number 2.97468, Round this number to 3 decimal placesEnd of image gallery

Now try it on your own:

Question

Round 14.53824 to 3 decimal places.

Show answer

Count along the first 3 numbers to the right of the decimal point: 8

Look at the next number (the 4th number after the decimal place): 2.

Because it falls between 0 - 4 we remove it and everything to its right. The 8 doesn't change.

The answer is: 14.538

Question

Round 21.213504 to 3 decimal places.

Show answer

Count along the first 3 numbers to the right of the decimal point: 3

Look at the next number (the 4th number after the decimal place): 5

Because it falls between 5 - 9 we remove it and everything to its right.

Now we add 1 to the number in 3rd decimal place: 3 + 1 = 4

The answer is: 21.214

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