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Arithmetic & Numbers

Rounding Calculator

Enter a number, choose how to round, and see the digit that decides the result. Rounding is done on the decimal digits themselves, so 1.005 rounds to 1.01 as people expect.

Updated October 3, 2026Written and reviewed by Mateuss M.Method: how we calculate

Try an example:
Answer3.142
Step-by-step working 3 steps
  1. 1
    The number
    3.14159
  2. 2
    Look at digit 4 after the point
    Next digit is 5  →  round up

    Digits 5 to 9 round up; 0 to 4 round down.

  3. 3
    Result
    3.14159 → 3.142

How to use the rounding calculator

  1. Type the number.
  2. Choose decimal places, significant figures or nearest multiple.
  3. Enter how many or which multiple.
  4. Read the result and the deciding digit.

Rounding rules

Look at the first digit you will drop
5 to 9 → round up;  0 to 4 → keep
Nearest multiple n: round(x ÷ n) × n

This calculator rounds halves away from zero (the common school rule).

Worked examples

Each example below is generated by the same calculator you used above, so the working always matches the answer.

3.14159 to 3 dp
Answer3.142
Step-by-step working 3 steps
  1. 1
    The number
    3.14159
  2. 2
    Look at digit 4 after the point
    Next digit is 5  →  round up

    Digits 5 to 9 round up; 0 to 4 round down.

  3. 3
    Result
    3.14159 → 3.142
1.005 to 2 dp
Answer1.01
Step-by-step working 3 steps
  1. 1
    The number
    1.005
  2. 2
    Look at digit 3 after the point
    Next digit is 5  →  round up

    Digits 5 to 9 round up; 0 to 4 round down.

  3. 3
    Result
    1.005 → 1.01
0.004567 to 3 s.f.
Answer0.00457
Step-by-step working 3 steps
  1. 1
    The number
    0.004567
  2. 2
    Find the first significant digit

    The first non-zero digit sits at the 10^-3 place, so 3 significant figures means rounding at the 10^-5 place.

  3. 3
    Result
    0.004567 → 0.00457
2750 to nearest 100
Answer2800
Step-by-step working 3 steps
  1. 1
    The number
    2750
  2. 2
    Divide, round to a whole number, multiply back
    2750 ÷ 100 = 27.5
round → 28
× 100 = 2800
  3. 3
    Result
    2750 → 2800

Common mistakes to avoid

Counting leading zeros as significant figures

In 0.004567 the first significant figure is 4.

Rounding in stages

Round once from the original number, not repeatedly (3.4499 → 3.45 → 3.5 is wrong).

Dropping needed trailing zeros

2.50 to 2 dp keeps the zero to show the precision.

Frequently asked questions

What about banker’s rounding?

Some software rounds .5 to the nearest even number. This tool follows the school convention (half away from zero).