Rounding Calculator
Round any number to a specified number of decimal places or significant figures. The calculator identifies the rounding digit, checks the next digit, and shows the decision at every step.
Rounded to 2 d.p.
3.14
How it works
Identify the 2nd decimal place
We are rounding to 2 decimal places. Look at the 3rd decimal place to decide whether to round up or down.
The deciding digit is 1
3.1416The digit in the 3th decimal place is 1. Since it is less than 5, round down (keep the digit as-is).
Result
3.14159 rounded to 2 decimal places is 3.14.
Result:3.14
The formula
Example substitution
Keep 2 decimal places. The 3rd digit is 1 (< 5), so round down: 3.14.
Worked examples
Round 3.14159 to 2 decimal places.
- 1Keep 2 d.p.: 3.14...
- 23rd digit: 1 < 5, round down
Round 2.785 to 2 decimal places.
- 1Keep 2 d.p.: 2.78...
- 23rd digit: 5 ≥ 5, round up
Round 4567 to 2 significant figures.
- 1First 2 s.f.: 45...
- 2Next digit: 6 ≥ 5, round up
- 3Fill with zeros: 4600
Frequently asked questions
How do you round to 2 decimal places?+
Look at the third decimal place. If it is 5 or more, round up the second decimal place; if less than 5, leave it unchanged.
What are significant figures?+
Significant figures are the meaningful digits in a number, starting from the first non-zero digit. E.g., 0.00450 has 3 significant figures.
How do you round 3.456 to 2 decimal places?+
3.456 rounded to 2 d.p. is 3.46 — the third decimal (6) is ≥ 5, so we round up.
How do you round to 3 significant figures?+
Find the third significant figure, look at the next digit, and apply the rounding rule. E.g., 45,678 to 3 s.f. = 45,700.