Rounding Calculator

The rounding calculator rounds whole numbers and decimals to the nearest thousand, hundred, ten, one, tenth, hundredth, thousandth or ten-thousandth. It shows which digit decides the rounding and also lists the number rounded to every place.

The rounding rule

1. Find the digit in the place you are rounding to.
2. Look at the digit to its right:
   • if it is 0, 1, 2, 3 or 4, the rounding digit stays the same (round down);
   • if it is 5, 6, 7, 8 or 9, the rounding digit goes up by 1 (round up).
3. All digits to the right of the rounding place become zeros in the whole part and are dropped in the decimal part.

Example 1. Round 3.14159 to hundredths.
The hundredths digit is 4, the digit to its right is 1 < 5.
3.14159 ≈ 3.14

Example 2. Round 1,234,567 to thousands.
The thousands digit is 4, the digit to its right is 5 ≥ 5.
1,234,567 ≈ 1,235,000

Example 3. Round 2.995 to hundredths.
The hundredths digit is 9, the next digit is 5, so we add 1: 9 + 1 = 10, and the one carries into the higher places.
2.995 ≈ 3.00

Place value names

Trailing zeros in the result (as in 3.00) are kept because they show the place the number was rounded to.

Negative numbers are rounded by the same rule, keeping the minus sign: −2.45 ≈ −2.5.