Compatible Numbers Calculator

Estimate the best compatible numbers for your arithmetic operations using our compatible numbers calculator.

Clear
Rounded3,000to the nearest 1,000
Rounded down (floor)3,000
Rounded up (ceiling)4,000
Truncated3,000digits simply dropped
Difference from the original-456.789

At every place value

NearestResult
0.013,456.79
0.13,456.8
13,457
103,460
1003,500
10003,000

The method

round to the nearest multiple of the chosen place

Rounding, flooring and truncating differ

Rounding goes to whichever multiple is closer. Floor always goes down and ceiling always goes up — including for negatives, where floor(−2.3) is −3, not −2. Truncating just discards digits, so it rounds towards zero and behaves differently from floor on negative numbers.