Rounding

Rounding can be challenging. Especially if the decimal you have to remove is a five, or the decimals you are up to remove are near 498… or 502…, or – even worse – 5001…. Keep strong! There are simple rules for it. If not stated otherwise, we use commercial rounding (or rounding half away from zero) in this wiki, trailing decimals 0,…,4 are rounded towards zero, 5,…,9 are rounded away from zero.

Fourtunately, cent values of just intervals (except 1/1 and 2/1) are irrational.

Example

Rounding the size of 3/2 in cents

Decimals	Result
20	701.9550008653874177445
19	701.955000865387417744
18	701.95500086538741774
17	701.9550008653874177
16	701.955000865387418
15	701.95500086538742
14	701.9550008653874
13	701.955000865387
12	701.95500086539
11	701.9550008654
10	701.955000865
8	701.95500087
7	701.9550009
6	701.955001
5	701.95500
4	701.9550
3	701.955
2	701.96
1	702.0
0	702

See also

• Wikipedia: Rounding
• Wikipedia: Rounding #Round half away from zero – commercial rounding