About

In transactional environments and laboratory settings, precision is defined by the number of decimal places. The "Nearest Hundredth" (0.01) is the global standard for fiat currencies (cents, pence, euro cents). Scientific measurements also frequently utilize two-decimal precision to balance accuracy with readability.

Standard rounding rules dictate that the third decimal place determines the outcome: digits 0-4 round down, while 5-9 round up. This tool automates that process. A critical feature for financial use cases is the preservation of trailing zeros. While mathematical logic treats 15.5 and 15.50 as identical, financial formatting strictly requires the latter to represent "fifty cents" rather than an ambiguous fraction.

Formulas

The calculation isolates the first two decimal places by multiplying the input x by 100, rounding to the nearest integer, and dividing by 100. The currency mode applies string formatting to ensure padding.

R = roundx × 100100

For formatting (Currency Mode):

if R ≡ Z (Integer) → append .00

Reference Data

Original Number	Rounded (Standard)	Currency Mode (Forced 2 Decimals)
10.123	10.12	$10.12
10.126	10.13	$10.13
5	5	$5.00
0.004	0	$0.00
0.005	0.01	$0.01
99.995	100	$100.00
-12.456	-12.46	- $12.46

Frequently Asked Questions

This tool uses "Round Half Up" logic. If the third decimal digit is 5 or greater, the second digit is incremented by one. For example, 1.125 becomes 1.13.

In accounting, alignment is crucial. A column of figures looks disorganized if some numbers have one decimal place and others have two. Currency Mode forces a standard ".00" format (e.g., displaying 5 as 5.00) to ensure visual consistency and clarity.

Yes, basic scientific notation (e.g., 1.5e2) is parsed, converted to a standard decimal, and then rounded to the nearest hundredth.