About

Rounding is not a one-size-fits-all operation. A carpenter needs measurements rounded to the nearest fraction, a statistician needs specific decimal places, and a project manager needs budget estimates rounded to the nearest thousand. Switching between different calculators for these tasks is inefficient.

This "Master Rounding Tool" acts as a comprehensive computational hub. Upon entering a single value, it simultaneously calculates multiple rounded states: nearest integer powers (10, 100), decimal precisions (0.1, 0.01), and common practical multiples (5, 25). This allows users to compare different levels of granularity instantly and choose the approximation that best fits their specific margin of error.

Formulas

The universal rounding formula for any target multiple m is:

RoundTox, m = roundxm × m

For example, rounding 17 to the nearest 5:

round175 × 5 = round3.4 × 5 = 3 × 5 = 15

Reference Data

Rounding Mode	Target	Example Input: 123.456
Nearest Integer	1	123
Nearest Ten	10	120
Nearest Hundred	100	100
1 Decimal Place	0.1	123.5
2 Decimal Places	0.01	123.46
Nearest 5	5	125
Nearest 25	25	125
Nearest 0.05	0.05	123.45

Frequently Asked Questions

Instead of rounding to decimal places (10ths, 100ths), this rounds to specific steps. For example, rounding to the nearest 5 means the result must be 0, 5, 10, 15, etc. This is useful for cash transactions (rounding to nearest nickel or dime).

Currently, this tool focuses on fixed intervals (multiples and decimal places). Significant figures are a separate mathematical concept related to measurement precision rather than value approximation.

The logic is symmetric around zero. Rounding -17 to the nearest 5 results in -15, just as 17 rounds to 15.