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Rounding to a specified power is very different from rounding to a specified multiple; for example, it is common in computing to need to round a number to a whole power of 2. The steps, in general, to round a positive number x to a power of some positive number b other than 1, are:
Prices are rounded down to the nearest multiple of 5 cents for sales ending in 1¢ & 2¢ (rounded to 0¢) and 6¢ & 7¢ (rounded to 5¢). Prices are rounded up to the nearest multiple of 5 cents for sales ending in 3¢ & 4¢ (round to 5¢) and 8¢ & 9¢ (round to 10¢). Values ending in 0¢ or 5¢ remain unchanged.
A round number is mathematically defined as an integer which is the product of a considerable number of comparatively small factors [12] [13] as compared to its neighboring numbers, such as 24 = 2 × 2 × 2 × 3 (4 factors, as opposed to 3 factors for 27; 2 factors for 21, 22, 25, and 26; and 1 factor for 23).
Suppose a person uses a scale that has a precision of one kilogram, where intermediate values cannot be discerned, and the true weight is rounded to the nearest whole number. For example, 79.6 kg and 80.3 kg are indistinguishable, as the scale can only display values to the nearest kilogram.
To round a number to its nearest order of magnitude, one rounds its logarithm to the nearest integer. Thus 4 000 000, which has a logarithm (in base 10) of 6.602, has 7 as its nearest order of magnitude, because "nearest" implies rounding rather than truncation. For a number written in scientific notation, this logarithmic rounding scale ...
There are two common rounding rules, round-by-chop and round-to-nearest. The IEEE standard uses round-to-nearest. Round-by-chop: The base-expansion of is truncated after the ()-th digit. This rounding rule is biased because it always moves the result toward zero. Round-to-nearest: () is set to the nearest floating-point number to . When there ...
So we are really pleased to propose the 28th consecutive dividend increase to CHF 3.50 per share. an increase of 6% in Swiss francs and [Inaudible] after the prior few years of [Inaudible] per year.
In traditional rounding, numbers between 0 and <5 are rounded to 0, while numbers between 5 and <10 are rounded to 10, if 10 is an increase in the next highest digit of the number being rounded. The difference of (<10 - 5) equals the difference of (<5 - 0), doesn't it? Am I missing something? 4.242.147.47 21:13, 19 September 2006 (UTC)