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Approximating a fraction by a fractional decimal number: 5 / 3 1.6667: 4 decimal places: Approximating a fractional decimal number by one with fewer digits 2.1784: 2.18 2 decimal places Approximating a decimal integer by an integer with more trailing zeros 23217: 23200: 3 significant figures Approximating a large decimal integer using ...
For example, the decimal number 123456789 cannot be exactly represented if only eight decimal digits of precision are available (it would be rounded to one of the two straddling representable values, 12345678 × 10 1 or 12345679 × 10 1), the same applies to non-terminating digits (. 5 to be rounded to either .55555555 or .55555556).
For example, Wikipedia content can display numbers this way, as in the following examples: 149 597 870 700 metres is 1 astronomical unit 3.14159 26535 89793 23846 is π rounded to 20 decimal places 2.71828 18284 59045 23536 is e rounded to 20 decimal places.
Place value of number in decimal system. The decimal numeral system (also called the base-ten positional numeral system and denary / ˈ d iː n ər i / [1] or decanary) is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers (decimal fractions) of the Hindu–Arabic numeral system.
Decimals between 1 and 2: fixed interval 2 −23 (1+2 −23 is the next largest float after 1) Decimals between 2 and 4: fixed interval 2 −22; Decimals between 4 and 8: fixed interval 2 −21... Decimals between 2 n and 2 n+1: fixed interval 2 n-23... Decimals between 2 22 =4194304 and 2 23 =8388608: fixed interval 2 −1 =0.5; Decimals ...
The notational system of the Babylonians was the best of any civilization until the Renaissance, and its power allowed it to achieve remarkable computational accuracy; for example, the Babylonian tablet YBC 7289 gives an approximation of √ 2 accurate to five decimal places. [26]
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