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Babylonian clay tablet YBC 7289 with annotations. The diagonal displays an approximation of the square root of 2 in four sexagesimal figures, 1 24 51 10, which is good to about six decimal digits. 1 + 24/60 + 51/60 2 + 10/60 3 = 1.41421296... The tablet also gives an example where one side of the square is 30, and the resulting diagonal is 42 ...
Jamshīd al-Kāshī, a 15th-century Persian mathematician, calculated 2 π as a sexagesimal expression to its correct value when rounded to nine subdigits (thus to 1 / 60 9 ); his value for 2 π was 6;16,59,28,1,34,51,46,14,50. [29] [30] Like √ 2 above, 2 π is an irrational number and cannot be expressed exactly in sexagesimal. Its ...
The Babylonian clay tablet YBC 7289 (c. 1800–1600 BC) gives an approximation of the square root of 2 in four sexagesimal figures, 𒐕 𒌋𒌋𒐼 𒐐𒐕 𒌋 = 1;24,51,10, [13] which is accurate to about six decimal digits, [14] and is the closest possible three-place sexagesimal representation of √ 2:
The natural integer 6174 is known as Kaprekar's constant, [1] [2] [3] after the Indian mathematician D. R. Kaprekar. This number is notable for the following curious behavior: Select any four-digit number which has at least two different digits (leading zeros are allowed), Create two new four-digit numbers by arranging the original digits in a.
Another common way of expressing the base is writing it as a decimal subscript after the number that is being represented (this notation is used in this article). 1111011 2 implies that the number 1111011 is a base-2 number, equal to 123 10 (a decimal notation representation), 173 8 and 7B 16 (hexadecimal).
Additionally, for a displayed (rather than inline) equation, version 2 has too small fonts for the fractions, whereas version 1 makes them all equal to the text size (in the MathJax rendering), and the horizontal spacing in version 2 is also bad (too tight in the sexagesimal part and too little space before the third plus sign and the equal sign).
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Variant systems differ about whether /ŋ/ should encode 2 and classified together with /n/, 7 and classified together with /k/ and /ɡ/ or even 27 (e.g. ring could be 42, 47 or 427). When a /k/ and /ɡ/ is pronounced separately after the /ŋ/, variant systems that chose /ŋ/ to be 27 also disagree if an extra 7 should be written (e.g. finger ...