Punca kuasa 2, panjang diagonal segi empat tepat unit, telah diawas approximated by the Babylonians of the Old Babylonian Period (1900 BC - 1650 BC) sebagai 1.414212... ≈ 30547 21600 = 1 : 24 : 51 : 10 = 1 + 24 60 + 51 60 2 + 10 60 3 {\displaystyle 1.414212...\approx {\frac {30547}{21600}}=1:24:51:10=1+{\frac {24}{60}}+{\frac {51}{60^{2}}}+{\frac {10}{60^{3}}}} [8]

Because 2 {\displaystyle {\sqrt {2}}} is an irrational nombor, it cannot be expressed exactly in sexagesimal numbers, but its sexagesimal expansion does begin 1:24:51:10:7:46:6:4:44...

The length of the tropical year in Neo-Babylonian astronomy (see Hipparchus), 365.24579... hari, can be expressed in sexagesimal as 6:5:14:44:51 (6×60 ＋ 5 + 14/60 + 44/602 + 51/603) hari. The average length of a year in the Gregorian calendar is exactly 6:5:14:33 in the same notation because the values 14 dan 33 were the first two values for the tropical year from the Alfonsine tables, which were in sexagesimal notation.

Nilai π yang telah digunakan Greek mathematican dan scientist Claudius Ptolemaeus (Ptolemy) adalah 3.141666... ≈ 377/120 = 3:8:30 = 3 + 8/60 + 30/602. Jamshīd al-Kāshī, a 15th-century Persian mathematician, calculated π in sexagesimal numbers to an ketepatan sembilan angka perenampuluhan.[9]