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For example, 5 km is treated as 5000 m, which allows all quantities based on the same unit to be factored together even if they have different prefixes. A prefix symbol attached to a unit symbol is included when the unit is raised to a power. For example, 1 km 2 denotes 1 km × 1 km = 10 6 m 2, not 10 3 m 2.
The Babylonians had a place-value system based essentially on the numerals for 1 and 10, using base sixty, so that the symbol for sixty was the same as the symbol for one—its value being determined from context. [11] A much later advance was the development of the idea that 0 can be considered as a number, with its own numeral.
In base 10, raising the digits of 1306 to powers of successive integers equals itself: 1306 = 1 1 + 3 2 + 0 3 + 6 4. 135, 175, 518, and 598 also have this property. Centered triangular number. [125] 1307 = safe prime [22] 1308 = sum of totient function for first 65 integers; 1309 = the first sphenic number followed by two consecutive such number
Value Fraction Common names 1 1 / 1 One, Unity, Whole 0.9 9 / 10 Nine tenths, [zero] point nine 0.833 333... 5 / 6 Five sixths 0.8 4 / 5 Four fifths, eight tenths, [zero] point eight 0.75 3 / 4 three quarters, three fourths, seventy-five hundredths, [zero] point seven five 0.7 7 / 10 Seven tenths ...
He also gave two other approximations of π: π ≈ 22 ⁄ 7 and π ≈ 355 ⁄ 113, which are not as accurate as his decimal result. The latter fraction is the best possible rational approximation of π using fewer than five decimal digits in the numerator and denominator. Zu Chongzhi's results surpass the accuracy reached in Hellenistic ...
For example, 1.5 × 30 (which equals 45) will show the same result as 1 500 000 × 0.03 (which equals 45 000). This separate calculation forces the user to keep track of magnitude in short-term memory (which is error-prone), keep notes (which is cumbersome) or reason about it in every step (which distracts from the other calculation requirements).
Fractions of a second are usually denoted in decimal notation, for example 2.01 seconds, or two and one hundredth seconds. Multiples of seconds are usually expressed as minutes and seconds, or hours, minutes and seconds of clock time, separated by colons, such as 11:23:24, or 45:23 (the latter notation can give rise to ambiguity, because the ...