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The repeating decimal commonly written as 0.999... represents exactly the same quantity as the number one. Despite having the appearance of representing a smaller number, 0.999... is a symbol for the number 1 in exactly the same way that 0.333... is an equivalent notation for the number represented by the fraction 1 ⁄ 3. [446]
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
The final digit of the value chosen for the pound was chosen so as to make the number divisible by 7 without a repeating decimal, making the grain exactly 64.798 91 milligrams. [ 65 ] This agreement was ratified by the United Kingdom in 1963 while Canada pre-empted the decision by adopting these values in 1951, nine years ahead of the full ...
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).