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Eventually children begin to recall certain addition facts ("number bonds"), either through experience or rote memorization. Once some facts are committed to memory, children begin to derive unknown facts from known ones. For example, a child asked to add six and seven may know that 6 + 6 = 12 and then reason that 6 + 7 is one more, or 13. [32]
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More generally, when casting out nines by summing digits, any set of digits which add up to 9, or a multiple of 9, can be ignored. In the number 3264, for example, the digits 3 and 6 sum to 9. Ignoring these two digits, therefore, and summing the other two, we get 2 + 4 = 6.
Thus if N = 300,000,000 (90% of the US population, with 10% of population being too young to participate) and K = 30 then Degrees of Separation = APL = 19.5 / 3.4 = 5.7 and if N = 7,200,000,000 (90% of the world population, with 10% of population being too young to participate) and K = 30 then Degrees of Separation = APL = 22.7 / 3.4 = 6.7.
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9 is the fourth composite number, and the first odd composite number. 9 is also a refactorable number. [ 2 ] Casting out nines is a quick way of testing the calculations of sums, differences, products, and quotients of integers in decimal , a method known as long ago as the 12th century.
Later research on short-term memory and working memory revealed that memory span is not a constant even when measured in a number of chunks. The number of chunks a human can recall immediately after presentation depends on the category of chunks used (e.g., span is around seven for digits, around six for letters, and around five for words), and even on features of the chunks within a category.