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Last 2 digits of an Expression 1 Citation Last 2 digits is the remainder when Divided by 100. This can be found usind Binomial theorem. The method described below is quick and is an extension of the Binomial Theorem. For expressions ending in '5' Last 2 digits will always be 25. For '1' I will first so some examples and then follow them with an explanation. Take 41 ^ 73 The last digit/ the right most digit will always be 1 For the last but one digit take the ten's digit of the base i.e 4 in the above example and multiply it will the un, technorati.com
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1 Citation I It takes someone really, really intelligent to pull off stupid. I don?t mean your ordinary, garden-variety stupid ? the kind of stupid I encounter like this: Me, to my dog, Tucker: ?Arrêt. Assieds. Viens ici.? (Meaning, in informal French, ?Stop. Sit down. Come here.? More about this later.*) Onlooker (or is it ?onlistener??): ?Your dog speaks French?? Me: (struggling to restrain myself from flicking their head with my thumb and forefinger) ?Well, he?s really terrible at correcting my French,, technorati.com
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Binomial theorem for any index (need not be a natural number) 1 Citation If n is a rational number and x is a real number such that |x|(1+x) n = 1 = nx + n(n-1)x²/2! + n(n-1)(n-2)x³/3!+?+n(n-1)(n-2)?(n-r+1)xr/r!+...+ ?RemarksThe condition |x|When n is not a whole number, then the condition |x|The terms are infinite when n is not an whole number. When is it an whole number the series become finite as one of the terms will become zero in the coefficient at some point in time.When n is a positive integer, there will be n+1 termsTo expand (x+a)n proceed as follows:(x+a)n, technorati.com
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