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blackcat

Please tell me the function of mod

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I want to know the function of modi.e.1 (mod 9)=?i found that1999=1(mod 9)but i dont how it comesplease tell me the answer?I know this is a silly question. but i dont know this.

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Let m be a positive integer. If a and b are integers s.t. m/ ( a-b ), we say that "a is congurent to b modulo m" and write a=b (mod m) or a-b=0 (mod m)

a=b(mod m) is called a congruence or a congurence modulo m and m is called the modulus of this congurence.

so 1999=1(mod 9) because 9/(1999-1) [(1999-1)=1998 is divisble by 9]

All The Best

Avinash

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