Difference between revisions of "Division Theorem"

(New page: For any positive integer a and integer b, there exist unique integers q and r such that b = qa + r and 0 <= r < a, with r = 0 iff a | b.)
 
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For any positive integer a and integer b, there exist unique integers q and r such that b = qa + r and 0 <= r < a, with r = 0 iff a | b.
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For any positive integers <math> a </math> and <math> b </math>, there exist unique integers <math> q </math> and <math> r </math> such that <math> b = qa + r </math> and <math> 0 \le r < a </math>, with <math> r = 0 </math> iff <math> a | b. </math>

Revision as of 19:34, 4 July 2011

For any positive integers $a$ and $b$, there exist unique integers $q$ and $r$ such that $b = qa + r$ and $0 \le r < a$, with $r = 0$ iff $a | b.$

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