Difference between revisions of "Division Theorem"
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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> if <math> a | b. </math> | 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> if <math> a | b. </math> | ||
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| + | [[Category:Mathematics]] | ||
| + | [[Category:Theorems]] | ||
Revision as of 12:18, 28 September 2024
For any positive integers
and
, there exist unique integers
and
such that
and
, with
if
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