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atlasthegoat
atlasthegoat
29.10.2019 • 
Mathematics

Here is another version of the quotient-remainder theorem: given any integers n, d with dメ0, there exist unique integers q, r satisfying (1) n dq + r (2)-d/2 < r d/2 find the quotient and remainder (using the theorem above! ) for the following pairs of integers n= 11,d=2 n 11, d ,r= n=-11, d=3 q= re n= 54 d = 7 -54 d 7 qf ,r= n= 52 d-8 qf n=-52 d = 8

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