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→Case -1: x is an even integer
Pupil can solve this in several ways viz., proofs by cases.
Pupil can solve this in several ways viz., proofs by cases.
===Case -1: x is an even integer ===
===Case -1: x is an even integer ===
Then x=2k+0 = 2K, K<math>K in Z </math> by Euclid's lemma<br>
Then x=2k+0 = 2K, <math>K in Z </math> by Euclid's lemma<br>
Discussion on Euclid's lemma: What is division? Discuss on the process of division rather than on the procedure of division. Consider the example . Is it (12-5)=7 then (7-5)=2<br>
Discussion on Euclid's lemma: What is division? Discuss on the process of division rather than on the procedure of division. Consider the example . Is it (12-5)=7 then (7-5)=2
Discussion on Euclid's lemma: What is division? Discuss on the process of division rather than on the procedure of division. Consider the example . Is it (12-5)=7 then (7-5)=2
'''Abstract thinking:'''<br>
b) a (q<br>
-bq<br>
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(a - bq)<br>
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