13
edits
Changes
From Karnataka Open Educational Resources
→Case -1: x is an even integer
Line 17:
Line 17:
+
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>
+---------
+(a - bq)<br>
+---------
