Changes
From Karnataka Open Educational Resources
267 bytes added
, 05:34, 10 July 2014
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| 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> |
| + | --------- |