Learning Mathematics - Enjoy Pure Mathematics

Decimal Representation of Real Numbers M. Velrajan To understand the decimal representation of real numbers click the following : Decimal Representation of Real Numbers If it is useful kindly share with students / friends and to get notification of such future publication follow my blog. Thank you M. Velrajan    

To give some tips on Quantitative Aptitude a blog has been created. In this blog posts some of the quantitative aptitude problems on various topics asked in competitive examinations are solved by some simple methods. These posts may encourage to face any Competitive Examinations and to feel that numbers and arithmetic can be enjoyed.   Click  the following link to visit the blog : https://velrajanm-quantitativeaptitude.blogspot.com/?m=1 The links of videos on quantitative aptitude are given below: Enjoy Numbers      https://youtu.be/umdq97O4w04?si=xivYI8j8TJK0eZBJ Number Series      https://youtu.be/aDqfBlPe1c8?si=V-zYXJumOW_BhQRM Number Series - continued https://youtu.be/oBQGmSizPRo?si=zZC0oP0O4Dhg8Viz Alphabet Series  https://youtu.be/sne2S6zdZXY?si=afcyTvTFo61qZtwU You can also visit the channel: https://youtube.com/@m.velrajan-mdu?si=Cpb7SxEGs7WXuqtj Work hard to get a Success. Best Wishes.

A Way of Learning Mathematics   M.Velrajan Learning takes place when the learner has freedom to think, questions arise into the learner and the learner tries to get answers for that. One can also learn by observation and from any incidences. Thinking beyond, Thinking differently and asking questions themselves and to others are essential to develop learning. Learning by observation We illustrate a way of learning by simple observation on numbers.  Look into the multiplication table of 9.   1 ⨯ 9 = 09    2 ⨯ 9 = 18   3 ⨯ 9 = 27   4 ⨯ 9 = 36   5 ⨯ 9 = 45   6 ⨯ 9 = 54   7 ⨯ 9 = 63   8 ⨯ 9 = 72   9 ⨯ 9 = 81 10 ⨯ 9 = 90 What do we observe in the multiplication table of 9 ? Observation : Sum of the digits of all in the RHS is 9, the first (tenth place) digits in the RHS are 0, 1, 2, . . . , 9 and the second (unit place) digits are 9, 8, 7, . . . , 1, 0 and each r...