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    

Quantitative and Reasoning Aptitude - First Step gives some tips and encouragement to face any competitive examinations and to feel that numbers and arithmetic can be enjoyed.   Click  the following link to get my booklet, Quantitative and Reasoning Aptitude - First Step Also some additional problems on Time and Distance, Simple and Compound Interest and Time and Work are discussed in Mathematical Reasoning.  To get the link to download PDF of Mathematical Reasoning click the following https://velrajanm.blogspot.com/2024/05/mathematical-reasoning.html

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...