TO INFINITY AND BEYOND

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  20 Cool Facts About Maths If you were to play a word association game with a school-aged child, you’d be pretty unlikely to get a response of ‘cool’ when you asked them what word first came into their mind when you said ‘maths’. Despite what some people may tell you, maths is far from dull. On the contrary, there are plenty of fun and strange maths-related facts out there that will fascinate children of all ages. To prove this, we’ve compiled a list of 20 cool facts about maths which we encourage you to share with the children in your life. 1.  The word “hundred” comes from the old Norse term, “hundrath”, which actually means 120 and not 100. 2.  In a room of 23 people there’s a 50% chance that two people have the same birthday. 3.  Most mathematical symbols weren’t invented until the 16th century. Before that, equations were written in words. 4.  “Forty” is the only number that is spelt with letters arranged in alphabetical order. 5.  Conversely, “one” is the only number that is spe

                                      We usually round off numbers, and we do say 0.99999=1 .  How can 1 equal 0.999...? Well, it does, and we can prove that in two different ways. Proof 01:       let  N=0.999,    thn10N=9.999 ⟹     (10N - N)  = (9.999 - 0.999) ⟹              9N   = 9.000 ⟹                N   = 1 Proof 02:       The number "0.9999..." can be "expanded" as: 0.9999... = 0.9 + 0.09 + 0.009 + 0.0009 + ... In other words, each term in this endless summation will have a "9" preceded by some number of zeroes. This may also be written as: 0.999... = 9/10 + 9/100 + 9/1000 .......              = 9/10 + 9/10(1/10) + 9/10(1/100) .......              = 9/10 + 9/10(1/10)¹ + 9/10(1/10)² + 9/10(1/10)³ .... That is, this is an infinite  geometric series  with first term  a =   9 / 10  and common ratio r =   1 / 10 . Since the size of the common ratio r is less than 1, we can use the infinite-sum formula to find the value:    0.999 = (9/10)[1/(1-1/10)]    

                                               FACTS & SECRETS BEHIND 2520: Reasons Why This Discovery by An Indian is So Special. The number 2520 was discovered by the mathematician  Sri Srinivasa Ramanujan. 1.   2520 is the smallest number that can exactly be divided by  all integers  (whole numbers) from    1 to 10,  whether  even or odd.  It also happens to be divisible by 12, but not 11. 2520 ÷ 1 = 2520 2520 ÷ 2 = 1260 2520 ÷ 3 = 840 2520 ÷ 4 = 630 2520 ÷ 5 = 504 2520 ÷ 6 = 420 2520 ÷ 7 = 360 2520 ÷ 8 = 315 2520 ÷ 9 = 280 2520 ÷ 10 = 252   2. The secret of the number 2520 is hidden in the multiplication of [7 × 30 × 12]. With regard to the Indian Hindu year, the riddle of this 2520 number is solved, it is the coefficient of this number . Days of the week (7), days of the month (30) And months in a year (12).  [7 × 30 × 12 = 2520] This is the characteristic and dominance of time.                                                                        3. 2520 is the  last highly