TO INFINITY AND BEYOND

  What are Odd Numbers?  Odd numbers are whole numbers that cannot be divided exactly into pairs. Odd numbers, when divided by 2, leave a remainder of 1.  1, 3, 5, 7, 9, 11, 13, 15 … are sequential odd numbers. Odd numbers have the digits 1, 3, 5, 7 or 9 in their ones place. Fun Facts 1. The sum of two odd numbers is always even. 2. The product of two or more odd numbers is always odd. 3. The sum of an even number of odd numbers is even, while the sum of an odd number of odd numbers is odd. For instance, the sum of the four odd numbers 9, 13, 21 and 17 is 60, while the sum of five odd numbers 7, 15, 19, 23 and 29 is 93.

  The Hypnotic Patterns of Sunflowers The pattern of seeds within a sunflower follows the Fibonacci sequence, or 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144.. If you remember back to math class, each number in the sequence is the sum of the previous two numbers. In sunflowers, the spirals you see in the center are generated from this sequence -- there are two series of curves winding in opposite directions, starting at the center and stretching out to the petals, with each seed sitting at a certain angle from the neighboring seeds to create the spiral. According to  PopMath : "In order to optimize the filling [of the seeds in the flower's center], it is necessary to choose the most irrational number there is, that is to say, the one the least well approximated by a fraction. This number is exactly the golden mean. The corresponding angle, the golden angle, is 137.5 degrees...This angle has to be chosen very precisely: variations of 1/10 of a degree destroy completely the ...

Branching Programming by Vaishika Gopi on Scribd

  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” i...

                                      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 +...

                                               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 yea...

A Diffy Squares Math Concepts: Subtraction, estimation, patterns, strategy. How it Works:     Draw a square, and pick four numbers to go in each of the corners. Put a dot on the midpoint of each side, and find the positive difference between the numbers on the closest corner.  Now connect the midpoints. Lo and behold, you’ve got yourself another square! Which means you can repeat the process until you get all zeroes.  The above shown is an example of a diffy square with four positive numbers 3, 1, 9 & 12.