An amazing fact !!

Pick a number between 1 and 99, and write it as a word.

Then count the letters.

Write the number of letters you counted in the word.

Repeat this process.

Within five times, you will end up at the number 4 every time. Just check it !!!



For Example,

Number 85 - Eighty Five

Number of letters - 10 Ten

Number of letters - 3 Three

Number of letters - 5 Five

Number of letters - 4 Four

Number of letters - 4 Four

.........

Amazing !!!!   
   

Cyclic Number

A  cyclic number is a number with "n" digits, when multiplied by the numbers 1,2,3,.......n, the result will be the same digits of that number but in different order.


Formula :

(bp-1 - 1) / p     Example:    Number = 142857,    142857 × 1 = 142857 142857 × 2 = 285714 142857 × 3 = 428571 142857 × 4 = 571428 142857 × 5 = 714285 142857 × 6 = 857142          Thanks, easycalculation.com

Basic Algebra Properties

Closure Axiom of Addition

Sum (or difference) of 2 reals equals a real number

Additive Identity

a + 0 = a

Additive Inverse

a + (-a) = 0

Associative of Addition

(a + b) + c = a + (b + c)

Commutative of Addition

a + b = b + a

Definition of Subtraction

a - b = a + (-b)

Closure Axiom of Multiplication

Product (or quotient if denominator 0) of 2 reals equals a real number

Multiplicative Identity

a * 1 = a

Multiplicative Inverse

a * (1/a) = 1     (a 0)

(Multiplication times 0)

a * 0 = 0

Associative of Multiplication

(a * b) * c = a * (b * c)

Commutative of Multiplication

a * b = b * a

Distributive Law

a(b + c) = ab + ac

Definition of Division

a / b = a(1/b)

Thanks, http://www.pleacher.com

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Palindromic Numbers

 In Mathematics, Palindrome is the number that reads the same forward and backward. For example, 111,252,7007 are all palindromic numbers.

Method to find Palindromic Numbers :

Start with any number. Call it original number. Reverse the digits of the original number

original number = 436

Call the number whose digits are reversed new number. Add the new number to your original number.

Call the number found by adding the new number to the original number test number

new number = 634

test number = new number + original number

test number = 634 + 436 = 1070

If test number is a palindrome, you are done. If not, use your test number as your original number and repeat the steps above

original number = 1070

new number = 0701

test number = 1070 + 0701 =       1771

Source : http://www.basic-mathematics.com/palindrome.html


Find 3 numbers less than 100 that require at least 4 additions to obtain palindromes


1. Number : 69

Addition: 1
Original number = 69
new number = 96
test number = 165

Addition: 2
original number = 165
new number = 561
test number = 726

Addition: 3
original number = 726
new number = 627
test number = 1353

Addition: 4
original number = 1353
new number = 3531
test number = 4884


4884, which is a palindrome.

2. Number : 78

Addition : 1
original number = 78
new number = 87
test number = 165

Addition : 2
original number = 165
new number = 561
test number = 726

Addition : 3
original number = 726
new number = 627
test number = 1353

Addition : 4
original number = 1353
new number = 3531
test number = 4884

4884, which is a palindrome.

3. Number : 79

Addition : 1
original number = 79
new number = 97
test number = 176

Addition : 2
original number = 176
new number = 671
test number = 847

Addition : 3
original number = 847
new number = 748
test number = 1595

Addition :4
original number = 1595
new number = 5951
test number = 7546

Addition : 5
original number = 7546
new number = 6457
test number =14,003

Addition : 6

original number = 14,003
new number = 30,041
test number = 44,044

 44,044, which is a palindrome.

Some Interesting Math facts

• Dyscalculia means difficulty in learning arithmetic, such as difficulty in understanding numbers, and learning maths facts.

• What comes after a million, billion and trillion?

           quadrillion

           quintillion

           sextillion

           septillion

           octillion

           nonillion

           decillion 

           undecillion.  

• Different names for the number 0 

          zero
          nought
          naught
          nil
          zilch 
          zip. 

• Zero is the only number that cannot be represented in Roman numeral.

• The name 'zero' derives from the Arabic word sifr which also gave us the English word 'cipher' meaning 'a secret way of writing' .  

• The = sign ("equal to sign") was invented by 16th Century Welsh mathematician Robert Recorde, who was fed up with writing "is equal to" in his equations. 

• A 'jiffy' is an actual unit of time for 1/100th of a second. 

• The word "FRACTION" derives from the Latin " fractio - to break"

• How to remember the value of pi (π) ?

                      value of  π = 3.1415926

                              This can be remembered by remembering the statement  'May I have a large container of coffee' The number of letters in each word  - 3.1415926, which is the value of pi.

 Source: makemegenius.com 

A number with an interesting property

When I divide it by 2, the remainder is 1.
When I divide it by 3, the remainder is 2.
When I divide it by 4, the remainder is 3.
When I divide it by 5, the remainder is 4.
When I divide it by 6, the remainder is 5.
When I divide it by 7, the remainder is 6.
When I divide it by 8, the remainder is 7.
When I divide it by 9, the remainder is 8.
When I divide it by 10, the remainder is 9.

It's not a small number, but it's not really big, either.What is the number?


Solution 2519 LCM - HCF  = 2520 -1 








Thanks, Daily Brain Teaser Blog...

Number Puzzles

 

 

 

 

 

 

 

 

http://www.indiabix.com/puzzles/number-puzzles/2

http://www.indiabix.com/puzzles/number-puzzles/2