Sunday, 10 March 2013

why 1089 is a wonderful number??



This post is about a number that has
some truly exceptional properties. That
number is 1089.

Amazing property of 1089.

Select a three digit number (where the
units and hundreds digits are not the
same) and follow these instructions:
Step 1: Choose any three-digit number
(where the units and hundreds digits are
not the same).
Let us randomly select the number 469
Step 2: Reverse the digits of the number
you have selected
So reverse of 469 is 964
Step 3: Subtract the smaller number from
the bigger one
964 – 469 = 495
Step 4: Once again reverse the digits of
this difference
Reverse of 495 is 594
Step 5: Add the last two numbers
594+495 = 1089
This result will be the same for any 3-
digit number chosen in step 1. Isn’t it
astonishing that regardless of which
number you select at the beginning, you
will get 1089 as the result.
.
Another property of 1089.
Let’s look at the first nine multiples of
1,089:
1089 x 1 = 1089
1089 x 2 = 2178
1089 x 3 = 3267
1089 x 4 = 4356
1089 x 5 = 5445
1089 x 6 = 6534
1089 x 7 = 7623
1089 x 8 = 8712
1089 x 9 = 9801
I am sure you notice a pattern in the
products. Look at the first and ninth
products.
They are the reverses of one
another.
The second and the eighth are
also reverses of one another. And so the
pattern continues, until the fifth product
is the reverse of itself, known as a
"Palindromic Number".

Another unique property of 1089
33^2 = 1089 = 65^2 – 56^2.

The above representation is also unique
among two digit numbers.

We must agree that there is a particular
beauty in the number 1089.

What is your
opinion?

***Read our next post to know what is Palindrome Numbers??