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Magic number 1089

Magic number 1089

1089 is an integer (whole number) before 1090 and after 1088. It is a square number (33 squared), a nonagonal number, a 32-gonal number, a 364-gonal number, and a centered octogonal number.

1089 is a magical number involving curious mathematical trick : It can be produced from any decreasing order of three digit number.

Example:

Step 1 : Consider any three digit number, say 642.

Step 2 : Reverse the three digit number and subtract it from the original number.

642 - 246 = 396

Step 3 : Again add the obtained value with its reverse digit order.

396 + 693 = 1089!

The final result will be always 1089 !

Multiplying the number 1089 from 1 to 9 produces a pattern as follows :

1089 * 1 : 1089 1089 * 2 : 2178 1089 * 3 : 3267 1089 * 4 : 4356 1089 * 5 : 5445 1089 * 6 : 6534 1089 * 7 : 7623 1089 * 8 : 8712 1089 * 9 : 9801

Look down the columns of digits. Number 1089 is reversed as 9801.

1/1089 = 0.00 09 18 27 36 45 54 63 72 ... (think about the nine times table)

1/9801 = 0.00 01 02 03 04 05 06 07 08 09 10 11 12 13 14...

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Daily Maths Topic Today - magic number 1089.


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