Are you a person who left mathematics behind at school, or someone who was left behind in school by mathematics?

Are you a teacher in need of ideas to amuse your pupils, or a pupil in need of them to bemuse your teacher?

If you are an up-and-coming young executive aspiring to impress your boss, or a boss requiring to surprise your up-and-coming young executives

. . . . . . . . .

**This is exclusively for you.**

**Welcome to the blog Math1089 – Mathematics for All!**

Glad you came by. I appreciate your spending time here at **Math1089** very much. Thanks for encouraging my effort by reading all my blogs with interest. It is the journey of a thousand miles that has begun with a single step. Let’s us both – you and I – walk along the uncharted paths which mathematics has laid for eons.

According to Paul Halmos, “*The only way to learn mathematics is to do mathematics*“. To do mathematics, surely we need to play with numbers and various mathematical operations. Paul Erdős once commented “*Why are numbers beautiful? It’s like asking why is Beethoven’s Ninth Symphony beautiful. If you don’t see why, no one can’t tell you. I know numbers are beautiful. If they aren’t beautiful, nothing is.*“

**Math1089** is a place to learn mathematics in a joyful way. Actually, presence of the number 1089 paves the path for us. 1089 is in fact an odd number, which is also a perfect square with nine divisors, whose sum of the digits is eighteen, lying midway between two primes 1087 and 1091. The number becomes 9801 when reversed, and surprisingly we get the same result when we multiply 1089 by 9. Their product of 1089 and 9801 gives the square of the number 3267.

**In decimal number system, we can always find 1089** **. . . **

Choose any three-digit number whose first and last digits differ by 2 or more. Then reverse the digits, and subtract the smaller from the larger one. Finally, add the reversed number with the original one to obtain 1089. In fact, if we choose 723 (or 327), then **723** − **327** = **396** and **396** + **693** = **1089**, as expected.

1089 is neither triangular nor palindromic nor a perfect number. When divided into two parts like 10 and 89, their sum will produce 99, a palindrome. We can write 1089 in pyramidal form as below:

1089 = 1^{0} + 2^{3} + 3^{4} + 4^{5} − 5^{2}

1089 = 0^{4} −1^{6} +2^{1} +3^{3} + 4^{5} + 5^{0} + 6^{2}

1089 = 0^{2} + 1^{6} − 2^{7} + 3^{5} + 4^{1} + 5^{4} + 6^{0} + 7^{3}

1089 = 0^{5} − 1^{7} + 2^{4} – 3^{8} + 4^{6} + 5^{5} + 6^{1} + 7^{3} + 8^{2}

1089 = 0^{6} − 1^{9} + 2^{7} – 3^{8} + 4^{1} + 5^{5} + 6^{3} + 7^{0} + 8^{4} + 9^{2}

The number 1089 were cited by G. H. Hardy as examples of non-serious mathematics. Moreover, 1089 = 33^{2} = 65^{2} – 56^{2} and this is the only two-digit example of this pattern.

At the close, it’s worth mentioning that, the properties we listed above are neither exhaustive nor we are trying to do that. Rather we are trying to show that how numbers and various mathematical operations together play the pivotal role.

**About Us**

Our visions are to make Mathematics enjoyable rather than frightening, to see structures, to use abstractions to perceive relationships than mechanical procedures, to reason out things, to argue the truth or falsity of statements than getting the formulas by rote, to see Mathematics as something to talk about instead of discussing about one’s failures.

**Contact Us**

Feel free to contact us for we would love to supply any additional information we obtain, if you came across some interesting ideas and eager to share with us, please drop a line at: **math1089.9801@gmail.com **

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