Thursday, April 22, 2010

Interesting facts about table of 9

9 * 1 = 09 and also 0 + 9 = 9
9 * 2 = 18 and also 1 + 8 = 9
9 * 3 = 27 and also 2 + 7 = 9
9 * 4 = 36 and also 3 + 6 = 9
9 * 5 = 45 and also 4 + 5 = 9
9 * 6 = 54 and also 5 + 4 = 9
9 * 7 = 63 and also 6 + 3 = 9
9 * 8 = 72 and also 7 + 2 = 9
9 * 9 = 81 and also 8 + 1 = 9
9 * 10 = 90 and also 9 + 0 = 9

After 10, 11 would give 18 and onwards to 12 same formula would be applied.

9 * 11 = 99 and also 9 + 9 = 18
9 * 12 = 108 and also 1 + 0 + 8 = 9
9 * 13 = 117 and also 1 + 1 + 7 = 9
9 * 14 = 126 and also 1 + 2 + 6 = 9
9 * 15 = 135 and also 1 + 3 + 5 = 9
9 * 16 = 144 and also 1 + 4 + 4 = 9
9 * 17 = 153 and also 1 + 5 + 3 = 9
9 * 18 = 162 and also 1 + 6 + 2 = 9
9 * 19 = 171 and also 1 + 7 + 1 = 9
9 * 20 = 180 and also 1 + 8 + 0 = 9

After 20, 21 and 22 would give 18. Onwards to 23 same formula would be applied.
Same pattern would go up to infinity. It is amazing and math is elegant as art and sophisticated as science.

2 comments:

  1. table is interesting but the line after 10 is wrong because 9+9=9 is not true ....farhan rafique

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  2. I have made correction and also this pattern of 18 increases after each ten. It gives 18 for 9*21 = 189 and 9*22 = 198. For 31,32 and 33 also. And 4 times in forties. I would try to derive a formula for this pattern.
    Thanks for pointing out this.

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