The Beauty of Mathematics Numbers on Fun For Brain Part IV

Fun For Brain
Apparently there is math behind the difficulty of art or beauty in mathematics, see the figures below :
 

1 x 18 + 1 = 19
12 x 18 + 2 = 218
123 x 18 + 3 = 2217
1234 x 18 + 4 = 22 216
12345 x 18 + 5 = 222 215
123456 x 18 + 6 = 2222214
1234567 x 18 + 7 = 22,222,213
12345678 x 18 + 8 = 222 222 212
123456789 x 18 + 9 = 2222222211

123456789 + 987654321 = 1111111110
1 x 142 857 = 142 857 (same number)
2 x 142,857 = 285,714 (same numbers different sequence)
3 x 142 857 = 428 571 (each different sequence numbers)
4 x 142 857 = 571 428 (each different sequence numbers)
5 x 142,857 = 714,285 (same numbers different sequence)
6 x 142 857 = 857 142 (each different sequence numbers)
7 x 142 857 = 999 999 (waw. ..... a fantastic result)

123 +45-67 +8-9 = 100
123 +4-5 +67-89 = 100
123-6x7 +4 x5 +8-9 = 100
123-45-67 +89 = 100
123-4-5-6-7 +8-9 = 100
12 +34 +5 x6 +7 +8 +9 = 100
12 +34-5 x7 +6 +8 +9 = 100
12 +34-5-6 x8 +7 +9 = 100
12 +34-5-6-7 +8 x9 = 100
12 +3 +4 +5-6-7 +89 = 100

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The Beauty of Mathematics Numbers on Fun For Brain Part III

Fun For Brain
Apparently there is math behind the difficulty of art or beauty in mathematics, see the figures below :
 
1 x 8 + 1 = 9
12 x 8 + 2 = 98
123 x 8 + 3 = 987
1234 x 8 + 4 = 9876
12345 x 8 + 5 = 98765
123456 x 8 + 6 = 987654
1234567 x 8 + 7 = 9876543
12345678 x 8 + 8 = 98765432
123456789 x 8 + 9 = 987654321

1 x 1 = 1
11 x 11 = 121
111 x 111 = 12321
1111 x 1111 = 1234321
11111 x 11111 = 123454321
111111 x 111111 = 12345654321
1111111 x 1111111 = 1234567654321
11111111 x 11111111 = 123456787654321
111111111 x 111111111 = 12345678987654321

1 x 8 + 1 = 9
12 x 8 + 2 = 98
123 x 8 + 3 = 987
1234 x 8 + 4 = 9876
12345 x 8 + 5 = 98765
123456 x 8 + 6 = 987654
1234567 x 8 + 7 = 9876543
12345678 x 8 + 8 = 98765432
123456789 x 8 + 9 = 987654321
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The Beauty of Mathematics Numbers on Fun For Brain Part II

Fun For Brain
Apparently there is math behind the difficulty of art or beauty in mathematics, see the figures below :


12345679 x 9 = 111.111.111
12345679 x 18 = 222.222.222
12345679 x 27 = 333.333.333
12345679 x 36 = 444.444.444
12345679 x 45 = 555.555.555
12345679 x 54 = 666.666.666
12345679 x 63 = 777.777.777
12345679 x 72 = 888.888.888
12345679 x 81 = 999.999.999

987654321 x 9 = 8.888.888.889
987654321 x 18 = 17.777.777.778
987654321 x 27 = 26.666.666.667
987654321 x 36 = 35.555.555.556
987654321 x 45 = 44.444.444.445
987654321 x 54 = 53.333.333.334
987654321 x 63 = 62.222.222.223
987654321 x 72 = 71.111.111.112
987654321 x 81 = 80.000.000.001

1 + 2 + 3 + 4 + 5 + 6 = 21
1 + 2 + 3 + …….+ 66 = 2211
1 + 2 + 3 + …….+ 666 = 222111
1 + 2 + 3 + …….+ 6666 = 22221111
1 + 2 + 3 + …….+ 66666 = 2222211111
1 + 2 + 3 + …….+ 666666 = 222222111111

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The Beauty of Mathematics Numbers

Fun For Brain
Apparently there is math behind the difficulty of art or beauty in mathematics, see the figures below :


1 x 9 + 2 = 11
12 x 9 + 3 = 111
123 x 9 + 4 = 1111
1234 x 9 + 5 = 11111
12345 x 9 + 6 = 111111
123456 x 9 + 7 = 1111111
1234567 x 9 + 8 = 11111111
12345678 x 9 + 9 = 111111111
123456789 x 9 +10= 1111111111


0 x 9 + 0 = 0
1 x 9 + 1 = 10
12 x 9 + 2 = 110
123 x 9 + 3 = 1110
1234 x 9 + 4 = 11110
12345 x 9 + 5 = 111110
123456 x 9 + 6 = 1111110
1234567 x 9 + 7 = 11111110
12345678 x 9 + 8 = 111111110
123456789 x 9 + 9 = 1111111110


9 x 9 + 7 = 88
98 x 9 + 6 = 888
987 x 9 + 5 = 8888
9876 x 9 + 4 = 88888
98765 x 9 + 3 = 888888
987654 x 9 + 2 = 8888888
9876543 x 9 + 1 = 88888888
98765432 x 9 + 0 = 888888888

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