Curiosidades com números inteiros

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12345679 x 9 = 111111111


12345679 x 18 = 222222222

12345679 x 27 = 333333333

12345679 x 36 = 444444444

12345679 x 45 = 555555555

12345679 x 54 = 666666666

12345679 x 63 = 777777777

12345679 x 72 = 888888888

12345679 x 81 = 999999999



9 x 9 + 7 = 88

9 x 98 + 6 = 888

9 x 987 + 5 = 8888

9 x 9876 + 4 = 88888

9 x 98765 + 3 = 888888

9 x 987654 + 2 = 8888888

9 x 9876543 + 1 = 88888888

9 x 98765432 + 0 = 888888888



9 x 1 + 2 = 11

9 x 12 + 3 = 111

9 x 123 + 4 = 1111

9 x 1234 + 5 = 11111

9 x 12345 + 6 = 111111

9 x 123456 + 7 = 1111111

9 x 1234567 + 8 = 11111111

9 x 12345678 + 9 = 111111111

9 x 123456789 + 10 = 1111111111



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



9 x 7 = 63

99 x 77 = 7623

999 x 777 = 776223

9999 x 7777 = 77762223

99999 x 77777 = 7777622223

999999 x 777777 = 777776222223

9999999 x 7777777 = 77777762222223

99999999 x 77777777 = 7777777622222223



1 x 7 + 3 = 10

14 x 7 + 2 = 100

142 x 7 + 6 = 1000

1428 x 7 + 4 = 10000

14285 x 7 + 5 = 100000

142857 x 7 + 1 = 1000000

1428571 x 7 + 3 = 10000000

14285714 x 7 + 2 = 100000000

142857142 x 7 + 6 = 1000000000

1428571428 x 7 + 4 = 10000000000

14285714285 x 7 + 5 = 100000000000

142857142857 x 7 + 1 = 1000000000000



9 x 9 = 81

99 x 99 = 9801

999 x 999 = 998001

9999 x 9999 = 99980001

99999 x 99999 = 9999800001

999999 x 999999 = 999998000001



12 x 12 = 144, 21 x 21 = 441

13 x 13 = 169, 31 x 31 = 961

102x102 = 10404, 201x201 = 40401

103x103 = 10609, 301x301 = 90601

112x112 = 12544, 211x211 = 44521

122x122 = 14884, 221x221 = 48841

Fonte: http://pessoal.sercomtel.com.br/matematica/fundam/inteiros/inteiros.htm