The Beauty Of Math 11988178841617 3

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$The Beauty of Math$

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 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

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 987654321 x 9 - 1 = 8888888888 9876543210 x 9 - 2 = 88888888888

Brilliant, isn’t it? And look at this symmetry:

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

3 x 37 = 111 and 1 + 1 + 1 = 3 6 x 37 = 222 and 2 + 2 + 2 = 6 9 x 37 = 333 and 3 + 3 + 3 = 9 12 x 37 = 444 and 4 + 4 + 4 = 12 15 x 37 = 555 and 5 + 5 + 5 = 15 18 x 37 = 666 and 6 + 6 + 6 = 18 21 x 37 = 777 and 7 + 7 + 7 = 21 24 x 37 = 888 and 8 + 8 + 8 = 24 27 x 37 = 999 and 9 + 9 + 9 = 27

7 x 7 = 49 67 x 67 = 4489 667 x 667 = 444889 6667 x 6667 = 44448889 66667 x 66667 = 4444488889 666667 x 666667 = 444444888889 6666667 x 6666667 = 44444448888889

4 x 4 = 16 34 x 34 = 1156 334 x 334 = 111556 3334 x 3334 = 11115556 33334 x 33334 = 1111155556 and etc….

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The Beauty Of Math 11988178841617 3

1. The Beauty of Math

2. 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

3. 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

4. 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 987654321 x 9 - 1 = 8888888888 9876543210 x 9 - 2 = 88888888888

5. Brilliant, isn’t it? And look at this symmetry:

6. 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

7. And some more…

8. 3 x 37 = 111 and 1 + 1 + 1 = 3 6 x 37 = 222 and 2 + 2 + 2 = 6 9 x 37 = 333 and 3 + 3 + 3 = 9 12 x 37 = 444 and 4 + 4 + 4 = 12 15 x 37 = 555 and 5 + 5 + 5 = 15 18 x 37 = 666 and 6 + 6 + 6 = 18 21 x 37 = 777 and 7 + 7 + 7 = 21 24 x 37 = 888 and 8 + 8 + 8 = 24 27 x 37 = 999 and 9 + 9 + 9 = 27

9. 7 x 7 = 49 67 x 67 = 4489 667 x 667 = 444889 6667 x 6667 = 44448889 66667 x 66667 = 4444488889 666667 x 666667 = 444444888889 6666667 x 6666667 = 44444448888889

10. 4 x 4 = 16 34 x 34 = 1156 334 x 334 = 111556 3334 x 3334 = 11115556 33334 x 33334 = 1111155556 and etc….