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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

2006-10-02 16:12:22 · 6 answers · asked by iamgood 2 in Science & Mathematics Mathematics

6 answers

123456 + 987654 = 1111110
1111110 - 123456 = 987654
123456 - 12345 = 111111
So, 1234560 - 123450 = 1111110
1234560 = 123456 * 10
123450 = 123456 - 6
So, 1111110 = 10 * 123456 - (123456 - 6)
Thus, 987654 = 1111110 - 123456
= 10 * 123456 - (123456 - 6) - 123456
= 10 * 123456 - 123456 + 6 - 123456
= 123456 * (10 - 1 - 1) + 6
= 123456 * 8 + 6

Similarly for the rest where 1+9 = 10, 12+98 = 110, ..., 123456789 + 987654321 = 1111111110.

2006-10-02 21:15:12 · answer #1 · answered by back2nature 4 · 0 0

Cool!

2006-10-02 23:19:08 · answer #2 · answered by zex20913 5 · 0 0

I wonder what the proof would look like?

2006-10-02 23:18:55 · answer #3 · answered by voidedius 3 · 0 0

Impressive.!! I guess this is what we call as the LOGICAL MATRIX

2006-10-02 23:27:27 · answer #4 · answered by Mr. Logic 3 · 0 0

very cool

2006-10-02 23:19:45 · answer #5 · answered by dualspace 3 · 0 0

NO WAI!

2006-10-02 23:21:17 · answer #6 · answered by picopico 5 · 0 0

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