Please Make A Note: Number Theory: Mathematical Playgound

I recently received some interesting mathematical equalities

$\bg_black \large \begin{align*} 1 \times 8 + 1 &= 9\\ 12 \times 8 + 2 &= 98 \\ 123 \times 8 + 3 &= 987\\ 1234 \times 8 + 4 &= 9876\\ 12345 \times 8 + 5 &= 98765\\ 123456 \times 8 + 6 &= 987654\\ 1234567 \times 8 + 7 &= 9876543\\ 12345678 \times 8 + 8 &= 98765432\\ 123456789 \times 8 + 9 &= 987654321\\ \end{align*}$

$\bg_black \large \begin{align*} 1 \times 9 + 2 &= 11 \\ 12 \times 9 + 3 &= 111 \\ 123 \times 9 + 4 &= 1111\\ 1234 \times 9 + 5 &= 11111\\ 12345 \times 9 + 6 &= 111111\\ 123456 \times 9 + 7 &= 1111111\\ 1234567 \times 9 + 8 &= 11111111\\ 12345679 \times 9 + 9 &= 111111111\\ 123456799 \times 9 + 10 &= 1111111111 \end{align*}$

Just amazing!

Cite as:
Saad, T. "Number Theory: Mathematical Playgound". Weblog entry from Please Make A Note. http://pleasemakeanote.blogspot.com/2009/02/number-theory-mathematical-playgound-1.html

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Saturday, February 7, 2009

Number Theory: Mathematical Playgound

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