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Number Theory Level 2

2007 × 20062006 − 2006 × 20072007 = ? \large 2007 \times 20062006 - 2006 \times 20072007 = ?


The answer is 0.

Eric Zhu by Eric Zhu , 15, USA

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1 solution

Chew-Seong Cheong
Aug 14, 2018

D = 2007 × 20062006 − 2006 × 20072007 = 2007 × 2006 × 10001 − 2006 × 2007 × 10001 = 0 \begin{aligned} D & = 2007 \times{\color{#3D99F6}20062006} - 2006 \times {\color{#D61F06} 20072007} \\ & = 2007 \times {\color{#3D99F6} 2006 \times 10001} - 2006 \times {\color{#D61F06} 2007 \times 10001} \\ & = \boxed 0\end{aligned}

4 Helpful 1 Interesting 0 Brilliant 0 Confused

great answer

Eric Zhu - 2 years, 10 months ago

you did great √

Eric Zhu - 2 years, 10 months ago

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