ONM 2010 Calarasi Problema 1

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Andi Brojbeanu
Bernoulli
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Joined: Sun Mar 22, 2009 6:31 pm
Location: Targoviste (Dambovita)

ONM 2010 Calarasi Problema 1

Post by Andi Brojbeanu »

a) Aratati ca numarul \( 0,16\cdot 6,25 \) este natural.
b) Aratati ca exista numerele naturale \( a \) si \( b \) si cifrele \( c_1, c_2, ..., c_{10}, d_1, d_2, ..., d_{10} \) cu \( c_{10}\neq 0 \) si \( d_{10}\neq 0 \), astfel incat numarul \( (a+\overline{c_1c_2...c_{10}})(b+\overline{d_1d_2...d_{10}}) \) sa fie natural.
Brojbeanu Andi Gabriel, clasa IX-a
Colegiul National "Constantin Carabella" Targoviste
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