Calcula
Números reais: Matematicamente Falando 8 - Pág. 25 Ex. 12
Enunciado
Calcula \(\frac{{2 \times {{10}^{ – 6}} + 4 \times {{10}^{ – 5}}}}{{20 \times {{10}^5} + 0,1 \times {{10}^6}}}\).
Resolução
Calcula \(\frac{{2 \times {{10}^{ – 6}} + 4 \times {{10}^{ – 5}}}}{{20 \times {{10}^5} + 0,1 \times {{10}^6}}}\).
\[\frac{{2 \times {{10}^{ – 6}} + 4 \times {{10}^{ – 5}}}}{{20 \times {{10}^5} + 0,1 \times {{10}^6}}} = \frac{{0,2 \times {{10}^{ – 5}} + 4 \times {{10}^{ – 5}}}}{{2 \times {{10}^6} + 0,1 \times {{10}^6}}} = \frac{{\left( {0,2 + 4} \right) \times {{10}^{ – 5}}}}{{\left( {2 + 0,1} \right) \times {{10}^6}}} = \frac{{4,2}}{{2,1}} \times \frac{{{{10}^{ – 5}}}}{{{{10}^6}}} = 2 \times {10^{ – 11}}\]
