Răspuns :
Răspuns:
a) \( (1.3 \, 0.5 \, 0.1) \div 0.01 = (130 \, 50 \, 10) \)
b) \( (0.7)^2 + \left[\left(11.2 - 9\right) \times 0.5\right] \div 11 \)
c) \( 10^2 \times 0.34 + \frac{5.76}{2.4 - (0.7)^0} \times \left[\frac{0.6}{4.2 + 3.27} \times 2.75\right] \div \left\{\left[\frac{5}{0.1 \times (6)} - \frac{10}{0.5}\right] \div 0.2 + 1.2\right\} \)
Rezultatele:
a) \( (130 \, 50 \, 10) \)
b) \( 0.7^2 + \left[(11.2 - 9) \times 0.5\right] \div 11 \approx 0.49 + (2.2 \times 0.5) \div 11 \)
\( \approx 0.49 + 1.1 \div 11 \approx 0.49 + 0.1 \approx 0.59 \)
c) Rezultatul pentru expresia complexă este:
\( 100 \times 0.34 + \frac{5.76}{2.4 - 1} \times \left[\frac{0.6}{4.2 + 3.27} \times 2.75\right] \div \left\{\left[\frac{5}{0.1 \times 6} - \frac{10}{0.5}\right] \div 0.2 + 1.2\right\} \)
\( = 34 + \frac{5.76}{1.4} \times \left[\frac{0.6}{7.47} \times 2.75\right] \div \left\{\left[\frac{5}{0.6} - \frac{10}{0.5}\right] \div 0.2 + 1.2\right\} \)
\( = 34 + 4.1143 \times \left[\frac{0.6}{7.47} \times 2.75\right] \div \left\{\left[\frac{5}{0.6} - 20\right] \div 0.2 + 1.2\right\} \)
\( = 34 + 4.1143 \times \left[\frac{0.6}{7.47} \times 2.75\right] \div \left\{\left[\frac{25}{6} - 20\right] \div 0.2 + 1.2\right\} \)
\( = 34 + 4.1143 \times \left[\frac{0.6}{7.47} \times 2.75\right] \div \left\{4.1667 - 20 \times 0.2 + 1.2\right\} \)
\( = 34 + 4.1143 \times \left[0.0803 \times 2.75\right] \div \left\{4.1667 - 4 + 1.2\right\} \)
\( = 34 + 4.1143 \times 0.220825 \div 1.3667 \)
\( = 34 + 0.905 \div 1.3667 \)
\( = 34 + 0.66197 \)
\( \approx 34.66197 \)
