a: 18,45-12,34
=6,11
b: \(-\sqrt{64}+2\cdot\sqrt{\left(-5\right)^2}-7\cdot\sqrt{0,01}\)
\(=-8+2\cdot5-7\cdot0,1\)
=-8+10-0,7
=2-0,7=1,3
c: \(\left(\dfrac{5}{11}:\dfrac{13}{8}+\dfrac{5}{11}:\dfrac{13}{5}\right)+\dfrac{-1}{33}\)
\(=\dfrac{5}{11}\cdot\dfrac{8}{13}+\dfrac{5}{11}\cdot\dfrac{5}{13}+\dfrac{-1}{33}\)
\(=\dfrac{5}{11}\left(\dfrac{8}{13}+\dfrac{5}{13}\right)-\dfrac{1}{33}\)
\(=\dfrac{5}{11}-\dfrac{1}{33}=\dfrac{14}{33}\)
d: \(\left|-\dfrac{1}{2}\right|+\left(-\dfrac{1}{3}\right)^3:\left|-\dfrac{1}{3}\right|-\left(-\dfrac{2024}{2025}\right)^0\)
\(=\dfrac{1}{2}+\left(-\dfrac{1}{3}\right)^3:\dfrac{1}{3}-1\)
\(=\dfrac{1}{2}+\left(-\dfrac{1}{9}\right)-1=\dfrac{7}{18}-1=-\dfrac{11}{18}\)
