a: \(\dfrac{13}{25}-\dfrac{31}{41}+\dfrac{12}{25}-\dfrac{10}{41}-0,5\)
\(=\left(\dfrac{13}{25}+\dfrac{12}{25}\right)-\left(\dfrac{31}{41}+\dfrac{10}{41}\right)-\dfrac{1}{2}\)
\(=1-1-\dfrac{1}{2}=-\dfrac{1}{2}\)
b: \(\left(-2\right)^3-\left(-\dfrac{1}{2}\right)^2:\dfrac{-1}{16}-2023^0\)
\(=-8-\dfrac{1}{4}\cdot\dfrac{-16}{1}-1\)
=-8+4-1
=-4-1
=-5
c: \(\left(-\dfrac{1}{3}\right)^2+\dfrac{4}{3}:2-0,6\)
\(=\dfrac{1}{9}+\dfrac{4}{3}\cdot\dfrac{1}{2}-\dfrac{3}{5}\)
\(=\dfrac{1}{9}+\dfrac{2}{3}-\dfrac{3}{5}\)
\(=\dfrac{10}{90}+\dfrac{60}{90}-\dfrac{54}{90}=\dfrac{16}{90}=\dfrac{8}{45}\)
d: \(\dfrac{2}{9}\cdot\dfrac{7}{5}+\dfrac{2}{9}\cdot\dfrac{-11}{5}+\dfrac{4}{5}\cdot\dfrac{2}{9}\)
\(=\dfrac{2}{9}\left(\dfrac{7}{5}-\dfrac{11}{5}+\dfrac{4}{5}\right)\)
\(=\dfrac{2}{9}\cdot0=0\)