计算:
(1) $(-\frac{1}{2})-(-3\frac{1}{4})-(-2\frac{3}{4})-(+5\frac{1}{2})$;
(2) $(\frac{1}{6}-\frac{2}{9})-\left|\frac{1}{3}-\frac{2}{9}\right|-(-\frac{1}{2})$;
(3) $(-4\frac{7}{8})-(-5\frac{1}{2})-4\frac{1}{4}-3\frac{1}{8}$;
(4) $\frac{2}{5}-\left|-1\frac{1}{2}\right|-(+2\frac{1}{4})-(-2.6)$;
(5) $(-3\frac{3}{4})-(-5)-[\frac{5}{6}-(-1\frac{7}{12})]$;
(6) $(+23)-[\frac{1}{3}-(-4\frac{8}{9})-4\frac{5}{12}]$;
(7) $(-4\frac{1}{2})-\{3\frac{2}{5}-[(-0.13)-0.33]\}$;
(8) $(-5\frac{5}{8})-[(-3\frac{1}{2})-\frac{3}{4}]-[(-1\frac{1}{8})-(-2\frac{1}{4})]$。
(1) $(-\frac{1}{2})-(-3\frac{1}{4})-(-2\frac{3}{4})-(+5\frac{1}{2})$;
(2) $(\frac{1}{6}-\frac{2}{9})-\left|\frac{1}{3}-\frac{2}{9}\right|-(-\frac{1}{2})$;
(3) $(-4\frac{7}{8})-(-5\frac{1}{2})-4\frac{1}{4}-3\frac{1}{8}$;
(4) $\frac{2}{5}-\left|-1\frac{1}{2}\right|-(+2\frac{1}{4})-(-2.6)$;
(5) $(-3\frac{3}{4})-(-5)-[\frac{5}{6}-(-1\frac{7}{12})]$;
(6) $(+23)-[\frac{1}{3}-(-4\frac{8}{9})-4\frac{5}{12}]$;
(7) $(-4\frac{1}{2})-\{3\frac{2}{5}-[(-0.13)-0.33]\}$;
(8) $(-5\frac{5}{8})-[(-3\frac{1}{2})-\frac{3}{4}]-[(-1\frac{1}{8})-(-2\frac{1}{4})]$。
答案
(1) $0$
(2) $\frac{1}{3}$
(3) $-6\frac{3}{4}$
(4) $-\frac{3}{4}$
(5) $-\frac{7}{6}$
(6) $22\frac{7}{36}$
(7) $-8.36$
(8) $-2\frac{1}{2}$
【解析】原式$=(-5\frac{5}{8})+3\frac{1}{2}+\frac{3}{4}+1\frac{1}{8}-2\frac{1}{4}=(-5)+(-\frac{5}{8})+3+\frac{1}{2}+\frac{3}{4}+1+\frac{1}{8}+(-2)+(-\frac{1}{4})=[(-5)+3+1+(-2)]+[(-\frac{5}{8})+\frac{1}{8}+\frac{1}{2}]+[\frac{3}{4}+(-\frac{1}{4})]=-3+\frac{1}{2}=-2\frac{1}{2}$
(2) $\frac{1}{3}$
(3) $-6\frac{3}{4}$
(4) $-\frac{3}{4}$
(5) $-\frac{7}{6}$
(6) $22\frac{7}{36}$
(7) $-8.36$
(8) $-2\frac{1}{2}$
【解析】原式$=(-5\frac{5}{8})+3\frac{1}{2}+\frac{3}{4}+1\frac{1}{8}-2\frac{1}{4}=(-5)+(-\frac{5}{8})+3+\frac{1}{2}+\frac{3}{4}+1+\frac{1}{8}+(-2)+(-\frac{1}{4})=[(-5)+3+1+(-2)]+[(-\frac{5}{8})+\frac{1}{8}+\frac{1}{2}]+[\frac{3}{4}+(-\frac{1}{4})]=-3+\frac{1}{2}=-2\frac{1}{2}$
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