计算。
$20112011×2010-20102010×2011$
$20112011×2010-20102010×2011$
答案
20112011×2010-20102010×2011
=2011×10001×2010 - 2010×10001×2011
=0
=2011×10001×2010 - 2010×10001×2011
=0
1. 在下面的括号里填上合适的数,使各题能用简便的方法计算。
$10-\frac{4}{7}-(\quad\quad)$ $(\frac{5}{8}+\frac{2}{3})×(\quad\quad)$
$\frac{5}{(\quad\quad)}×\frac{7}{13}×(\quad\quad)$ $\frac{7}{9}÷(\quad\quad)+\frac{5}{11}×\frac{2}{9}$
$10-\frac{4}{7}-(\quad\quad)$ $(\frac{5}{8}+\frac{2}{3})×(\quad\quad)$
$\frac{5}{(\quad\quad)}×\frac{7}{13}×(\quad\quad)$ $\frac{7}{9}÷(\quad\quad)+\frac{5}{11}×\frac{2}{9}$
答案
$10-\frac{4}{7}-(\frac{3}{7})$
$=10-(\frac{4}{7}+\frac{3}{7})$
$=10-1$
$=9$
$(\frac{5}{8}+\frac{2}{3})×(24)$
$=\frac{5}{8}×24+\frac{2}{3}×24$
$=15+16$
$=31$
$\frac{5}{(7)}×\frac{7}{13}×(13)$
$=(\frac{5}{7}×\frac{7}{13})×13$
$=\frac{5}{13}×13$
$=5$
$\frac{7}{9}÷(\frac{11}{5})+\frac{5}{11}×\frac{2}{9}$
$=\frac{7}{9}×\frac{5}{11}+\frac{5}{11}×\frac{2}{9}$
$=\frac{5}{11}×(\frac{7}{9}+\frac{2}{9})$
$=\frac{5}{11}×1$
$=\frac{5}{11}$
$=10-(\frac{4}{7}+\frac{3}{7})$
$=10-1$
$=9$
$(\frac{5}{8}+\frac{2}{3})×(24)$
$=\frac{5}{8}×24+\frac{2}{3}×24$
$=15+16$
$=31$
$\frac{5}{(7)}×\frac{7}{13}×(13)$
$=(\frac{5}{7}×\frac{7}{13})×13$
$=\frac{5}{13}×13$
$=5$
$\frac{7}{9}÷(\frac{11}{5})+\frac{5}{11}×\frac{2}{9}$
$=\frac{7}{9}×\frac{5}{11}+\frac{5}{11}×\frac{2}{9}$
$=\frac{5}{11}×(\frac{7}{9}+\frac{2}{9})$
$=\frac{5}{11}×1$
$=\frac{5}{11}$
2. 计算下面各题,能简算的要简算。
$1.5×[0.02÷(2.1-2.09)]$ $0.125×0.25×32$
$\frac{9}{16}÷[\frac{3}{4}-(\frac{7}{16}-\frac{1}{4})]$ $(\frac{7}{20}+\frac{11}{50}+\frac{6}{25})÷\frac{2}{5}$
$1.5×[0.02÷(2.1-2.09)]$ $0.125×0.25×32$
$\frac{9}{16}÷[\frac{3}{4}-(\frac{7}{16}-\frac{1}{4})]$ $(\frac{7}{20}+\frac{11}{50}+\frac{6}{25})÷\frac{2}{5}$
答案
$1.5×[0.02÷(2.1-2.09)]$
$=1.5×[0.02÷0.01]$
$=1.5×2$
$=3$
$0.125×0.25×32$
$=0.125×0.25×(8×4)$
$=(0.125×8)×(0.25×4)$
$=1×1$
$=1$
$\frac{9}{16}÷[\frac{3}{4}-(\frac{7}{16}-\frac{1}{4})]$
$=\frac{9}{16}÷[\frac{3}{4}-\frac{7}{16}+\frac{1}{4}]$
$=\frac{9}{16}÷[(\frac{3}{4}+\frac{1}{4})-\frac{7}{16}]$
$=\frac{9}{16}÷[1-\frac{7}{16}]$
$=\frac{9}{16}÷\frac{9}{16}$
$=1$
$(\frac{7}{20}+\frac{11}{50}+\frac{6}{25})÷\frac{2}{5}$
$=(\frac{7}{20}+\frac{11}{50}+\frac{6}{25})×\frac{5}{2}$
$=\frac{7}{20}×\frac{5}{2}+\frac{11}{50}×\frac{5}{2}+\frac{6}{25}×\frac{5}{2}$
$=\frac{7}{8}+\frac{11}{20}+\frac{3}{5}$
$=\frac{35}{40}+\frac{22}{40}+\frac{24}{40}$
$=\frac{81}{40}$
$=1.5×[0.02÷0.01]$
$=1.5×2$
$=3$
$0.125×0.25×32$
$=0.125×0.25×(8×4)$
$=(0.125×8)×(0.25×4)$
$=1×1$
$=1$
$\frac{9}{16}÷[\frac{3}{4}-(\frac{7}{16}-\frac{1}{4})]$
$=\frac{9}{16}÷[\frac{3}{4}-\frac{7}{16}+\frac{1}{4}]$
$=\frac{9}{16}÷[(\frac{3}{4}+\frac{1}{4})-\frac{7}{16}]$
$=\frac{9}{16}÷[1-\frac{7}{16}]$
$=\frac{9}{16}÷\frac{9}{16}$
$=1$
$(\frac{7}{20}+\frac{11}{50}+\frac{6}{25})÷\frac{2}{5}$
$=(\frac{7}{20}+\frac{11}{50}+\frac{6}{25})×\frac{5}{2}$
$=\frac{7}{20}×\frac{5}{2}+\frac{11}{50}×\frac{5}{2}+\frac{6}{25}×\frac{5}{2}$
$=\frac{7}{8}+\frac{11}{20}+\frac{3}{5}$
$=\frac{35}{40}+\frac{22}{40}+\frac{24}{40}$
$=\frac{81}{40}$
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