一、简便计算下面各题。
$28.5×101$
$79.8÷25÷0.04$
$30.9 - 0.68 - 6.32$
$(\dfrac{3}{5}-\dfrac{1}{3})× 15-\dfrac{1}{4}$
$(\dfrac{1}{3}+\dfrac{1}{6}+37.5\%)× 24$
$0.4×0.93×0.25×10$
$4.32 + 6.7 + 5.68$
$7.3÷4 + 2.7×0.25$
$37.5×20\% + 80\%×37.5$
$28.5×101$
$79.8÷25÷0.04$
$30.9 - 0.68 - 6.32$
$(\dfrac{3}{5}-\dfrac{1}{3})× 15-\dfrac{1}{4}$
$(\dfrac{1}{3}+\dfrac{1}{6}+37.5\%)× 24$
$0.4×0.93×0.25×10$
$4.32 + 6.7 + 5.68$
$7.3÷4 + 2.7×0.25$
$37.5×20\% + 80\%×37.5$
答案
一、2878.5 79.8 23.9
$3\frac{3}{4} 21 0.93$
16.7 2.5 37.5
$3\frac{3}{4} 21 0.93$
16.7 2.5 37.5
二、计算下面各题,怎样简便就怎样计算。
$25.89 + (8 - 5.89)$
$\dfrac{3}{5}+\dfrac{1}{5}+\dfrac{5}{7}× \dfrac{7}{12}$
$(27.6 - 0.9)÷(2.5×8)$
$\dfrac{5}{7}-\dfrac{3}{5}× \dfrac{3}{14}÷ 60\%$
$10-(2+\dfrac{1}{3})÷ \dfrac{2}{3}$
$360÷15 + 2.5×14$
$35× (1-\dfrac{3}{7})÷ \dfrac{5}{12}$
$4560÷15 - 15×2$
$0.04×[21.2÷(4.5 + 0.8)]$
$20.8×3.3 - 2050÷50$
$\dfrac{13}{24}+\dfrac{3}{8}× \dfrac{7}{9}-\dfrac{1}{12}$
$5÷ [(\dfrac{2}{3}+\dfrac{1}{5})× \dfrac{1}{13}]$
$25.89 + (8 - 5.89)$
$\dfrac{3}{5}+\dfrac{1}{5}+\dfrac{5}{7}× \dfrac{7}{12}$
$(27.6 - 0.9)÷(2.5×8)$
$\dfrac{5}{7}-\dfrac{3}{5}× \dfrac{3}{14}÷ 60\%$
$10-(2+\dfrac{1}{3})÷ \dfrac{2}{3}$
$360÷15 + 2.5×14$
$35× (1-\dfrac{3}{7})÷ \dfrac{5}{12}$
$4560÷15 - 15×2$
$0.04×[21.2÷(4.5 + 0.8)]$
$20.8×3.3 - 2050÷50$
$\dfrac{13}{24}+\dfrac{3}{8}× \dfrac{7}{9}-\dfrac{1}{12}$
$5÷ [(\dfrac{2}{3}+\dfrac{1}{5})× \dfrac{1}{13}]$
答案
1. $25.89+(8 - 5.89)$
解:
$\begin{aligned}&25.89+(8 - 5.89)\\=&25.89 - 5.89+8\\=&20+8\\=&28\end{aligned}$
2. $\frac{3}{5}+\frac{1}{5}+\frac{5}{7}×\frac{7}{12}$
解:
$\begin{aligned}&\frac{3}{5}+\frac{1}{5}+\frac{5}{7}×\frac{7}{12}\\=&\frac{3 + 1}{5}+\frac{5×7}{7×12}\\=&\frac{4}{5}+\frac{5}{12}\\=&\frac{48+25}{60}\\=&\frac{73}{60}\end{aligned}$
3. $(27.6 - 0.9)÷(2.5×8)$
解:
$\begin{aligned}&(27.6 - 0.9)÷(2.5×8)\\=&26.7÷20\\=&1.335\end{aligned}$
4. $\frac{5}{7}-\frac{3}{5}×\frac{3}{14}÷60\%$
解:
$\begin{aligned}&\frac{5}{7}-\frac{3}{5}×\frac{3}{14}÷60\%\\=&\frac{5}{7}-\frac{3×3}{5×14}÷\frac{3}{5}\\=&\frac{5}{7}-\frac{9}{70}×\frac{5}{3}\\=&\frac{5}{7}-\frac{3}{14}\\=&\frac{10 - 3}{14}\\=&\frac{1}{2}\end{aligned}$
5. $10-(2+\frac{1}{3})÷\frac{2}{3}$
解:
$\begin{aligned}&10-(2+\frac{1}{3})÷\frac{2}{3}\\=&10-(\frac{6 + 1}{3})÷\frac{2}{3}\\=&10-\frac{7}{3}×\frac{3}{2}\\=&10-\frac{7}{2}\\=&\frac{20 - 7}{2}\\=&\frac{13}{2}\end{aligned}$
6. $360÷15+2.5×14$
解:
$\begin{aligned}&360÷15+2.5×14\\=&24+35\\=&59\end{aligned}$
7. $35×(1-\frac{3}{7})÷\frac{5}{12}$
解:
$\begin{aligned}&35×(1-\frac{3}{7})÷\frac{5}{12}\\=&35×\frac{4}{7}÷\frac{5}{12}\\=&20×\frac{12}{5}\\=&48\end{aligned}$
8. $4560÷15-15×2$
解:
$\begin{aligned}&4560÷15-15×2\\=&304-30\\=&274\end{aligned}$
9. $0.04×[21.2÷(4.5 + 0.8)]$
解:
$\begin{aligned}&0.04×[21.2÷(4.5 + 0.8)]\\=&0.04×(21.2÷5.3)\\=&0.04×4\\=&0.16\end{aligned}$
10. $20.8×3.3-2050÷50$
解:
$\begin{aligned}&20.8×3.3-2050÷50\\=&68.64-41\\=&27.64\end{aligned}$
11. $\frac{13}{24}+\frac{3}{8}×\frac{7}{9}-\frac{1}{12}$
解:
$\begin{aligned}&\frac{13}{24}+\frac{3}{8}×\frac{7}{9}-\frac{1}{12}\\=&\frac{13}{24}+\frac{7}{24}-\frac{2}{24}\\=&\frac{13 + 7 - 2}{24}\\=&\frac{18}{24}\\=&\frac{3}{4}\end{aligned}$
12. $5÷[(\frac{2}{3}+\frac{1}{5})×\frac{1}{13}]$
解:
$\begin{aligned}&5÷[(\frac{2}{3}+\frac{1}{5})×\frac{1}{13}]\\=&5÷[(\frac{10+3}{15})×\frac{1}{13}]\\=&5÷(\frac{13}{15}×\frac{1}{13})\\=&5÷\frac{1}{15}\\=&5×15\\=&75\end{aligned}$
综上,答案依次为$28$;$\frac{73}{60}$;$1.335$;$\frac{1}{2}$;$\frac{13}{2}$;$59$;$48$;$274$;$0.16$;$27.64$;$\frac{3}{4}$;$75$。
解:
$\begin{aligned}&25.89+(8 - 5.89)\\=&25.89 - 5.89+8\\=&20+8\\=&28\end{aligned}$
2. $\frac{3}{5}+\frac{1}{5}+\frac{5}{7}×\frac{7}{12}$
解:
$\begin{aligned}&\frac{3}{5}+\frac{1}{5}+\frac{5}{7}×\frac{7}{12}\\=&\frac{3 + 1}{5}+\frac{5×7}{7×12}\\=&\frac{4}{5}+\frac{5}{12}\\=&\frac{48+25}{60}\\=&\frac{73}{60}\end{aligned}$
3. $(27.6 - 0.9)÷(2.5×8)$
解:
$\begin{aligned}&(27.6 - 0.9)÷(2.5×8)\\=&26.7÷20\\=&1.335\end{aligned}$
4. $\frac{5}{7}-\frac{3}{5}×\frac{3}{14}÷60\%$
解:
$\begin{aligned}&\frac{5}{7}-\frac{3}{5}×\frac{3}{14}÷60\%\\=&\frac{5}{7}-\frac{3×3}{5×14}÷\frac{3}{5}\\=&\frac{5}{7}-\frac{9}{70}×\frac{5}{3}\\=&\frac{5}{7}-\frac{3}{14}\\=&\frac{10 - 3}{14}\\=&\frac{1}{2}\end{aligned}$
5. $10-(2+\frac{1}{3})÷\frac{2}{3}$
解:
$\begin{aligned}&10-(2+\frac{1}{3})÷\frac{2}{3}\\=&10-(\frac{6 + 1}{3})÷\frac{2}{3}\\=&10-\frac{7}{3}×\frac{3}{2}\\=&10-\frac{7}{2}\\=&\frac{20 - 7}{2}\\=&\frac{13}{2}\end{aligned}$
6. $360÷15+2.5×14$
解:
$\begin{aligned}&360÷15+2.5×14\\=&24+35\\=&59\end{aligned}$
7. $35×(1-\frac{3}{7})÷\frac{5}{12}$
解:
$\begin{aligned}&35×(1-\frac{3}{7})÷\frac{5}{12}\\=&35×\frac{4}{7}÷\frac{5}{12}\\=&20×\frac{12}{5}\\=&48\end{aligned}$
8. $4560÷15-15×2$
解:
$\begin{aligned}&4560÷15-15×2\\=&304-30\\=&274\end{aligned}$
9. $0.04×[21.2÷(4.5 + 0.8)]$
解:
$\begin{aligned}&0.04×[21.2÷(4.5 + 0.8)]\\=&0.04×(21.2÷5.3)\\=&0.04×4\\=&0.16\end{aligned}$
10. $20.8×3.3-2050÷50$
解:
$\begin{aligned}&20.8×3.3-2050÷50\\=&68.64-41\\=&27.64\end{aligned}$
11. $\frac{13}{24}+\frac{3}{8}×\frac{7}{9}-\frac{1}{12}$
解:
$\begin{aligned}&\frac{13}{24}+\frac{3}{8}×\frac{7}{9}-\frac{1}{12}\\=&\frac{13}{24}+\frac{7}{24}-\frac{2}{24}\\=&\frac{13 + 7 - 2}{24}\\=&\frac{18}{24}\\=&\frac{3}{4}\end{aligned}$
12. $5÷[(\frac{2}{3}+\frac{1}{5})×\frac{1}{13}]$
解:
$\begin{aligned}&5÷[(\frac{2}{3}+\frac{1}{5})×\frac{1}{13}]\\=&5÷[(\frac{10+3}{15})×\frac{1}{13}]\\=&5÷(\frac{13}{15}×\frac{1}{13})\\=&5÷\frac{1}{15}\\=&5×15\\=&75\end{aligned}$
综上,答案依次为$28$;$\frac{73}{60}$;$1.335$;$\frac{1}{2}$;$\frac{13}{2}$;$59$;$48$;$274$;$0.16$;$27.64$;$\frac{3}{4}$;$75$。
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