1. 直接写出得数。
$1200×\frac{1}{4}=$ $18×40=$ $\frac{4}{3}×\frac{5}{16}=$ $24×(\frac{1}{3}-\frac{1}{6})=$
$4.2-3.4=$ $1-12\%=$ $2.8+0.28=$ $2.8+1.63+3.2=$
$\frac{5}{2}+\frac{1}{3}=$ $0.24×300=$ $1515÷15=$ $8.1÷9×2=$
$306÷\frac{2}{3}=$ $\frac{10}{21}×\frac{3}{5}=$ $12÷75\%=$ $2×3.14×35=$
$40×150\%=$ $5\%÷25\%=$ $0.5^{3}×8000=$ $1.256÷3.14÷2=$
$1200×\frac{1}{4}=$ $18×40=$ $\frac{4}{3}×\frac{5}{16}=$ $24×(\frac{1}{3}-\frac{1}{6})=$
$4.2-3.4=$ $1-12\%=$ $2.8+0.28=$ $2.8+1.63+3.2=$
$\frac{5}{2}+\frac{1}{3}=$ $0.24×300=$ $1515÷15=$ $8.1÷9×2=$
$306÷\frac{2}{3}=$ $\frac{10}{21}×\frac{3}{5}=$ $12÷75\%=$ $2×3.14×35=$
$40×150\%=$ $5\%÷25\%=$ $0.5^{3}×8000=$ $1.256÷3.14÷2=$
答案
1. 300 720 $\dfrac{5}{12}$ 4 0.8 0.88 3.08 7.63 $\dfrac{17}{6}$ 72 101 1.8 459 $\dfrac{2}{7}$ 16 219.8 60 0.2 1000 0.2
2. 计算下面各题,能简算的要简算。
$8.05×0.4-28.42÷14$ $\frac{5}{6}×(\frac{1}{4}-\frac{1}{5})÷\frac{1}{48}$ $\frac{7}{12}÷[(\frac{5}{8}-\frac{1}{2})×\frac{4}{5}]$
$8.05×0.4-28.42÷14$ $\frac{5}{6}×(\frac{1}{4}-\frac{1}{5})÷\frac{1}{48}$ $\frac{7}{12}÷[(\frac{5}{8}-\frac{1}{2})×\frac{4}{5}]$
答案
第一题:$8.05×0.4 - 28.42÷14$
解:
$\begin{aligned}&8.05×0.4 - 28.42÷14\\=&3.22 - 2.03\\=&1.19\end{aligned}$
第二题:$\frac{5}{6}×(\frac{1}{4}-\frac{1}{5})÷\frac{1}{48}$
解:
$\begin{aligned}&\frac{5}{6}×(\frac{1}{4}-\frac{1}{5})÷\frac{1}{48}\\=&\frac{5}{6}×(\frac{5}{20}-\frac{4}{20})×48\\=&\frac{5}{6}×\frac{1}{20}×48\\=&\frac{5}{6}×48×\frac{1}{20}\\=&40×\frac{1}{20}\\=&2\end{aligned}$
第三题:$\frac{7}{12}÷[(\frac{5}{8}-\frac{1}{2})×\frac{4}{5}]$
解:
$\begin{aligned}&\frac{7}{12}÷[(\frac{5}{8}-\frac{1}{2})×\frac{4}{5}]\\=&\frac{7}{12}÷[(\frac{5}{8}-\frac{4}{8})×\frac{4}{5}]\\=&\frac{7}{12}÷(\frac{1}{8}×\frac{4}{5})\\=&\frac{7}{12}÷\frac{1}{10}\\=&\frac{7}{12}×10\\=&\frac{35}{6}\end{aligned}$
综上,答案依次为$1.19$;$2$;$\frac{35}{6}$。
解:
$\begin{aligned}&8.05×0.4 - 28.42÷14\\=&3.22 - 2.03\\=&1.19\end{aligned}$
第二题:$\frac{5}{6}×(\frac{1}{4}-\frac{1}{5})÷\frac{1}{48}$
解:
$\begin{aligned}&\frac{5}{6}×(\frac{1}{4}-\frac{1}{5})÷\frac{1}{48}\\=&\frac{5}{6}×(\frac{5}{20}-\frac{4}{20})×48\\=&\frac{5}{6}×\frac{1}{20}×48\\=&\frac{5}{6}×48×\frac{1}{20}\\=&40×\frac{1}{20}\\=&2\end{aligned}$
第三题:$\frac{7}{12}÷[(\frac{5}{8}-\frac{1}{2})×\frac{4}{5}]$
解:
$\begin{aligned}&\frac{7}{12}÷[(\frac{5}{8}-\frac{1}{2})×\frac{4}{5}]\\=&\frac{7}{12}÷[(\frac{5}{8}-\frac{4}{8})×\frac{4}{5}]\\=&\frac{7}{12}÷(\frac{1}{8}×\frac{4}{5})\\=&\frac{7}{12}÷\frac{1}{10}\\=&\frac{7}{12}×10\\=&\frac{35}{6}\end{aligned}$
综上,答案依次为$1.19$;$2$;$\frac{35}{6}$。
3. 计算下面各图形或涂色部分的面积。(单位:cm)
(1)

(2)

(3)

(1)
(2)
(3)
答案
3. (1)$6× 3 + 4× 6÷ 2 = 30$ $(cm^{2})$
(2)$3.14× (16÷ 2)^{2} = 200.96$ $(cm^{2})$
(3)$3.14× (14^{2} - 8^{2}) = 414.48(cm^{2})$
(2)$3.14× (16÷ 2)^{2} = 200.96$ $(cm^{2})$
(3)$3.14× (14^{2} - 8^{2}) = 414.48(cm^{2})$
下图中圆的面积与长方形的面积相等,圆的周长是25.12分米,求涂色部分的面积。

答案
·思维提升
$25.12÷ 3.14÷ 2 = 4$(分米)
$3.14× 4^{2}× (1 - \dfrac{1}{4}) = 37.68$(平)
$25.12÷ 3.14÷ 2 = 4$(分米)
$3.14× 4^{2}× (1 - \dfrac{1}{4}) = 37.68$(平)
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