1. 直接写出得数。
5.01 + 1.9 = $\frac{1}{17}×\frac{34}{35}=$ $\frac{19}{50}×10=$ $\frac{1}{2}×28×\frac{2}{7}=$
$\frac{3}{14}×12=$ 3.56 + 7.4 = $\frac{3}{10}÷21=$ $\frac{3}{8}×9-\frac{3}{8}=$
$\frac{1}{4}+\frac{11}{20}=$ $\frac{5}{12}+\frac{5}{6}=$ 956 + 857 = 11×(1 + 10%) =
$\frac{11}{16}÷\frac{11}{12}=$ 9 - 0.38 = $\frac{13}{28}×\frac{8}{39}=$ 530÷5×6 =
490×8 = $\frac{7}{30}×\frac{3}{14}=$ $\frac{8}{25}÷\frac{4}{5}=$ $\frac{5}{12}×\frac{4}{5}÷3=$
0.6×35 = 1.02×30 = 1.78×300 = 23÷(1 - 50%) =
$\frac{5}{17}×\frac{34}{35}=$ $\frac{2}{13}÷\frac{15}{26}=$ 5.6÷28% = 25×63×0.4 =
5.01 + 1.9 = $\frac{1}{17}×\frac{34}{35}=$ $\frac{19}{50}×10=$ $\frac{1}{2}×28×\frac{2}{7}=$
$\frac{3}{14}×12=$ 3.56 + 7.4 = $\frac{3}{10}÷21=$ $\frac{3}{8}×9-\frac{3}{8}=$
$\frac{1}{4}+\frac{11}{20}=$ $\frac{5}{12}+\frac{5}{6}=$ 956 + 857 = 11×(1 + 10%) =
$\frac{11}{16}÷\frac{11}{12}=$ 9 - 0.38 = $\frac{13}{28}×\frac{8}{39}=$ 530÷5×6 =
490×8 = $\frac{7}{30}×\frac{3}{14}=$ $\frac{8}{25}÷\frac{4}{5}=$ $\frac{5}{12}×\frac{4}{5}÷3=$
0.6×35 = 1.02×30 = 1.78×300 = 23÷(1 - 50%) =
$\frac{5}{17}×\frac{34}{35}=$ $\frac{2}{13}÷\frac{15}{26}=$ 5.6÷28% = 25×63×0.4 =
答案
1. 6.91 $\frac{2}{35}$ $\frac{19}{5}$ 4
$\frac{18}{7}$ 10.96 $\frac{1}{70}$ 3
$\frac{4}{5}$ $\frac{5}{4}$ 1813 12.1
$\frac{3}{4}$ 8.62 $\frac{2}{21}$ 636
3920 $\frac{1}{20}$ $\frac{2}{5}$ $\frac{1}{9}$
21 30.6 534 46
$\frac{2}{7}$ $\frac{4}{15}$ 20 630
$\frac{18}{7}$ 10.96 $\frac{1}{70}$ 3
$\frac{4}{5}$ $\frac{5}{4}$ 1813 12.1
$\frac{3}{4}$ 8.62 $\frac{2}{21}$ 636
3920 $\frac{1}{20}$ $\frac{2}{5}$ $\frac{1}{9}$
21 30.6 534 46
$\frac{2}{7}$ $\frac{4}{15}$ 20 630
2. 计算下面各题,能简算的要简算。
1.43 - 1.6 + 8.57 - 4.4 $\frac{16}{17}×\frac{3}{5}+\frac{2}{17}×\frac{16}{5}$ $\frac{9}{10}÷[\frac{1}{2}×(\frac{6}{5}-\frac{7}{10})]$
1.43 - 1.6 + 8.57 - 4.4 $\frac{16}{17}×\frac{3}{5}+\frac{2}{17}×\frac{16}{5}$ $\frac{9}{10}÷[\frac{1}{2}×(\frac{6}{5}-\frac{7}{10})]$
答案
第一题:$1.43 - 1.6 + 8.57 - 4.4$
解:
$\begin{aligned}&1.43 - 1.6 + 8.57 - 4.4\\=&(1.43 + 8.57) - (1.6 + 4.4)\\=&10 - 6\\=&4\end{aligned}$
第二题:$\frac{16}{17}×\frac{3}{5}+\frac{2}{17}×\frac{16}{5}$
解:
$\begin{aligned}&\frac{16}{17}×\frac{3}{5}+\frac{2}{17}×\frac{16}{5}\\=&\frac{16}{17}×\frac{3}{5}+\frac{16}{17}×\frac{2}{5}\\=&\frac{16}{17}×(\frac{3}{5}+\frac{2}{5})\\=&\frac{16}{17}×1\\=&\frac{16}{17}\end{aligned}$
第三题:$\frac{9}{10}÷[\frac{1}{2}×(\frac{6}{5}-\frac{7}{10})]$
解:
$\begin{aligned}&\frac{9}{10}÷[\frac{1}{2}×(\frac{6}{5}-\frac{7}{10})]\\=&\frac{9}{10}÷[\frac{1}{2}×(\frac{12}{10}-\frac{7}{10})]\\=&\frac{9}{10}÷(\frac{1}{2}×\frac{5}{10})\\=&\frac{9}{10}÷\frac{1}{4}\\=&\frac{9}{10}×4\\=&\frac{18}{5}\end{aligned}$
综上,答案依次为$4$;$\frac{16}{17}$;$\frac{18}{5}$。
解:
$\begin{aligned}&1.43 - 1.6 + 8.57 - 4.4\\=&(1.43 + 8.57) - (1.6 + 4.4)\\=&10 - 6\\=&4\end{aligned}$
第二题:$\frac{16}{17}×\frac{3}{5}+\frac{2}{17}×\frac{16}{5}$
解:
$\begin{aligned}&\frac{16}{17}×\frac{3}{5}+\frac{2}{17}×\frac{16}{5}\\=&\frac{16}{17}×\frac{3}{5}+\frac{16}{17}×\frac{2}{5}\\=&\frac{16}{17}×(\frac{3}{5}+\frac{2}{5})\\=&\frac{16}{17}×1\\=&\frac{16}{17}\end{aligned}$
第三题:$\frac{9}{10}÷[\frac{1}{2}×(\frac{6}{5}-\frac{7}{10})]$
解:
$\begin{aligned}&\frac{9}{10}÷[\frac{1}{2}×(\frac{6}{5}-\frac{7}{10})]\\=&\frac{9}{10}÷[\frac{1}{2}×(\frac{12}{10}-\frac{7}{10})]\\=&\frac{9}{10}÷(\frac{1}{2}×\frac{5}{10})\\=&\frac{9}{10}÷\frac{1}{4}\\=&\frac{9}{10}×4\\=&\frac{18}{5}\end{aligned}$
综上,答案依次为$4$;$\frac{16}{17}$;$\frac{18}{5}$。
3. 在○里填“>”“<”或“=”。
10 - (3.8 + 1.92)○10 - 3.8 - 1.92 201×99○200×99 + 1
24×$\frac{5}{9}$○24×5÷9 $\frac{7}{13}×\frac{9}{10}÷\frac{10}{9}$○$\frac{7}{13}÷\frac{9}{10}÷\frac{10}{9}$
10 - (3.8 + 1.92)○10 - 3.8 - 1.92 201×99○200×99 + 1
24×$\frac{5}{9}$○24×5÷9 $\frac{7}{13}×\frac{9}{10}÷\frac{10}{9}$○$\frac{7}{13}÷\frac{9}{10}÷\frac{10}{9}$
答案
3. = > = <
计算:2025×2025 + 2026×2026 - 2025×2026 - 2024×2025。
答案
解:
$\begin{aligned}&2025×2025 + 2026×2026 - 2025×2026 - 2024×2025\\=&2025×(2025 - 2024)+2026×(2026 - 2025)\\=&2025×1 + 2026×1\\=&2025 + 2026\\=&4051\end{aligned}$
所以,原式的结果为$4051$。
$\begin{aligned}&2025×2025 + 2026×2026 - 2025×2026 - 2024×2025\\=&2025×(2025 - 2024)+2026×(2026 - 2025)\\=&2025×1 + 2026×1\\=&2025 + 2026\\=&4051\end{aligned}$
所以,原式的结果为$4051$。
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