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МатематикаЗачётная работа №5. по теме «Примеры на порядок действий» 1). 2\frac{1}{3}:(\frac{5}{8}-\frac{8}{3})-2⋅1\frac{3}{7} 3). (7-1\frac{5}{9}:\frac{2}{24}):\frac{20}{27} 5). 1\frac{31}{35}:(2-\frac{8}{9}:1\frac{19}{45}) 7). (5\frac{1}{16}-1\frac{1}{8})( \frac{5}{6}+\frac{3}{14}) 9). (2\frac{13}{48}+2\frac{5}{12}):3\frac{3}{4}-9\frac{3}{4}:12. 11). 4\frac{1}{3}⋅5+2,4: (-0,1)-\frac{14}{15}:1\frac{2}{5} 13). 3\frac{1}{7}⋅(-4) -1,8:(-0,1)+\frac{20}{21}:1\frac{2}{3} 15). 9\frac{7}{9}:1\frac{1}{6}+2,7: (-0,1)-4\frac{1}{3}⋅(-4). 2). \frac{7}{15}:(\frac{6}{10}-\frac{8}{3}) 4). (1\frac{1}{35}:\frac{4}{5}-1\frac{8}{35}) 6). 2\frac{7}{9}⋅\frac{18}{25}+\frac{9}{60}: 8). (\frac{4}{5}+\frac{4}{7})(3\frac{3}{8}) 10). -3\frac{1}{7}⋅(-8)-2 12). (6-2\frac{4}{7}) 14). 4\frac{1}{6}⋅(1 16). 7⋅2\frac{6}{7}+
Ответ:
1)
2\frac{1}{3}:(\frac{5}{8}-\frac{8}{3})-2⋅1\frac{3}{7} = \frac{7}{3}:(\frac{15-64}{24})-2⋅\frac{10}{7} = \frac{7}{3}:(-\frac{49}{24})-\frac{20}{7} = \frac{7}{3}⋅(-\frac{24}{49})-\frac{20}{7} = -\frac{8}{7}-\frac{20}{7} = -\frac{28}{7} = -4
Ответ: -4
2)
\frac{7}{15}:(\frac{6}{10}-\frac{8}{3}) = \frac{7}{15}:(\frac{18-80}{30}) = \frac{7}{15}:(-\frac{62}{30}) = \frac{7}{15}⋅(-\frac{30}{62}) = -\frac{7}{1}⋅\frac{2}{62} = -\frac{14}{62} = -\frac{7}{31}
Ответ: -\frac{7}{31}
3)
(7-1\frac{5}{9}:\frac{2}{24}):\frac{20}{27} = (7-\frac{14}{9}⋅\frac{24}{2}):\frac{20}{27} = (7-\frac{14}{3}⋅\frac{8}{2}):\frac{20}{27} = (7-\frac{56}{3}):\frac{20}{27} = (\frac{21-56}{3}):\frac{20}{27} = -\frac{35}{3}:\frac{20}{27} = -\frac{35}{3}⋅\frac{27}{20} = -\frac{7}{1}⋅\frac{9}{4} = -\frac{63}{4} = -15\frac{3}{4}
Ответ: -15\frac{3}{4}
4)
(1\frac{1}{35}:\frac{4}{5}-1\frac{8}{35}) = (\frac{36}{35}:\frac{4}{5}-\frac{43}{35}) = (\frac{36}{35}⋅\frac{5}{4}-\frac{43}{35}) = (\frac{9}{7}-\frac{43}{35}) = (\frac{45-43}{35}) = \frac{2}{35}
Ответ: \frac{2}{35}
5)
1\frac{31}{35}:(2-\frac{8}{9}:1\frac{19}{45}) = \frac{66}{35}:(2-\frac{8}{9}:\frac{64}{45}) = \frac{66}{35}:(2-\frac{8}{9}⋅\frac{45}{64}) = \frac{66}{35}:(2-\frac{1}{1}⋅\frac{5}{8}) = \frac{66}{35}:(2-\frac{5}{8}) = \frac{66}{35}:(\frac{16-5}{8}) = \frac{66}{35}:\frac{11}{8} = \frac{66}{35}⋅\frac{8}{11} = \frac{6}{35}⋅\frac{8}{1} = \frac{48}{35} = 1\frac{13}{35}
Ответ: 1\frac{13}{35}
6)
2\frac{7}{9}⋅\frac{18}{25}+\frac{9}{60} = \frac{25}{9}⋅\frac{18}{25}+\frac{3}{20} = \frac{1}{1}⋅\frac{2}{1}+\frac{3}{20} = 2+\frac{3}{20} = \frac{40+3}{20} = \frac{43}{20} = 2\frac{3}{20}
Ответ: 2\frac{3}{20}
7)
(5\frac{1}{16}-1\frac{1}{8})( \frac{5}{6}+\frac{3}{14}) = (\frac{81}{16}-\frac{9}{8})(\frac{35+9}{42}) = (\frac{81-18}{16})(\frac{44}{42}) = (\frac{63}{16})(\frac{22}{21}) = (\frac{3}{8})(\frac{11}{1}) = \frac{33}{8} = 4\frac{1}{8}
Ответ: 4\frac{1}{8}
8)
( \frac{4}{5}+\frac{4}{7})(3\frac{3}{8}) = (\frac{28+20}{35})(\frac{27}{8}) = (\frac{48}{35})(\frac{27}{8}) = (\frac{6}{35})(\frac{27}{1}) = \frac{162}{35} = 4\frac{22}{35}
Ответ: 4\frac{22}{35}
9)
(2\frac{13}{48}+2\frac{5}{12}):3\frac{3}{4}-9\frac{3}{4}:12 = (\frac{109}{48}+\frac{29}{12}):\frac{15}{4}-\frac{39}{4}:12 = (\frac{109+116}{48}):\frac{15}{4}-\frac{39}{4}⋅\frac{1}{12} = (\frac{225}{48}):\frac{15}{4}-\frac{13}{4}⋅\frac{1}{4} = \frac{75}{16}⋅\frac{4}{15}-\frac{13}{16} = \frac{5}{4}⋅\frac{1}{1}-\frac{13}{16} = \frac{5}{4}-\frac{13}{16} = \frac{20-13}{16} = \frac{7}{16}
Ответ: \frac{7}{16}
10)
-3\frac{1}{7}⋅(-8)-2 = -\frac{22}{7}⋅(-8)-2 = \frac{176}{7}-2 = \frac{176-14}{7} = \frac{162}{7} = 23\frac{1}{7}
Ответ: 23\frac{1}{7}
11)
4\frac{1}{3}⋅5+2,4: (-0,1)-\frac{14}{15}:1\frac{2}{5} = \frac{13}{3}⋅5+2,4: (-0,1)-\frac{14}{15}:\frac{7}{5} = \frac{65}{3}+2,4: (-0,1)-\frac{14}{15}⋅\frac{5}{7} = \frac{65}{3}+2,4: (-0,1)-\frac{2}{3}⋅\frac{1}{1} = \frac{65}{3}+2,4: (-0,1)-\frac{2}{3} = \frac{65}{3}-24-\frac{2}{3} = \frac{65-2}{3}-24 = \frac{63}{3}-24 = 21-24 = -3
Ответ: -3
12)
(6-2\frac{4}{7}) = (\frac{42-18}{7}) = \frac{24}{7} = 3\frac{3}{7}
Ответ: 3\frac{3}{7}
13)
3\frac{1}{7}⋅(-4) -1,8:(-0,1)+\frac{20}{21}:1\frac{2}{3} = \frac{22}{7}⋅(-4) -1,8:(-0,1)+\frac{20}{21}:\frac{5}{3} = -\frac{88}{7}+18+\frac{20}{21}⋅\frac{3}{5} = -\frac{88}{7}+18+\frac{4}{7}⋅\frac{1}{1} = -\frac{88}{7}+18+\frac{4}{7} = -\frac{84}{7}+18 = -12+18 = 6
Ответ: 6
14)
4\frac{1}{6}⋅(1 = \frac{25}{6}
Ответ: \frac{25}{6}
15)
9\frac{7}{9}:1\frac{1}{6}+2,7: (-0,1)-4\frac{1}{3}⋅(-4) = \frac{88}{9}:\frac{7}{6}+2,7: (-0,1)-\frac{13}{3}⋅(-4) = \frac{88}{9}⋅\frac{6}{7}+2,7: (-0,1)+\frac{52}{3} = \frac{88}{3}⋅\frac{2}{7}-27+\frac{52}{3} = \frac{176}{21}-27+\frac{52}{3} = \frac{176}{21}-27+\frac{364}{21} = \frac{176+364}{21}-27 = \frac{540}{21}-27 = \frac{180}{7}-27 = \frac{180-189}{7} = -\frac{9}{7} = -1\frac{2}{7}
Ответ: -1\frac{2}{7}
16)
7⋅2\frac{6}{7}+ = 7⋅\frac{20}{7} = 20
Ответ: 20
