Вопрос:

4. Найдите значения выражения: 1) |+|- 1 7 2) 45 3 4) -- 5) |-5| 6) |-1-- 7) 8-1- 8) 9) 2-1 10) |-3|:|2 6 14 + 5 21 + 7 15 24 51 3 16 5 6 12 15 11 13 3 11 2 15 5 48 26 44 5 33 3 20

Смотреть решения всех заданий с листа

Ответ:

  1. $$|-\frac{6}{14}| + |-\frac{5}{21}| = \frac{6}{14} + \frac{5}{21} = \frac{3}{7} + \frac{5}{21} = \frac{9 + 5}{21} = \frac{14}{21} = \frac{2}{3}$$
  2. $$|-\frac{7}{45}| + |\frac{7}{15}| = \frac{7}{45} + \frac{7}{15} = \frac{7 + 21}{45} = \frac{28}{45}$$
  3. $$|\frac{5}{16}| - |-\frac{3}{24}| = \frac{5}{16} - \frac{3}{24} = \frac{5}{16} - \frac{1}{8} = \frac{5 - 2}{16} = \frac{3}{16}$$
  4. $$|\frac{7}{17}| - |-\frac{2}{51}| = \frac{7}{17} - \frac{2}{51} = \frac{21 - 2}{51} = \frac{19}{51}$$
  5. $$|-5| - |-\frac{3}{16}| = 5 - \frac{3}{16} = \frac{80 - 3}{16} = \frac{77}{16} = 4\frac{13}{16}$$
  6. $$|-1\frac{1}{4}| - |-\frac{5}{6}| = 1\frac{1}{4} - \frac{5}{6} = \frac{5}{4} - \frac{5}{6} = \frac{15 - 10}{12} = \frac{5}{12}$$
  7. $$|\frac{12}{15}| \cdot |-\frac{5}{48}| = \frac{12}{15} \cdot \frac{5}{48} = \frac{4}{5} \cdot \frac{5}{16 \cdot 3} = \frac{1}{4 \cdot 3} = \frac{1}{12}$$
  8. $$|-1\frac{11}{13}| \cdot |-\frac{26}{44}| = \frac{24}{13} \cdot \frac{26}{44} = \frac{24 \cdot 2}{44} = \frac{48}{44} = \frac{12}{11} = 1\frac{1}{11}$$
  9. $$|2\frac{3}{11}| : |-1\frac{5}{33}| = \frac{25}{11} : \frac{38}{33} = \frac{25}{11} \cdot \frac{33}{38} = \frac{25 \cdot 3}{38} = \frac{75}{38} = 1\frac{37}{38}$$
  10. $$|-3\frac{2}{15}| : |2\frac{3}{20}| = \frac{47}{15} : \frac{43}{20} = \frac{47}{15} \cdot \frac{20}{43} = \frac{47 \cdot 4}{3 \cdot 43} = \frac{188}{129} = 1\frac{59}{129}$$

Ответ: смотри выше

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