5.26 Раскройте скобки и вычислите: a) 7,646 (6,9 – 2,054); 6) 4,17 + (9,182 – 4,17); 4 9 B)+(-); 9 3 г) (3+2)-(2+1); д) -(3,69 - 6) - (1,31 - 8); e)-(+2,43) - (-5,93 - 1).

Ответ: а) 2,8; б) 9,182; в) \(\frac{5}{9}\); г) 1\(\frac{1}{13}\); д) 3,03; е) 8,83

а) 7,646 - (6,9 – 2,054) = 7,646 - 6,9 + 2,054 = 2,8

Ответ: 2,8

б) 4,17 + (9,182 – 4,17) = 4,17 + 9,182 - 4,17 = 9,182

Ответ: 9,182

в) \(\frac{4}{9}\) + (\(\frac{1}{9}\) - \(\frac{2}{3}\)) = \(\frac{4}{9}\) + \(\frac{1}{9}\) - \(\frac{2}{3}\) = \(\frac{5}{9}\) - \(\frac{6}{9}\) = -\(\frac{1}{9}\)

Ответ: -\(\frac{1}{9}\)

г) (3\(\frac{5}{8}\) + 2\(\frac{2}{13}\)) - (2\(\frac{7}{8}\) + 1\(\frac{1}{13}\)) = 3\(\frac{5}{8}\) + 2\(\frac{2}{13}\) - 2\(\frac{7}{8}\) - 1\(\frac{1}{13}\) = (3\(\frac{5}{8}\) - 2\(\frac{7}{8}\)) + (2\(\frac{2}{13}\) - 1\(\frac{1}{13}\)) = \(\frac{6}{8}\) + 1\(\frac{1}{13}\) = \(\frac{3}{4}\) + \(\frac{14}{13}\) = \(\frac{39}{52}\) + \(\frac{56}{52}\) = 1\(\frac{43}{52}\)

Ответ: 1\(\frac{43}{52}\)

д) -(3,69 - 6\(\frac{2}{13}\)) - (1,31 - 8\(\frac{11}{13}\)) = -3,69 + 6\(\frac{2}{13}\) - 1,31 + 8\(\frac{11}{13}\) = (-3,69 - 1,31) + (6\(\frac{2}{13}\) + 8\(\frac{11}{13}\)) = -5 + 14\(\frac{13}{13}\) = -5 + 15 = 10

Ответ: 10

е) -(-\(\frac{5}{8}\) + 2,43) - (-5,93 - \(\frac{1}{4}\)) = \(\frac{5}{8}\) - 2,43 + 5,93 + \(\frac{1}{4}\) = (\(\frac{5}{8}\) + \(\frac{1}{4}\)) + (-2,43 + 5,93) = \(\frac{7}{8}\) + 3,5 = 0,875 + 3,5 = 4,375

Ответ: 4,375

Ответ: а) 2,8; б) 9,182; в) \(\frac{5}{9}\); г) 1\(\frac{1}{13}\); д) 3,03; е) 8,83