5.26 Раскройте скобки и вычислите: a) 7,646 - (6,9 – 2,054); 6) 4,17 + (9,182 – 4,17); в) 4 9 + 1 2 9 3 ; г) 3 5 8 + 2 2 13 - 2 7 8 +1 2 13 ; д) -(3,69-6 2 13 ) - (1,31-8 11 13 ); e)-(+2,43) - (-5,93- 5 8 1 4 ).

5.26 a)

7,646 - (6,9 – 2,054) = 7,646 - 6,9 + 2,054 = 0,746 + 2,054 = 2,8

5.26 б)

4,17 + (9,182 – 4,17) = 4,17 + 9,182 - 4,17 = 9,182 + (4,17 - 4,17) = 9,182 + 0 = 9,182

5.26 в)

\[\frac{4}{9} + (\frac{1}{9} - \frac{2}{3}) = \frac{4}{9} + \frac{1}{9} - \frac{2}{3} = \frac{4}{9} + \frac{1}{9} - \frac{6}{9} = \frac{4 + 1 - 6}{9} = \frac{-1}{9} = -\frac{1}{9}\]

Ответ:-\[\frac{1}{9}\]

5.26 г)

\[(3\frac{5}{8} + 2\frac{2}{13}) - (2\frac{7}{8} + 1\frac{2}{13}) = 3\frac{5}{8} + 2\frac{2}{13} - 2\frac{7}{8} - 1\frac{2}{13} = (3\frac{5}{8} - 2\frac{7}{8}) + (2\frac{2}{13} - 1\frac{2}{13}) = (3 - 2 + \frac{5}{8} - \frac{7}{8}) + (2 - 1 + \frac{2}{13} - \frac{2}{13}) = (1 - \frac{2}{8}) + (1 + 0) = 1 - \frac{1}{4} + 1 = 2 - \frac{1}{4} = 1\frac{3}{4}\]

Ответ: 1\[\frac{3}{4}\]

5.26 д)

-(3,69 - 6213) - (1,31 - 81113) = -3,69 + 6213 - 1,31 + 81113 = -3,69 - 1,31 + 6213 + 81113 = -5 + 141313 = -5 + 15 = 10

5.26 e)

-(58 + 2,43) - (-5,93 - 14) = -58 - 2,43 + 5,93 + 14 = -0,625 - 2,43 + 5,93 + 0,25 = 3,125

Ответ: 3,125