1. Вычислить: 1) -3,7+(-5,93) 2) 6,563-8,43 3) -5,92-(-3,21) 4) \frac{5}{16}-(-\frac{3}{8}) 5) \frac{9}{11}+\frac{4}{3} 6) \frac{5}{9}\cdot(-\frac{27}{20}) 7) -\frac{4}{7}:\frac{8}{7} 8) -6,1\cdot0,3 9) -3,5\cdot(-0,4) 10) \frac{13}{34}\cdot(-\frac{17}{26})

Ответ:

1) −3,7 + (−5,93) = −3,7 − 5,93 = −9,63

2) 6,563 − 8,43 = −1,867

3) −5,92 − (−3,21) = −5,92 + 3,21 = −2,71

4) \[\frac{5}{16} - (-\frac{3}{8}) = \frac{5}{16} + \frac{3}{8} = \frac{5}{16} + \frac{3\cdot2}{8\cdot2} = \frac{5}{16} + \frac{6}{16} = \frac{5+6}{16} = \frac{11}{16}\]

5) \[\frac{9}{11} + \frac{4}{3} = \frac{9\cdot3}{11\cdot3} + \frac{4\cdot11}{3\cdot11} = \frac{27}{33} + \frac{44}{33} = \frac{27+44}{33} = \frac{71}{33} = 2\frac{5}{33}\]

6) \[\frac{5}{9} \cdot (-\frac{27}{20}) = -\frac{5\cdot27}{9\cdot20} = -\frac{5\cdot9\cdot3}{9\cdot5\cdot4} = -\frac{3}{4}\]

7) \[-\frac{4}{7} : \frac{8}{7} = -\frac{4}{7} \cdot \frac{7}{8} = -\frac{4\cdot7}{7\cdot8} = -\frac{4\cdot7}{7\cdot4\cdot2} = -\frac{1}{2}\]

8) −6,1 ⋅ 0,3 = −1,83

9) −3,5 ⋅ (−0,4) = 1,4

10) \[\frac{13}{34} \cdot (-\frac{17}{26}) = -\frac{13\cdot17}{34\cdot26} = -\frac{13\cdot17}{17\cdot2\cdot13\cdot2} = -\frac{1}{4}\]

Ответ: