Решебник по математике 6 класс Ерина Никольский рабочая тетрадь Часть 1, 2 Часть 1 | Страница 65

\[\mathbf{Страница\ 65.}\]

\[\boxed{\mathbf{3.}}\]

\[\textbf{а)}\ 302 - (302 - 7) =\]

\[= 302 - 302 + 7 = 7\]

\[\textbf{б)} - 81 - ( - 81 + 5) =\]

\[= - 81 + 81 - 5 = - 5\]

\[\textbf{в)} - 72 + ( - 81 + 72) =\]

\[= - 72 - 81 + 72 = - 81\]

\[\textbf{г)}\ 200 - ( - 3 + 200) =\]

\[= 200 + 3 - 200 = 3\]

\[\textbf{д)}\ (78 - 93) - (68 - 93) =\]

\[= 78 - 93 - 68 + 93 = 10\]

\[\textbf{е)}\ ( - 65 + 13) + (87 + 65) =\]

\[= - 65 + 13 + 87 + 65 = 100\]

\[\textbf{ж)}\ ( - 58 + 14) - (6 - 58) =\]

\[= - 58 + 14 - 6 + 58 = 8\]

\[\textbf{з)}\ (108 - 34) - (76 + 108) =\]

\[= 108 - 34 - 76 - 108 = - 110\]

\[\boxed{\mathbf{4.}}\]

\[\textbf{а)}\ 63 - (33 - 57) =\]

\[= 63 - 33 + 57 = 87\]

\[\textbf{б)}\ 81 - (79 - 9) =\]

\[= 81 - 70 = 11\]

\[\textbf{в)}\ 204 - (42 + 58) =\]

\[= 204 - 100 = 104\]

\[\textbf{г)}\ 43 - (13 + 17) =\]

\[= 43 - 30 = 13\]

\[\textbf{д)}\ 104 - (104 - 7) =\]

\[= 104 - 104 + 7 = 7\]

\[\textbf{е)} - 38 + ( - 52 + 18) =\]

\[= - 38 + 52 - 18 =\]

\[= - 50 + 52 = 2\]

\[\boxed{\mathbf{5.}}\]

\[\textbf{а)}\ 95 - (65 + 38) =\]

\[= 95 - 65 - 38 =\]

\[= 30 - 38 = - 8\]

\[\textbf{б)}\ 83 - (53 + 27) =\]

\[= 83 - 80 = 3\]

\[\textbf{в)}\ 731 - (349 + 251) =\]

\[= 731 - 600 = 131\]

\[\textbf{г)}\ 638 - (438 - 205) =\]

\[= 638 - 438 + 205 =\]

\[= 200 + 205 = 405\]

\[\textbf{д)}\ 92 - 52 - 26 =\]

\[= 40 - 26 = 14\]

\[\textbf{е)}\ 71 - 32 - 28 =\]

\[= 71 - (32 + 28) =\]

\[= 71 - 60 = 11\]

\[\textbf{ж)}\ 576 - 476 - 83 =\]

\[= 100 - 83 = 17\]

\[\textbf{з)}\ 128 - 98 - 2 =\]

\[= 128 - (98 + 2) =\]

\[= 128 - 100 = 28\]

\[\boxed{\mathbf{6.}}\]

\[\textbf{а)} - (74 + 58) - (126 - 58) =\]

\[= - 74 - 58 - 126 + 58 = - 200\]

\[\textbf{б)}\ (373 - 546) - (73 - 646) =\]

\[= 373 - 546 - 73 + 646 =\]

\[= 300 + 100 = 400\]

\[\textbf{в)}\ (258 + 347) - (247 + 58) =\]

\[= 258 + 347 - 247 - 58 =\]

\[= 200 + 100 = 300\]

\[\textbf{г)} - (86 + 114) - (271 - 71) =\]

\[= - 200 - 200 = - 400\]

\[\textbf{д)}\ (44 + 27) - (44 - 27) =\]

\[= 44 + 27 - 44 + 27 = 54\]

\[\textbf{е)}\ (87 + 16) - (87 - 16) =\]

\[= 87 + 16 - 87 + 16 = 32\]

\[\boxed{\mathbf{7.}}\]

\[\textbf{а)}\ 15 - 8\frac{2}{5} \cdot 1\frac{11}{24} + 3\frac{5}{6} =\]

\[= 18\frac{5}{6} - \frac{42}{5} \cdot \frac{35}{24} =\]

\[= 18\frac{5}{6} - \frac{49}{4} = 18\frac{5}{6} - 12\frac{1}{4} =\]

\[= 18\frac{10}{12} - 12\frac{3}{12} = 6\frac{7}{12}\]

\[\textbf{б)}\ 18 - 10\frac{5}{6} \cdot 1\frac{13}{35} + 6\frac{5}{14} =\]

\[= 24\frac{5}{14} - \frac{65}{6} \cdot \frac{48}{35} =\]

\[= 24\frac{5}{14} - \frac{104}{7} = 24\frac{5}{14} - 14\frac{6}{7} =\]

\[= 23\frac{19}{14} - 14\frac{12}{14} = 9\frac{7}{14} = 9\frac{1}{2}\]