Решебник по математике 5 класс Виленкин Часть 1, 2 Часть 2. Параграф 6. Десятичные дроби Задание 183

\[\boxed{\text{6.183.}}\]

\[\textbf{а)}\ a = 6:\ \]

\[42,7a = 42,7 \cdot 6 = 256,2.\ \]

\[a = 38:\ \]

\[42,7a = 42,7 \cdot 38 = 1\ 622,6\text{.\ }\]

\[a = 100:\ \]

\[42,7a = 42,7 \cdot 100 = 4\ 270.\ \]

\[\textbf{б)}\ m = 4,5127\ и\ n = 8,2:\ \]

\[1\ 000m + n =\]

\[= 1\ 000 \cdot 4,5127 + 8,2 =\]

\[= 4\ 512,7 + 8,2 = 4\ 520,9.\ \]

\[\textbf{в)}\ y = 1,7\ и\ z = 4,3:\ \]

\[16y + 8z = 16 \cdot 1,7 + 8 \cdot 4,3 =\]

\[= 27,2 + 34,4 = 61,6.\ \]

\[\textbf{г)}\ 6,3c + 2,5c - 5,4c =\]

\[= 8,8c - 5,4c = 3,4c.\ \]

\[c = 5:\ \]

\[3,4c = 3,4 \cdot 5 = 17.\ \]

\[c = 15:\ \]

\[3,4c = 3,4 \cdot 15 = 51.\ \]

\[c = 30:\ \]

\[3,4c = 3,4 \cdot 30 = 102.\ \]

\[c = 150:\ \]

\[3,4c = 3,4 \cdot 150 =\]

\[= 3,4 \cdot 15 \cdot 10 = 510.\ \]

\[\textbf{д)}\ 9,5x + 4,8x + 5,7x =\]

\[= 14,3x + 5,7x = 20x.\ \]

\[x = 1,0023:\ \]

\[20x = 20 \cdot 1,0023 = 20,046.\ \]

\[x = 6,2345:\ \]

\[20x = 20 \cdot 6,2345 = 124,69.\ \]

\[\textbf{е)}\ 11,5z + 12,9z - 4,5z =\]

\[= 24,4z - 4,5z = 19,9z.\ \]

\[z = 2,0207:\ \]

\[19,9z = 19,9 \cdot 2,0207 =\]

\[= 40,21193.\ \]

\[z = 5,3467:\ \]

\[19,9z = 19,9 \cdot 5,3467 =\]

\[= 106,39933.\ \]

\[(Скорее\ всего\ в\ учебнике\ \]

\[опечатка,\ так\ как\ умножение\ \]

\[десятичной\ дроби\ \]

\[на\ десятичную\ дробь\ еще\ \]

\[не\ проходили).\]