Упр.578 Часть 2 ГДЗ Виленкин Жохов 6 класс (Математика)

Задача

а) (6 3/5 : 6 — 8,016 * 0,125 + 2/15 * 0,03) * 2 3/4;
б) (9 3/20 — 1,24) : 2 1/3 + (3/4 + 2 5/8) : 0,625;
в) (70,4 * 51,6 — 3541,84) * (603,48 : 56,4) — 889,75.

Подробный ответ

а)

$$ (6\frac{3}{5}:6-8{,}016\cdot 0{,}125+\frac{2}{15}\cdot 0{,}03)\cdot 2\frac{3}{4} $$
$$ = (6{,}6:6-1{,}002+\frac{2}{15}\cdot \frac{3}{100})\cdot \frac{11}{4} $$
$$ = \left(1{,}1-1{,}002+\frac{1}{5}\cdot \frac{1}{50}\right)\cdot \frac{11}{4} $$
$$ = \left(0{,}098+\frac{1}{250}\right)\cdot \frac{11}{4} = (0{,}098+0{,}004)\cdot 2{,}75 $$
$$ = 0{,}102\cdot 2{,}75=0{,}2805. $$

б)

$$ (9\frac{3}{20}-1{,}24):2\frac{1}{3}+\left(\frac{3}{4}+2\frac{5}{8}\right):0{,}625 $$
$$ = (9{,}15-1{,}24):\frac{7}{3}+\left(\frac{6}{8}+2\frac{5}{8}\right):0{,}625 $$
$$ = 7{,}91:\frac{7}{3}+3\frac{1}{8}: \frac{625}{1000} $$
$$ = 1{,}13\cdot 3+3\frac{1}{8}:\frac{5}{8} = 3{,}39+\frac{27{,}8}{8}\cdot \frac{8}{5} $$
$$ = 3{,}39+\frac{27}{5} = 3{,}39+5{,}4 = 8{,}79. $$

в)

$$ (70{,}4\cdot 51{,}6-3541{,}84)\cdot (603{,}48:56{,}4)-889{,}75 $$
$$ = (3632{,}64-3541{,}84)\cdot 10{,}7-889{,}75 $$
$$ = 90{,}8\cdot 10{,}7-889{,}75 $$
$$ = 971{,}56-889{,}75 = 81{,}81. $$