Упр.807 ГДЗ Ткачёва 6 класс (Математика)
- $$(-0{,}48+3{,}4\cdot(-2{,}7)):(-4{,}6)-3{,}19$$
- $$(9{,}45:(-6{,}3)-5{,}1)\cdot2{,}3+24{,}5$$
- $$\frac{\left(2\frac{7}{8}-4\frac{1}{6}\right)\cdot2{,}4}{1{,}8+1{,}3}$$
- $$\frac{\left(1\frac{1}{4}-3\frac{3}{7}\right)\cdot5{,}6}{2{,}2+3{,}9}$$
- $$-2\frac{1}{2}\cdot\frac{4}{15}-\left(4-3\frac{3}{5}\right)^2$$
- $$\left(3-\left(1\frac{1}{2}\right)^3\right)\cdot\left(-5+4\frac{5}{9}\right)$$
- $$\frac{0{,}12-3{,}6\cdot\frac{1}{20}}{1\frac{1}{5}-2\frac{2}{5}}+1\frac{1}{4}\cdot0{,}2$$
1) $$(-0,48 + 3,4 \cdot (-2,7)) : (-4,6) — 3,19$$
$$3,4 \cdot (-2,7) = -9,18$$
$$-0,48 + (-9,18) = -9,66$$
$$-9,66 : (-4,6) = 2,1$$
$$2,1 — 3,19 = -1,09$$
2) $$(9,45 : (-6,3) — 5,1) \cdot 2,3 + 24,5$$
$$9,45 : (-6,3) = -1,5$$
$$-1,5 — 5,1 = -6,6$$
$$-6,6 \cdot 2,3 = -15,18$$
$$-15,18 + 24,5 = 9,32$$
3) $$\frac{(2 \frac{7}{8} — 4 \frac{1}{6}) \cdot 2,4}{1,8 + 1,3}$$
$$2 \frac{7}{8} = \frac{23}{8}, \quad 4 \frac{1}{6} = \frac{25}{6}$$
$$\frac{23}{8} — \frac{25}{6} = \frac{69 — 100}{24} = -\frac{31}{24} = -1 \frac{7}{24}$$
$$-\frac{31}{24} \cdot 2,4 = -\frac{31}{24} \cdot \frac{12}{5} = -\frac{31}{10} = -3,1$$
$$1,8 + 1,3 = 3,1$$
$$-3,1 : 3,1 = -1$$
4) $$\frac{(1 \frac{1}{4} — 3 \frac{3}{7}) \cdot 5,6}{2,2 + 3,9}$$
$$1 \frac{1}{4} = \frac{5}{4}, \quad 3 \frac{3}{7} = \frac{24}{7}$$
$$\frac{5}{4} — \frac{24}{7} = \frac{35 — 96}{28} = -\frac{61}{28} = -2 \frac{5}{28}$$
$$-\frac{61}{28} \cdot 5,6 = -\frac{61}{28} \cdot \frac{56}{10} = -\frac{122}{10} = -12,2$$
$$2,2 + 3,9 = 6,1$$
$$-12,2 : 6,1 = -2$$
5) $$-2 \frac{1}{2} \cdot \frac{4}{15} — \left(4 — 3 \frac{3}{5}\right)^2$$
$$-2 \frac{1}{2} = -\frac{5}{2}$$
$$-\frac{5}{2} \cdot \frac{4}{15} = -\frac{2}{3}$$
$$4 — 3 \frac{3}{5} = 4 — \frac{18}{5} = \frac{2}{5}$$
$$\left(\frac{2}{5}\right)^2 = \frac{4}{25}$$
$$-\frac{2}{3} — \frac{4}{25} = -\frac{50}{75} — \frac{12}{75} = -\frac{62}{75}$$
6) $$(3 — (1 \frac{1}{2})^3) \cdot (-5 + 4 \frac{5}{9})$$
$$1 \frac{1}{2} = \frac{3}{2}, \quad \left(\frac{3}{2}\right)^3 = \frac{27}{8} = 3 \frac{3}{8}$$
$$3 — 3 \frac{3}{8} = -\frac{3}{8}$$
$$-5 + 4 \frac{5}{9} = -5 + \frac{41}{9} = -\frac{4}{9}$$
$$-\frac{3}{8} \cdot \left(-\frac{4}{9}\right) = \frac{12}{72} = \frac{1}{6}$$
7) $$\frac{0,12 — 3,6 \cdot \frac{1}{20}}{1 \frac{1}{5} — 2 \frac{2}{5}} + 1 \frac{1}{4} \cdot 0,2$$
$$3,6 \cdot \frac{1}{20} = 0,18$$
$$0,12 — 0,18 = -0,06$$
$$1 \frac{1}{5} — 2 \frac{2}{5} = 1,2 — 2,4 = -1,2$$
$$-0,06 : (-1,2) = 0,05$$
$$1 \frac{1}{4} \cdot 0,2 = 1,25 \cdot 0,2 = 0,25$$
$$0,05 + 0,25 = 0,3$$
Ответ
1) $$-1,09$$; 2) $$9,32$$; 3) $$-1$$; 4) $$-2$$; 5) $$-\frac{62}{75}$$; 6) $$\frac{1}{6}$$; 7) $$0,3$$.
