Упр.1441 ГДЗ Мерзляк Полонский 5 класс (Математика)
- Выполните действия:
1) $$\frac{327 \cdot 84 + 207673}{47}$$;
2) $$\frac{924 \cdot 93 + 30271}{29}$$;
3) $$61-\left(\frac{1428}{136}+4{,}3\right)\cdot 3{,}4$$;
4) $$40-\left(\frac{2550}{204}-6{,}9\right)\cdot 6{,}7$$;
5) $$37{,}72:4{,}6-\left(1{,}43+2{,}728\right)\cdot 1{,}5$$;
6) $$98\cdot 0{,}035-0{,}0288:0{,}36-3:16$$;
7) $$\left(2{,}04-1\frac{1}{4}\right):\frac{1}{20}$$;
8) $$\left(3{,}42-2\frac{5}{8}\right):\frac{1}{50}$$;
9) $$23:\left(6\frac{5}{17}+1\frac{12}{17}\right)-\left(4\frac{2}{5}-2\frac{3}{5}\right):5$$;
10) $$\left(7\frac{4}{13}-4\frac{4}{13}\right):0{,}15-4:\left(13\frac{6}{13}+11\frac{7}{13}\right)$$;
11) $$\frac{5}{8}\cdot 2\frac{2}{3}-\frac{5}{6}:1\frac{7}{8}-4\frac{1}{6}:5$$;
12) $$\left(4\frac{1}{9}-3\frac{4}{15}\right)\cdot 1\frac{11}{19}-1\frac{5}{7}:2\frac{2}{7}$$.
1) $$(327 \cdot 84 + 207673) : 47 = (27468 + 207673) : 47 = 235141 : 47 = 5003$$
2) $$(924 \cdot 93 + 30271) : 29 = (85932 + 30271) : 29 = 116203 : 29 = 4007$$
3) $$61 — (1428 : 136 + 4,3)\cdot 3,4 = 61 — (10,5 + 4,3)\cdot 3,4 = 61 — 14,8 \cdot 3,4 = 61 — 50,32 = 10,68$$
4) $$40 — (2550 : 204 — 6,9)\cdot 6,7 = 40 — (12,5 — 6,9)\cdot 6,7 = 40 — 5,6 \cdot 6,7 = 40 — 37,52 = 2,48$$
5) $$37,72 : 4,6 — (1,43 + 2,728)\cdot 1,5 = 8,2 — 4,158 \cdot 1,5 = 8,2 — 6,237 = 1,963$$
6) $$98 \cdot 0,035 — 0,0288 : 0,36 — 3 : 16 = 3,43 — 0,08 — 0,1875 = 3,35 — 0,1875 = 3,1625$$
7) $$(2,04 — 1\tfrac{1}{4}) : \tfrac{1}{20} = (2,04 — 1,25) : 0,05 = 0,79 : 0,05 = 15,8$$
8) $$(3,42 — 2\tfrac{5}{8}) : \tfrac{1}{50} = (3,42 — 2,625) : 0,02 = 0,795 : 0,02 = 39,75$$
9) $$23 : (6\tfrac{5}{17} + 1\tfrac{12}{17}) — (4\tfrac{2}{5} — 2\tfrac{3}{5}) : 5 = 23 : 8 — 1\tfrac{4}{5} : 5 = 2,875 — 0,36 = 2,515$$
10) $$(7\tfrac{4}{13} — 4\tfrac{4}{13}) : 0,15 — 4 : (13\tfrac{6}{13} + 11\tfrac{7}{13}) = 3 : 0,15 — 4 : 25 = 20 — 0,16 = 19,84$$
11) $$\tfrac{5}{8}\cdot 2\tfrac{2}{3} — \tfrac{5}{6} : 1\tfrac{7}{8} — 4\tfrac{1}{6} : 5 = \tfrac{5}{8}\cdot \tfrac{8}{3} — \tfrac{5}{6} : \tfrac{15}{8} — \tfrac{25}{6} : 5$$
$$= \tfrac{5}{3} — \tfrac{5}{6}\cdot \tfrac{8}{15} — \tfrac{25}{6}\cdot \tfrac{1}{5} = \tfrac{5}{3} — \tfrac{4}{9} — \tfrac{5}{6}$$
$$= \tfrac{30}{18} — \tfrac{8}{18} — \tfrac{15}{18} = \tfrac{7}{18}$$
12) $$(4\tfrac{1}{9} — 3\tfrac{4}{15})\cdot 1\tfrac{11}{19} — 1\tfrac{5}{7} : 2\tfrac{2}{7} = \left(4\tfrac{5}{45} — 3\tfrac{12}{45}\right)\cdot \tfrac{30}{19} — \tfrac{12}{7} : \tfrac{16}{7}$$
$$= \left(\tfrac{38}{9} — \tfrac{47}{15}\right)\cdot \tfrac{30}{19} — \tfrac{12}{7}\cdot \tfrac{7}{16} = \tfrac{19}{45}\cdot \tfrac{30}{19} — \tfrac{3}{4}$$
$$= \tfrac{2}{3} — \tfrac{3}{4} = \tfrac{8}{12} — \tfrac{9}{12} = -\tfrac{1}{12}$$
Ответ
1) 5003; 2) 4007; 3) 10,68; 4) 2,48; 5) 1,963; 6) 3,1625; 7) 15,8; 8) 39,75; 9) 2,515; 10) 19,84; 11) $$\tfrac{7}{18}$$; 12) $$-\tfrac{1}{12}$$.
