ГДЗ ГДЗ Математика 5 класс учебник Мерзляк, Полонский - Номера упражнений - 1441

Задание:

Номер 1441
Выполните действия:

Решение:

1) \((327 \cdot 84 + 207673\) : 47)

$$ 327 \cdot 84 = 27468 $$

$$ 27468 + 207673 = 235141 $$

$$ 235141 : 47 = 5003 $$

Ответ: \(5003\)

2) \((924 \cdot 93 + 30271\) : 29)

$$ 924 \cdot 93 = 85932 $$

$$ 85932 + 30271 = 116203 $$

$$ 116203 : 29 = 4007 $$

Ответ: \(4007\)

3) \(61 - (1428 : 136 + 4{,}3\)\cdot 3{,}4)

$$ 1428 : 136 = 10{,}5 $$

$$ 10{,}5 + 4{,}3 = 14{,}8 $$

$$ 14{,}8 \cdot 3{,}4 = 50{,}32 $$

$$ 61 - 50{,}32 = 10{,}68 $$

Ответ: \(10{,}68\)

4) \(40 - (2550 : 204 - 6{,}9\)\cdot 6{,}7)

$$ 2550 : 204 = 12{,}5 $$

$$ 12{,}5 - 6{,}9 = 5{,}6 $$

$$ 5{,}6 \cdot 6{,}7 = 37{,}52 $$

$$ 40 - 37{,}52 = 2{,}48 $$

Ответ: \(2{,}48\)

5) \(37{,}72 : 4{,}6 - (1{,}43 + 2{,}728\)\cdot 1{,}5)

$$ 37{,}72 : 4{,}6 = 8{,}2 $$

$$ 1{,}43 + 2{,}728 = 4{,}158 $$

$$ 4{,}158 \cdot 1{,}5 = 6{,}237 $$

$$ 8{,}2 - 6{,}237 = 1{,}963 $$

Ответ: \(1{,}963\)

6) \(98 \cdot 0{,}035 - 0{,}288 : 0{,}36 - 3 \cdot 16\)

$$ 98 \cdot 0{,}035 = 3{,}43 $$

$$ 0{,}288 : 0{,}36 = 0{,}8 $$

$$ 3 \cdot 16 = 48 $$

$$ 3{,}43 - 0{,}8 - 48 = -45{,}37 $$

Ответ: \(-45{,}37\)

7) \((2{,}04 - 1\tfrac{1}{4}\) : \tfrac{1}{20})

$$ 1\tfrac{1}{4} = 1{,}25 $$

$$ 2{,}04 - 1{,}25 = 0{,}79 $$

$$ 0{,}79 : \tfrac{1}{20} = 0{,}79 \cdot 20 = 15{,}8 $$

Ответ: \(15{,}8\)

8) \(\left(3{,}42 - 2\tfrac{5}{8}\right\) : \tfrac{1}{50})

$$ 2\tfrac{5}{8} = 2{,}625 $$

$$ 3{,}42 - 2{,}625 = 0{,}795 $$

$$ 0{,}795 : \tfrac{1}{50} = 0{,}795 \cdot 50 = 39{,}75 $$

Ответ: \(39{,}75\)

9) \(23 : \left(6\tfrac{5}{17} + 1\tfrac{12}{17}\right\) - \left\(4\tfrac{2}{5} - 2\tfrac{3}{5}\right\) : 5)

$$ 6\tfrac{5}{17} + 1\tfrac{12}{17} = 7 + \frac{17}{17} = 8 $$

$$ 23 : 8 = \frac{23}{8} $$

$$ 4\tfrac{2}{5} - 2\tfrac{3}{5} = 1\tfrac{4}{5} = \frac{9}{5} $$

$$ \frac{9}{5} : 5 = \frac{9}{25} $$

$$ \frac{23}{8} - \frac{9}{25} = \frac{575 - 72}{200} = \frac{503}{200} = 2{,}515 $$

Ответ: \(2{,}515\)

10) \(\left(7\tfrac{4}{13} - 4\tfrac{4}{13}\right\) : 0{,}15 - 4 : \left\(13\tfrac{6}{13} + 11\tfrac{7}{13}\right\))

$$ 7\tfrac{4}{13} - 4\tfrac{4}{13} = 3 $$

$$ 3 : 0{,}15 = 20 $$

$$ 13\tfrac{6}{13} + 11\tfrac{7}{13} = 25 + \frac{13}{13} = 26 $$

$$ 4 : 26 = \frac{2}{13} $$

$$ 20 - \frac{2}{13} = \frac{260 - 2}{13} = \frac{258}{13} = 19\tfrac{11}{13} $$

Ответ: \(19\tfrac{11}{13}\)

11) \(\frac{5}{8}\cdot 2\tfrac{2}{3} - \frac{5}{6} : 1\tfrac{7}{8} - 4\tfrac{1}{6} : 5\)

$$ 2\tfrac{2}{3} = \frac{8}{3} $$

$$ \frac{5}{8}\cdot \frac{8}{3} = \frac{5}{3} $$

$$ 1\tfrac{7}{8} = \frac{15}{8}, \qquad \frac{5}{6} : \frac{15}{8} = \frac{5}{6}\cdot \frac{8}{15} = \frac{4}{9} $$

$$ 4\tfrac{1}{6} = \frac{25}{6}, \qquad \frac{25}{6} : 5 = \frac{25}{30} = \frac{5}{6} $$

$$ \frac{5}{3} - \frac{4}{9} - \frac{5}{6} $$

Приведём к общему знаменателю \(18\):

$$ \frac{30}{18} - \frac{8}{18} - \frac{15}{18} = \frac{7}{18} $$

Ответ: \(\frac{7}{18}\)

12) \(\left(4\tfrac{1}{9} - 3\tfrac{4}{15}\right\)\cdot 1\tfrac{11}{19} - 1\tfrac{5}{7} : 2\tfrac{2}{7})

$$ 4\tfrac{1}{9} = \frac{37}{9}, \qquad 3\tfrac{4}{15} = \frac{49}{15} $$

$$ \frac{37}{9} - \frac{49}{15} = \frac{185 - 147}{45} = \frac{38}{45} $$

$$ 1\tfrac{11}{19} = \frac{30}{19} $$

$$ \frac{38}{45}\cdot \frac{30}{19} = \frac{4}{3} $$

$$ 1\tfrac{5}{7} = \frac{12}{7}, \qquad 2\tfrac{2}{7} = \frac{16}{7} $$

$$ \frac{12}{7} : \frac{16}{7} = \frac{12}{16} = \frac{3}{4} $$

$$ \frac{4}{3} - \frac{3}{4} = \frac{16 - 9}{12} = \frac{7}{12} $$

Ответ: \(\frac{7}{12}\)

Итоговые ответы

1. \(5003\)
2. \(4007\)
3. \(10{,}68\)
4. \(2{,}48\)
5. \(1{,}963\)
6. \(-45{,}37\)
7. \(15{,}8\)
8. \(39{,}75\)
9. \(2{,}515\)
10. \(19\tfrac{11}{13}\)
11. \(\frac{7}{18}\)
12. \(\frac{7}{12}\)