Упр.743 ГДЗ Муравин 6 класс (Математика)

Найдите значение выражения:

1. $$\left(209\cdot37-29\cdot101+324\cdot9\right)\div20$$;
2. $$\left(807\cdot23-73^2-416\div13\right)\div16$$;
3. $$\left(204\cdot37+34\,992\div324\div9\right)\div280$$;
4. $$\left(\left(13^3-31^2\right)\div12+2055\div15\right)\div12$$;
5. $$108\,114\div487-10\,137\div93$$;
6. $$\left(33\,100-5776\right)\div\left(593+419\right)$$.

1) $$\left(209\cdot 37-29\cdot 101+324\cdot 9\right):20$$

$$209\cdot 37=7733,\quad 29\cdot 101=2929,\quad 324\cdot 9=2916$$
$$7733-2929+2916=4804+2916=7720$$
$$7720:20=386$$

2) $$\left(807\cdot 23-73^2-416:13\right):16$$

$$807\cdot 23=18561,\quad 73^2=5329,\quad 416:13=32$$
$$18561-5329-32=13232-32=13200$$
$$13200:16=825$$

3) $$\left(204\cdot 37+34992:324:9\right):280$$

$$204\cdot 37=7548$$
$$34992:324=108,\quad 108:9=12$$
$$7548+12=7560$$
$$7560:280=27$$

4) $$\left(\left(13^3-31^2\right):12+2055:15\right):12$$

$$13^3=2197,\quad 31^2=961,\quad 2055:15=137$$
$$2197-961=1236$$
$$1236:12=103$$
$$103+137=240$$
$$240:12=20$$

5) $$108114:487-10137:93$$

$$108114:487=222,\quad 10137:93=109$$
$$222-109=113$$

6) $$\left(33100-5776\right):\left(593+419\right)$$

$$33100-5776=27324,\quad 593+419=1012$$
$$27324:1012=27$$

Ответ

1) 386; 2) 825; 3) 27; 4) 20; 5) 113; 6) 27.