\[\boxed{\text{1.}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[1)\ 13 \cdot (10 + 2) = 13 \cdot 12 = 156.\]
\[13 \cdot 10 + 13 \cdot 2 = 130 + 26 =\]
\[= 156.\]
\[13 \cdot (10 + 2) = 13 \cdot 10 + 13 \cdot 2.\]
\[2)\ 15 \cdot (10 \cdot 2) = 15 \cdot 20 = 300\]
\[15 \cdot 10 \cdot 2 = 150 \cdot 2 = 300.\]
\[15 \cdot (10 \cdot 2) = 15 \cdot 10 \cdot 2.\]
\[3)\ (20 + 5) \cdot 4 = 25 \cdot 4 = 100\]
\[20 + 5 \cdot 4 = 20 + 20 = 40\]
\[(20 + 5) \cdot 4 \neq 20 + 5 \cdot 4.\]
\[4)\ 72\ :(8 \cdot 3) = 72\ :24 = 3\]
\[72\ :8 \cdot 3 = 9 \cdot 3 = 27\]
\[72\ :(8 \cdot 3) \neq 72\ :8 \cdot 3.\ \]
\[\boxed{\text{2.}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[\boxed{\text{3.}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[1)\ Если\ a = 30\ 100,\ b = 20\ 935,\]
\[\ то:\]
\[a + b = 30\ 100 + 20\ 935 =\]
\[= 51\ 035.\ \]
\[a - b = 30\ 100 - 20\ 935 =\]
\[= 9\ 165.\]
\[2)\ Если\ a = 28\ 005,\ b = 13\ 706,\ \]
\[то:\]
\[a + b = 28\ 005 + 13\ 706 =\]
\[= 41\ 711.\]
\[a - b = 28\ 005 - 13\ 706 =\]
\[= 14\ 299.\ \]
\[\boxed{\text{4.}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[Если\ c = 6\ 030,\ d = 90,\ то:\]
\[c \cdot d = 6\ 030 \cdot 90 = 542\ 700.\]
\[c\ :d = 6\ 030\ :90 = 67.\]
\[\boxed{\text{5.}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[87 \cdot 64 + 87 \cdot 36 =\]
\[= 87 \cdot (64 + 36) = 87 \cdot 100 =\]
\[= 8\ 700.\]
\[39 \cdot 16 + 39 \cdot 4 =\]
\[= 39 \cdot (16 + 4) = 39 \cdot 20 = 780.\]
\[96 \cdot 77 - 96 \cdot 76 =\]
\[= 96 \cdot (77 - 76) = 96 \cdot 1 = 96.\]
\[48 \cdot 61 - 40 \cdot 61 =\]
\[= 61 \cdot (48 - 40) = 61 \cdot 8 = 488.\]
\[24 \cdot 49 + 24 = 24 \cdot (49 + 1) =\]
\[= 24 \cdot 50 = 1\ 200.\]
\[34 \cdot 21 - 34 = 34 \cdot (21 - 1) =\]
\[= 34 \cdot 20 = 680.\]
\[\boxed{\text{6.}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[1)\ 36\ 150\ :50 < 2\ 010 - 1\ 285 -\]
\[верно.\]
\[723 < 725.\]
\[2)\ 701 \cdot 322 > 200\ 000 - верно.\]
\[225\ 722 > 200\ 000.\]
\[\boxed{\text{7.}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[\boxed{\text{8.}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[= 288\ 000 - 195\ 046 = 92\ 954.\]
\[= 83\ 249 + 536\ 800 = 620\ 049.\]
\[= 264\ 037 + 574 - 17\ 080 =\]
\[= 264\ 611 - 17\ 080 = 247\ 531.\]
\[= 450\ 430 - 280 + 98\ 764 =\]
\[= 450\ 150 + 98\ 764 = 548\ 914.\]
\[\boxed{\text{9.}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[Проверка:\]
\[50 \cdot 7 + 37 = 350 + 37 = 387.\]
\[Проверка:\]
\[5\ 880 + 13 = 5\ 893.\]
\[Проверка:\]
\[200 \cdot 3 + 164 = 600 + 164 =\]
\[= 764.\]
\[Проверка:\]
\[9\ 000 + 361 = 9\ 361.\ \]
\[\boxed{\text{10.}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[32 \cdot 40 + 32 \cdot 6 =\]
\[= 32 \cdot (40 + 6) = 32 \cdot 46.\]
\[23 \cdot 50 + 23 \cdot 4 =\]
\[= 23 \cdot (50 + 4) = 23 \cdot 54.\]
\[46 \cdot 30 + 46 \cdot 2 =\]
\[= 46 \cdot (30 + 2) = 46 \cdot 32.\]
\[54 \cdot 20 + 54 \cdot 3 =\]
\[= 54 \cdot (20 + 3) = 54 \cdot 23.\ \]
\[\boxed{\text{11.}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[x \cdot 4 = 280\]
\[x = 280\ :4\]
\[x = 70.\]
\[750\ :x = 50\]
\[x = 750\ :50\]
\[x = 75\ :5\]
\[x = 15.\]