Номер 320.
Преобразуйте произведение и вычислите его значение:
а) 75 ⋅ 14 ⋅ 18;
б) 16 ⋅ 125 ⋅ 4 ⋅ 35.
а) 75 ⋅ 14 ⋅ 18 = (25 ⋅ 5) ⋅ (7 ⋅ 2) ⋅ (2 ⋅ 9) = (25 ⋅ 2 ⋅ 2) ⋅ (3 ⋅ 7 ⋅ 9) = 100 ⋅ 189 = 18 900
б) 16 ⋅ 125 ⋅ 4 ⋅ 35 = (8 ⋅ 2) ⋅ 125 ⋅ 4⋅ (5 ⋅ 7) = (8 ⋅ 125) ⋅ (2 ⋅ 5) ⋅ (4 ⋅ 7) = 1 000 ⋅ 10 ⋅ 28 = 280 000