6. Выполните действие, применив распределительное свойство умножения: a) 2 ⋅ 14 + 6 ⋅ 2 б) 18 ⋅ 4 - 8 ⋅ 4 в) 17 ⋅ 6 + 4 ⋅ 17 г) 22 ⋅ 3 - 3 ⋅ 2 д) 1,5 ⋅ 14 - 4 ⋅ 1,5 e) 0,8 ⋅ 0,5 + 0,8 ⋅ 0,3 ж) 18 ⋅ 1,2 + 2 ⋅ 1,2 з) 2/5 ⋅ 4/9 + 2/5 ⋅ 5/9

Выполняем действие, применив распределительное свойство умножения:

• а) 2 ⋅ 14 + 6 ⋅ 2 = 2 ⋅ (14 + 6) = 2 ⋅ 20 = 40
• б) 18 ⋅ 4 - 8 ⋅ 4 = 4 ⋅ (18 - 8) = 4 ⋅ 10 = 40
• в) 17 ⋅ 6 + 4 ⋅ 17 = 17 ⋅ (6 + 4) = 17 ⋅ 10 = 170
• г) 22 ⋅ 3 - 3 ⋅ 2 = 3 ⋅ (22 - 2) = 3 ⋅ 20 = 60
• д) 1,5 ⋅ 14 - 4 ⋅ 1,5 = 1,5 ⋅ (14 - 4) = 1,5 ⋅ 10 = 15
• e) 0,8 ⋅ 0,5 + 0,8 ⋅ 0,3 = 0,8 ⋅ (0,5 + 0,3) = 0,8 ⋅ 0,8 = 0,64
• ж) 18 ⋅ 1,2 + 2 ⋅ 1,2 = 1,2 ⋅ (18 + 2) = 1,2 ⋅ 20 = 24
• з) \(\frac{2}{5} \cdot \frac{4}{9} + \frac{2}{5} \cdot \frac{5}{9} = \frac{2}{5} \cdot (\frac{4}{9} + \frac{5}{9}) = \frac{2}{5} \cdot \frac{9}{9} = \frac{2}{5} \cdot 1 = \frac{2}{5} = 0,4\)