Завдання:
Обчисли значення виразу найзручнішим способом:
1) 4972 ⋅ 17 + 28 ⋅ 4972 – 35 ⋅ 4972;
2) 14 592 + 14 592 ⋅ 2 + 14 592 ⋅ 3 + 14 592 ⋅ 4;
3) 5983 ⋅ 14 + 5983 ⋅ 11 – 4983 ⋅ 25;
4) 7182 ⋅ 164 – (6182 ⋅ 127 + 6182 ⋅ 37).
Розв'язок:
1) 4972 ⋅ 17 + 28 ⋅ 4972 – 35 ⋅ 4972 = 4972 • (17 + 28 - 35) = 4972 • 10 = 49 720
2) 14 592 + 14 592 ⋅ 2 + 14 592 ⋅ 3 + 14 592 ⋅ 4 = 14 592 • (1 + 2 + 3 + 4) = 14 592 • 10 = 145 920
3) 5983 ⋅ 14 + 5983 ⋅ 11 – 4983 ⋅ 25 = 5983 • (14 + 11) - 4983 • 25 = 149 575 - 124 575 = 25 000
4) 7182 ⋅ 164 – (6182 ⋅ 127 + 6182 ⋅ 37) = 7182 • 164 - 6182 • (127 + 37) = (7182 - 6182) • 164 = 164 000