Математика, 7 класс
Краткое пояснение: Упрощение выражений включает в себя выполнение арифметических операций и приведение подобных слагаемых.
1) Упростим выражение: 2a - (-7k) = 14ac
2a + 7k = 14ac
2) Упростим выражение: 9 - (13/4)a ⋅ (-13/7)
9 - (13/4)a ⋅ (-13/7) = 9 + (169/28)a
3) Упростим выражение: 8/7 ⋅ (-14c) ⋅ (-5/4)
8/7 ⋅ (-14c) ⋅ (-5/4) = (8 ⋅ (-14) ⋅ (-5))/(7 ⋅ 4) ⋅ c = 560/28 ⋅ c = 20c
4) Упростим выражение: 9 - 4a ⋅ 5b ⋅ (-0,4c)
9 - 4a ⋅ 5b ⋅ (-0,4c) = 9 + 4 ⋅ 5 ⋅ 0,4 ⋅ abc = 9 + 8abc
5) Упростим выражение: 1 - 0,6 ⋅ 5 ⋅ z ⋅ (-20)
1 - 0,6 ⋅ 5 ⋅ z ⋅ (-20) = 1 + 0,6 ⋅ 5 ⋅ 20 ⋅ z = 1 + 60z
6) Упростим выражение: 5/9 ⋅ a ⋅ 9/20 ⋅ b ⋅ 6 ⋅ 3z
5/9 ⋅ a ⋅ 9/20 ⋅ b ⋅ 6 ⋅ 3z = (5 ⋅ 9 ⋅ 6 ⋅ 3)/(9 ⋅ 20) ⋅ abz = (5 ⋅ 6 ⋅ 3)/20 ⋅ abz = 90/20 ⋅ abz = 9/2 ⋅ abz = 4,5abz
7) Упростим выражение: (a + 3 + y) - (a + y - 21,4)
(a + 3 + y) - (a + y - 21,4) = a + 3 + y - a - y + 21,4 = a - a + y - y + 3 + 21,4 = 24,4
8) Упростим выражение: -(a + k) + (z + a) - (z - 0,26)
-(a + k) + (z + a) - (z - 0,26) = -a - k + z + a - z + 0,26 = -a + a + z - z - k + 0,26 = -k + 0,26
Ответ: Результаты упрощения выражений выше.