Question

Рассмотри равенство:(a+b)·c=a·c+b·c о чём оно говорит? используя распределительный закон умножения, составь из данных выражении верные равенства (8+9)×8 5×7+3×7 6×8+7×8 (7+9+5)×9 7×9+9×9+5×9 8×8+9×8 Помогите

Answer 1

(8+9)×8=8×8+8×9
5×7+3×7=(5+3)×7
6×8+7×8=(6+7)×8
(7+9+5)×9=7×9+9×9+5×9

Answer 2

Understanding the Equation

The equation (a+b)·c=a·c+b·c represents the distributive property of multiplication over addition. This property states that when a sum is multiplied by a number, the result is the same as if each addend had been multiplied by that number and then added together.

Using the Distributive Law

Applying the distributive law to the given expressions, we can derive the following valid equalities: (8+9)×8 = 8×8 + 9×8 5×7 + 3×7 = (5+3)×7 6×8 + 7×8 = (6+7)×8 (7+9+5)×9 = 7×9 + 9×9 + 5×9 8×8 + 9×8 = (8+9)×8

Calculating the Values

Let's calculate the values using the distributive law: - (8+9)×8 = 17×8 = 136 - 5×7 + 3×7 = 35 + 21 = 56 - 6×8 + 7×8 = 48 + 56 = 104 - (7+9+5)×9 = 21×9 = 189 - 8×8 + 9×8 = 64 + 72 = 136

So, the valid equalities are: - 136 = 136 - 56 = 56 - 104 = 104 - 189 = 189 - 136 = 136

The distributive law of multiplication over addition holds true for the given expressions.

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