Question

Найдите значение выражения,используя распределительные свойство умножения 18*(1/3-1/9)=(2-3/4-4/5)*20=(1-1/3-1/6-1/9)*18=(5/6+5/9)*18/25=помогите пожалуйста решить

Answer 1

18 * (1/3  - 1/9 ) = 18  * 1/3   -  18  * 1/9 = 18/3  -  18/9 = 6 - 2 = 4

(2 -  3/4 -  4/5 ) * 20 = 2*20  -  3/4  *20  - 4/5  *20  = 40 - 60/4  - 80/5=
=40 - 15 -16= 40 - 31 =  9

(1 - 1/3  - 1/6  - 1/9 ) * 18  =  1*18  -  1/3  *18  -  1/6  *18  -  1/9  *18 =
 = 18  - 6  - 3  - 2 = 18 - 11 = 7

(5/6  + 5/9 )  *  18/25 =  5/6   *  18/25   + 5/9  * 18/25  =
= 3/5   +  2/5 = 5/5 =1

Answer 2

Distributive Property of Multiplication

The distributive property of multiplication states that for any real numbers a, b, and c:

a * (b + c) = (a * b) + (a * c)

Using the distributive property, we can simplify the given expression step by step:

1. 18 * (1/3 - 1/9) Applying the distributive property, we can distribute the multiplication of 18 to both terms inside the parentheses: 18 * (1/3) - 18 * (1/9) Simplifying the multiplication: 6 - 2 The result is 4.

2. (2 - 3/4 - 4/5) * 20 Again, applying the distributive property, we can distribute the multiplication of 20 to all the terms inside the parentheses: 2 * 20 - (3/4) * 20 - (4/5) * 20 Simplifying the multiplication: 40 - 15 - 16 The result is 9.

3. (1 - 1/3 - 1/6 - 1/9) * 18 Distributing the multiplication of 18 to all the terms inside the parentheses: 1 * 18 - (1/3) * 18 - (1/6) * 18 - (1/9) * 18 Simplifying the multiplication: 18 - 6 - 3 - 2 The result is 7.

4. (5/6 + 5/9) * 18/25 Adding the fractions inside the parentheses: (5/6 + 5/9) * 18/25 Finding a common denominator for 6 and 9, which is 18: (15/18 + 10/18) * 18/25 Adding the fractions: 25/18 * 18/25 The numerator and denominator cancel out, leaving us with: 1 The result is 1.

Therefore, the values of the given expressions are: - 18 * (1/3 - 1/9) = 4 - (2 - 3/4 - 4/5) * 20 = 9 - (1 - 1/3 - 1/6 - 1/9) * 18 = 7 - (5/6 + 5/9) * 18/25 = 1

Please let me know if there's anything else I can help you with!