Question

X= -1/8 ,y= -2/5 ,z= 10/12 find the answer if x*( y* z ) = ( x* y ) * z ​

Answer 1

a. x × (y + z) = -13/240

c. x × (y × z) = 1/24

Explanation:

The given values of the variables are;

`x = (-1)/(8) , y = (-2)/(5) \ and \ z = (10)/(12)`

a. x × (y + z) = (x × y) + (x × z), by distributive property

Plugging in the values gives;

`(-1)/(8) * \left ((-2)/(5) + (10)/(12) \right) = \left ( (-1)/(8) *(-2)/(5) \right) + \left ( (-1)/(8) * (10)/(12) \right)`

`(-1)/(8) * \left ((-2)/(5) + (10)/(12) \right) = (-1)/(8) * \left ((13)/(30) \right) = (-13)/(240)`

`\left ( (-1)/(8) *(-2)/(5) \right) + \left ( (-1)/(8) * (10)/(12) \right) = (1)/(20) + (-5)/(48) = (-13)/(240)`

Therefore;

`(-1)/(8) * \left ((-2)/(5) + (10)/(12) \right) = \left ( (-1)/(8) *(-2)/(5) \right) + \left ( (-1)/(8) * (10)/(12) \right) = (-13)/(240)`

c. x × (y × z) = (x × y) × z

Plugging in the values for 'x', 'y', and 'z' gives;

`(-1)/(8) * \left ((-2)/(5) * (10)/(12) \right) = \left ( (-1)/(8) *(-2)/(5) \right) * \left ( (10)/(12) \right) = (1)/(24)`