Question

Verify the property x * (y + z) = x * y + x * z of rational numbers by taking

a) x = -1/2, y=¾ and z= ¼​

Answer 1

Answer:

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Step-by-step explanation:

GIVEN THAT :

x = -1/2, y = 3/4, z = 1/4

TO VERIFY :

x * (y + z) = x * y + x * z

SOLUTION :

Put the values of x= -1/2, y=3/4 and z=1/4 in LHS and RHS

Left hand side (LHS) :

(-1/2)*(3/4 + 1/4) = (-1/2) (1) = -1/2

Right hand side (RHS) :

[ (-1/2) * (3/4) ] + [ (-1/2) * (1/4) ]

= [ (-3/8) + (-1/8) ]

= (-3-1) / 8

= -4 / 8

= - 1 / 2

So, LHS=RHS.

Hence Proved.

Answer 2

Answer:

GIVEN THAT :

x = -1/2, y = 3/4, z = 1/4  

TO VERIFY :  

x * (y + z) = x * y + x * z  

SOLUTION :  

Put the values of x= -1/2, y=3/4 and z=1/4 in LHS and RHS  

Left hand side (LHS) :  

(-1/2)*(3/4 + 1/4) = (-1/2) (1) = -1/2  

Right hand side (RHS) :

[ (-1/2) * (3/4) ] + [ (-1/2) * (1/4) ]

= [ (-3/8) + (-1/8) ]

= (-3-1) / 8  

= -4 / 8  

= - 1 / 2

So, LHS=RHS.  

Hence Proved.

Step-by-step explanation:

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