Question

Verify associativity of addition of rational number is (x+y)+z=x+(y+z). X= 1/2, y=2/3, z=-1/5

Answer 1

Step-by-step explanation:

(X+y)+z=X+(y+z)

by putting the value

(1/2+2/3)+-1/5=1/2+(2/3-1/5)

LHS

(1/2+2/3)-1/5

(3+4/6)-1/5

7/6-1/5

35-6/30

29/30

RHS

1/2+(2/3-1/5)

1/2+(10-3/15)

1/2+7/15

15+14/30

29/30

•°•LHS=RHS

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Answer 2

Answer:

Step-by-step explanation:

i) In order to verify this property, let us consider the following expressions:

Verification:

1/ 2 + [ 2 /3 + ( − 1 /5 ) ] = 1 /2 + [ 10 /15 − 3 /15 ]

=  1 /2 + 7 /15

=  (15 + 14)/30

= 29/30

AND,

( 1 /2 + 2 /3 ) + ( − 1 /5 ) = ( 3/ 6 + 4/ 6 ) − 1 /5

=  7 /6 − 1 /5

=  (35 − 6) /30

= 29/30

Therefore,

The associative property of additional of rational numbers has been verified ....

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