Question

in substraction associative in rational number explain with example​

Answer 1

Answer:

subtraction is NOT associative in rational numbers.

Step-by-step explanation:

Let a, b and c be three rational numbers.

Then, according to the associative property,

(a-b)-c=a-(b-c).

let us take an example,

a= 1/2 ; b=3/2;c=5/2

Then,

L.H.S.=(a-b)-c= [(1/2) - (3/2)] - (5/2)

= (-2/2) - (5/2)

= -7/2

R.H.S.=a-(b-c)=(1/2) - [(3/2) - (5/2)]

= (1/2) - (-2/2)

= 3/2

So, L.H.S. ≠ R.H.S.

Hence, subtraction is NOT associative in rational numbers.