Question

If a=3/ 2 , = −1/ 3 , = 12/ 5 verify Associative property of addition of rational numbers.

Answer 1

Answer:

Associative property states that integers can be grouped in any order of integers over addition . (a + b) + c = a + (b + c)

Step-by-step explanation:

a=3/ 2               b=−1/ 3,                c= 12/ 5

Then, (a + b) + c = a + (b + c)

     =   (3/2 + -1/3) + 12/5 = 3/2 + (-1/3 + 12/5)    

     =   (9-2)/6 + 12/5 = 3/2 + (-5+36)/15

     =   7/6 + 12/5 = 3/2 + 31/15

     =   (35+72)/30 = (45+62)/30

     =   107/30 = 107/30

Thus we see that integers can be grouped in any order over addition ..