Question

4. Verify the associative law of addition for the following groups of rational numbers.

Pls Answer Correctly. ​

Answer 1

Answer: Associative law of addition formula

(a+b)+c = a+(b+c)

Step-by-step explanation:

a) solution:- Given,

1/2,-2/3 and 1/5

To verify we use the formula,

(a+b)+c = a+(b+c)

here, let a = 1/2 , b = -2/3, and c = 1/5

Now, L.H.S = (a+b)+c

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

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

= 3-4/6 + 1/5

= -1/6 + 1/5

= -5 + 6/ 30

= 1/30

And, R.H.S = a+ (b + c)

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

= 1/2 + (-10 + 3/ 15)

= 1/2 + (-7/15)

= 1/2 - 7/15

= 15 - 14/ 30

= 1/30

= L.H.S

therefore, L.H.S = R.H.S

Hence verified.

b)solution- Given, a= -3/5 , b= 7/10, c= 4/15

Now, L.H.S = (a+b)+c

= [(-3/5 + 7/10)] + 4/15

= (-6+7/10) + 4/15

= 1/10 + 4/15

= 3+8/30

= 11/30

R.H.S = a+(b+c)

= -3/5 + (7/10 + 4/15)

= -3/5 + (21+8/30)

= -3/5 + 29/30

= -18+29/30

= 11/30

= L.H.S

therefore, L.H.S = R.H.S

Hence verified.