Question

Verify the associative property for additionand multiplication of the rational numbers -10/11,5/6,-4/3

Answer 1

Answer:

the associative property of addition..

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

-10/11+(5/6+(-4/3)) = (-10/11 +5/6) + (-4/3)

-10/11+ (5/6-4/3) = (-60+55/66) + (-4/3)

-10/11+(5-8/6) = (-5/66) +(-4/3)

-10/11+(-3/6) = (-5/66) -4/3

-60-33/66= -5-88/66

-93/66= -93/66

-31/22= +31/22

hence, L. H. S = R. H. S

the associative property of multiplication...

(a×b)×c = a×(b×c)

(-10/11×5/6)×(-4/3)= -10/11×(5/6×(-4/3)

-50/66×(-4/3)= -10/11×(-20/18)

200/198= 200/ 198

100/99= 100/99

hence, L. H. S = R. H. S