Question

verify associative property of addition where a= -3/4, b=5/6, c= -4/9​

Answer 1

Answer:

Step-by-step explanation:

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

a= -3/4,

b=5/6,

c= -4/9

(-3/4+5/6) +-4/9 =-3/4+(5/6+-4/9)

LHS:​(a+b) +c= (-3/4+5/6) +-4/9

First we will solve the bracket : (-3/4+5/6)

-3 × 3/4 × 3+ 5 × 2/6 × 2

-9/12+10/12

-9 + 10/12

1/12

now the equation will be: 1/12 + -4/9

=1/12 - 4/9

=1 x 3/12 x 3 - 4 x 4/9 x 4

=3 – 16/36

= -13/36

So we see that LHS= -13/36

RHS: a+(b+c) = -3/4+(5/6+-4/9)

First we will solve the bracket : (5/6+-4/9)

= (5/6 - 4/9)

=5 × 3/6 × 3 - 4 × 2/9 × 2

=15-6/18

=7/18

now the equation will be: -3/4 +7/18

=-3 × 9/4 × 9 +7 × 2/18 × 2

= -27 + 14/36

=-13/36

HENCE VERIFIED LHS = RHS