Question

3. Verify the associative property of rational number, i.e.,x+(y+z)=(x+y)+z,when
x=-5/7,y=1/2,,z=-2/3
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Answer 1

this is an example for you hope it helps

Answer 2

Answer:

Given numbers are -10/11 , 5/6 and 4/3

To Verify the associative property for addition and multiplication of the rational numbers.

Associative Property for addition of the rational numbers is as follows

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

Associative property of addition:

LHS = ( a + b ) + c = ( -10/11 + 5/6 ) + 4/3

$=( 66−60+55 )+ 34</p><p> =\frac{-5}{66}+\frac{4}{3}= 66−5+ 34</p><p> =\frac{-5+88}{66}=\frac{83−5+88</p><p>= 6683$

RHS = a + ( b + c ) = -10/11 + ( 5/6 + 4/3 )

$=\frac{-10}{11}+(\frac{5+8}{6})= 11−10( 65+8)</p><p> =\frac{-10}{11}+\frac{13}{6}= 11−10+ 613</p><p> =\frac{-60+143}{66}=\frac{83}{66=66−60+143</p><p> = 6683$

LHS = RHS

LHS = RHSHence Verified