Question

verify the associative property for addition and multiplication for the rational numbers-7 by9,5by6,-4by3

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Answer 1

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 for multiplication of the rational numbers is as follows

( a × b ) × c = a × ( b × c )

let a = -10/11    , b = 5/6   and c = 4/3

So, First Associative property of addition:

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

       

       

             

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

       

       

       

LHS = RHS

Hence Verified

Second, Associative property of multiplication:

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

       

       

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

       

       

LHS = RHS

Hence Verified