verify the associative law of addition for the following 1) 1 , 5/-11, 7/22


correct answer will get 100 thanks

verify the associative law of addition for the following 1) 1 , 5/-11, 7/22

correct answer will get 100 thanks ​

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2 thoughts on “verify the associative law of addition for the following 1) 1 , 5/-11, 7/22<br /><br /><br />correct answer will get 100 thanks”

  1. Step-by-step explanation:

    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

    =(\frac{-60+55}{66})+\frac{4}{3}=(

    66

    −60+55

    )+

    3

    4

    =\frac{-5}{66}+\frac{4}{3}=

    66

    −5

    +

    3

    4

    =\frac{-5+88}{66}=\frac{83}{66}=

    66

    −5+88

    =

    66

    83

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

    =\frac{-10}{11}+(\frac{5+8}{6})=

    11

    −10

    +(

    6

    5+8

    )

    =\frac{-10}{11}+\frac{13}{6}=

    11

    −10

    +

    6

    13

    =\frac{-60+143}{66}=\frac{83}{66}=

    66

    −60+143

    =

    66

    83

    LHS = RHS

    Hence Verified

    Reply

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