Question

For what values of a and b does the expression,

[12+(−5)]+a=b+[(−5)+(−8)] show the associative property of integers

under addition?
please answer fast...
l will mark the fastest and best answer as Brainliest
I need with steps.....

Answer 1

Step-by-step explanation:

By this we can also compare with associative property under addition

Answer 2

$Let \: x , y, z \: are \: integers$

$\blue { (x+y) +z = x + (y+z) }$

$\pink { (Associative \: Property \: under \: addition )}}$

$Here , Given \:[\pink { 12 }+ (-5) ] \blue { +a} = \pink{b} + [ (-5) \blue {+ (-8)} ]$

/* Compare bothsides, we get */

$\blue { a } = -8 , \: \pink { b} = 12$

Therefore.,

$[\pink { 12 }+ (-5) ] +\blue { (-8)} = \pink{12} + [ (-5) \blue {+ (-8)} ]$

Explanation:

$LHS =[ 12 + (-5)]+(-8)\\= (12-5) - 8 \\= 7 - 8 \\= -1 \:--(1)$

$RHS = 12+ [ (-5) +(-8) ] \\= 12 + ( -5 - 8 ) \\= 12 - 13 \\= -1 \: ---(2)$

$LHS = RHS$

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