Question

Verify associate property of integers under addition and subtraction of 5,-6,3

Answer 1

Answer:

We know that :-

$\red\dashrightarrow\underline{\underline{\sf \green{ Associative \: Property: ( a+b)+c=a+(b+c)}} }$

Given:-

$\red\dashrightarrow{\underline{\sf \blue{ a = 5, \: b = - 6, \: c = 3}} }$

By condition:-

$\red\dashrightarrow\underline{\underline{\sf \blue{ L.H.S.}} }$

$\red\dashrightarrow\underline{\underline{\sf \blue{(5 + ( - 6)) + 3 }} }$

$\red\dashrightarrow\underline{\underline{\sf \blue{ - 1 + 3 }} }$

$\red\dashrightarrow\underline{\underline{\sf \blue{ 2}} }$

$\red\dashrightarrow\underline{\underline{\sf \blue{R.H.S. }} }$

$\red\dashrightarrow\underline{\underline{\sf \blue{5 + ( - 6 + 3) }} }$

$\red\dashrightarrow\underline{\underline{\sf \blue{ 5 + ( - 3) }} }$

$\red\dashrightarrow\underline{\underline{\sf \blue{ + 2 }} }$

$\red\dashrightarrow\underline{\underline{\sf \blue{ L.H.S. = R.H.S.}} }$

Verified✅