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Verify associative property of addition of Rational numbers for = −11 10, =215 =−12 |
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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 |
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