give me guys associative property
integers and rational no
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A set has the associative property under a particular operation if the result of the operation is the same no matter how we group any sets of 3 or more elements joined by the operation. This definition will make more sense as we look at some examples.
More formally, if x, y and z are variables that represent any 3 arbitrary elementsin the set we are looking at (let’s call the set we are looking at A), and the symbol # represents our operation, then the associative property for A with the operation # would be:
(x#y)#z = x#(y#z).
This means that the associative propertyonly holds for the set A and the operation # if, no matter what elements we take from A and put in place of x, y and z, (x#y)#z will always give us the same result as x#(y#z).
More formally, if x, y and z are variables that represent any 3 arbitrary elementsin the set we are looking at (let’s call the set we are looking at A), and the symbol # represents our operation, then the associative property for A with the operation # would be:
(x#y)#z = x#(y#z).
This means that the associative propertyonly holds for the set A and the operation # if, no matter what elements we take from A and put in place of x, y and z, (x#y)#z will always give us the same result as x#(y#z).
janvi211:
give me example
For addition, the rule is "a+ (b + c) = (a + b) +c"; in numbers, this means 2 + (3 + 4) = (2 + 3) + 4. For multiplication, the rule is "a(bc) = (ab)c"; in numbers, this means 2(3×4) = (2×3)4.
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