maths explain associative distributive commutive closure property multiply with suitables example
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In case of integers
Closure property : If we add , subtract , multiply or divide any integers ,the result is also a integer.
Commutative property : a + b = b + a
a × b = b × a
This propety holds only for additon and multiplication.
Associative property :a+(b+c)=(a+b)+c
This propety holds only for multiplication and addition.
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- Commutative laws say we can swap numbers, and you still get the same number when you add, for example, a+b = b+a and same for multiplication.
- Associative laws say it does not matter how we group the number final value will remain the same, for example, (a+b)+c = (a+b)+c , and same for multiplication
- Distributive laws say that we can have the same answer while multiplying a number by a group of numbers added together or multiplying them separately and then add them, For example, a x ( b+c) = axb + axc
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