Commutative, in layperson's terms, means you can switch the order of the two numbers you're going to operate on.
Associative means, when you have two of the same operations between three numbers, that you can do either of the pairs first.
Examples of commutative:
3 + 5 = 8
5 + 3 = 8
1 + 17 = 17 + 1
With associative you really have to understand the purpose of the brackets.
2 + 3 + 4
(2 + 3) + 4
= 5 + 4
= 9
2 + (3 + 4)
= 2 + 7
= 9
And I hope you agree that this will work for any three real numbers and not just 2, 3 and 4.
Hope that helps.
In the case of addition: Commutative property: a + b = b + a Associative property: (a + b) + c = a + (b + c) Note that (1) the commutative property involves two numbers; the associative property involves three; and (2) the commutative property changes the order of the operands; the associative property doesn't. Repeatedly applying the two properties allow you to rearrange an addition that involves several numbers in any order.
it depends wht kind (multiplication, addition)
commutative and associative. If the sentence has parentheses then it is associative.
Its commutative property of addition
No, this is the commutative property. For addition, the associative property is: x + (y + z) = (x + y ) + z
In the case of addition: Commutative property: a + b = b + a Associative property: (a + b) + c = a + (b + c) Note that (1) the commutative property involves two numbers; the associative property involves three; and (2) the commutative property changes the order of the operands; the associative property doesn't. Repeatedly applying the two properties allow you to rearrange an addition that involves several numbers in any order.
it depends wht kind (multiplication, addition)
commutative and associative. If the sentence has parentheses then it is associative.
Its commutative property of addition
No, this is the commutative property. For addition, the associative property is: x + (y + z) = (x + y ) + z
zero property, inverse, commutative, associative, and distributative
Commutative Law: a + b = b + a Associative Law: (a + b) + c = a + (b + c)
They are the associative property, distributive property and the commutative property.
Commutatitive property: a + b = b + a Associative property: (a + b) + c = a + (b + c) Although illustrated above for addition, it also applies to multiplication. But not subtraction or division!
The relevant properties are the commutative property, the associative property, and the property of zero (i.e., if you add zero to a number you get the same number again).
The associative and commutative are properties of operations defined on mathematical structures. Both properties are concerned with the order - of operators or operands. According to the ASSOCIATIVE property, the order in which the operation is carried out does not matter. Symbolically, (a + b) + c = a + (b + c) and so, without ambiguity, either can be written as a + b + c. According to the COMMUTATIVE property the order in which the addition is carried out does not matter. In symbolic terms, a + b = b + a For real numbers, both addition and multiplication are associative and commutative while subtraction and division are not. There are many mathematical structures in which a binary operation is not commutative - for example matrix multiplication.
Commutative: a × b = b × a Associative: (a × b) × c = a × (b × c) Distributive: a × (b + c) = a × b + a × c