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Commutative: a + b = b + a a × b = b × a

Associative: (a + b) + c = a + (b + c) (a × b) × c = a × (b × c)

Commutative states that the sum or product remains the same no matter the order of the factors.

Associative states that the sum or product remains the same no matter the grouping of the factors.

Q: What is the difference between the commutative property and the associative property?

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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.

Commutative means that the order can be changed without affecting the answer. For example, multiplication is commutative but division is not. 2 x 4 = 8 and 4 x 2 = 8 (commutative) 2 / 4 = 1/2 but 4 / 2 = 2 (not commutative) Associative means that the order that two operations is completed can be changed without affecting the answer. (2 x 4) x 3 = 2 x (4 x 3) - (associative)

The associative property refers to grouping numbers, which allows you to regroup numbers without changing the answer. 2(1x) = (2x1)xThe commutative property refers to changing the order of numbers without changing the answer. 4+1 = 1+4The distributive property refers to distribution of multiplication over addition. a x (b + c) = a x b + a x c

Commutative Property: The order of the objects from left to right doesn't matter.For example : 5+3+2 = 3+2+5 = 2+3+5, etc... Because addition is commutative.Associative Property: Where we put parentheses doesn't matter.For example: x(yz) = (xy)z if x, y, and z are numbers.

All i know is how to remember associative property. In associative property you can have the parentheses in between any numbers and it will be the same answer.

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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.

Commutative means that the order can be changed without affecting the answer. For example, multiplication is commutative but division is not. 2 x 4 = 8 and 4 x 2 = 8 (commutative) 2 / 4 = 1/2 but 4 / 2 = 2 (not commutative) Associative means that the order that two operations is completed can be changed without affecting the answer. (2 x 4) x 3 = 2 x (4 x 3) - (associative)

associative_is_grouping_same_order_and_commutative_is_the_order_switched_">associative is grouping same order and commutative is the order switched* * * * *Sadly, all that is rubbish.Commutativity: The order of operands can be changed without affecting the result.Associativity: The order of operations can be changed without affecting the result.Thus, the commutative property states thatx + y = y + x.The associative property states that(a + b) + c = a + (b + c) and so you can write either as a + b + c without ambiguity.Although these may seem pretty basic or obvious, they are not true for operations as basic as subtraction or division of ordinary numbers.while the associative property

The associative property refers to grouping numbers, which allows you to regroup numbers without changing the answer. 2(1x) = (2x1)xThe commutative property refers to changing the order of numbers without changing the answer. 4+1 = 1+4The distributive property refers to distribution of multiplication over addition. a x (b + c) = a x b + a x c

These are properties of algebraic structures with binary operations such as addition and/or subtraction defined on the set.The identity property, refers to a unique element of the set with special properties with respect to an operation.The commutative property states that the order of the operands does not matter. There are many algebraic structures where this property does not hold. The set of numbers with the operation subtraction or division do not have this property.The associative property states that the order in which a repeated operation is carried out does not matter.The distributive property is applicable when there are two binary operations defined on the set.

Commutative Property: The order of the objects from left to right doesn't matter.For example : 5+3+2 = 3+2+5 = 2+3+5, etc... Because addition is commutative.Associative Property: Where we put parentheses doesn't matter.For example: x(yz) = (xy)z if x, y, and z are numbers.

what is the difference between commutative and symmetric properties

All i know is how to remember associative property. In associative property you can have the parentheses in between any numbers and it will be the same answer.

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 communitive prop., the problem does not change at all except for the order. In accociative prop. the grouping also changes. for example communitive prop. associative prop i forgot LOL x+1=154665 1+x=154665

If there is an equals sign between the 3 and 5 of 35, then it is the associative property of multiplication.

Numeric array has numbers(+integers) that represent the values Associative array has strings that represent the values