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Q: Is subtraction and addition commutative and associative?

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Subtraction is neither commutative nor associative.

No.

Of the five common operations addition, subtraction, multiplication, division, and power, both addition and multiplication are commutative, as well as associative. The other operations are neither.

No, changing order of vectors in subtraction give different resultant so commutative and associative laws do not apply to vector subtraction.

Subtraction is not commutative nor associative.

Commutative Law: a + b = b + a Associative Law: (a + b) + c = a + (b + c)

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!

No, only multiplication and addition are.

the three basic properties in addition are associative, indentity,and commutative.

Yes

Subtraction is commutative... in a way. You can convert any subtraction to an addition. 7 - 2 is NOT the same as 2 - 7. However, when turning the terms around, you may keep the sign, so that 7 - 2 is the same as -2 + 7. This is justified by the commutative law of addition. Similarly with division: 10 / 2 is not the same as 2 / 10, but you can convert 10 / 2 into (1/2) x 10.

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.

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