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They are alike in so far as they are properties of binary operations on elements of sets. T
The associative property states that order in which operations are evaluated does not affect the result, while the commutative property states that the order of the operands does not make a difference.
Basic binary operators are addition, subtraction, multiplication, division, exponentiation, taking logarithms.
Basic operands are numbers, vectors, matrices.
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How are the associative and commutative properties alike and different?
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.
How are unit fractions alike and different?
The answer depends on what they are meant to be alike and different from!
How are the label in each period alike How are they different?
they are alike because they are different columns of digits and they are different because they have different. ddf
How is the cube and cylinder alike different?
they are both 3D but different shapes
How are division and subtraction alike?
Neither is commutative. a/b is not necessarily b/a. The same goes for a-b and b-a a/b = b/a if and only if b=a and similarly, a-b = b-a if and only if b=a. ■
