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The common operations of arithmetic for which it holds are addition and multiplication.

Q: What operations will the associative property hold true?

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False.

Closure with respect to addition and multiplication. Cummutative, Associative properties of addition and of multiplication. Distributive property of multiplication over addition.

Consider the main operations to be addition and multiplication. In that case, subtraction is defined in terms of addition, for example, a - b = a + (-b) (where the last "-b" refers to the additive inverse of b), while a / b = a times 1/b (where 1/b is the multiplicative inverse of b). Now, assuming that commutative, etc. properties hold for addition and multiplication, check what happens with a subtraction. That should clarify everything. For example: a - b = a + (-b) whereas: b - a = b + (-a) which happens NOT to be the same as a - b, but rather its additive inverse.

According the associative property of multiplication, given any three elements a, b and c belonging to a set, (ab)c = a(bc) and so without ambiguity either can be written as abc. By contrast, (a/b)/c is not equal to a/(b/c). The first is a/bc, the second is ac/b which is true only if c2 = 1 ie c = -1 or c = 1

The associative property of addition states that the grouping of numbers being added does not affect the sum. In other words, when adding three or more numbers together, the order in which the numbers are grouped will not change the final result. For example, (2 + 3) + 4 is equal to 2 + (3 + 4), both of which equal 9.

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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

False.

true

True. Addition of natural numbers obeys associative and commutative property.

No.

True

(75/25) / 5 = 3/5 = 0.6 75 / (25/5) = 75/5 = 15

True. Classic associative vs. partial associative logic. Yea, what she said. true

Closure with respect to addition and multiplication. Cummutative, Associative properties of addition and of multiplication. Distributive property of multiplication over addition.

The associative property states, no matter how you order three or more integers being added, they will always equal the same solution. For example, A + (B + C) = (A +B) + C * * * * * The equation is correct but the description is not. When you say "no matter how you order three or more integers" you are implying that A + B + C = A + C + B and that need not be true. Associativity refers to the order in which the summation is carried out. That does not matter.

No, Associative proporties are not true for all integers. The deffinition for integer (n) 1. one of the positive or negative numbers 1, 2, 3, act., or zero. Compare whole number.

The property that "equality" is a reflexive relation on the set of arithmetic statements. It is a property of a relation such that it is true for members of the set over which the relation is defined.The "less than" operator, for example, is not reflexive since "x < x" is not true.