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An associate is a "friend of" or a "guy" of a current made-man member of the mob.
Usually an associate conducts business with the mob(or just one made-man), but some of them are low-form enforcers who do some "dirty job" in order to raise in the ranks and become an official member of the family(AKA soldier). Although an associate doesn't necessarily have to be Italian, only those who are can be officially become members of the family.
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What addition property do you use to change the order of an expression?
Commutativity and associativity.
Does the commutative property states that the order of the terms in an addition or multiplication problem can be changed without affecting the result?
Commutativity only applies to multiplication. Associativity applies to addition.
What are the 4 different types of properties of addition?
They are closure, associativity, identity and invertibility. A set with addition defined on its elements which meets the above 4 properties becomes a Group.
Which property of addition states the order of adding three numbers does not affect the sum?
There are two concepts here that are often confused. If you mean that the order of the operation of addition can be carried out in any order then it is the property of associativity. If you mean that the numbers can be written in any order then the property is commutativity.
Justify that if x plus y equals x plus z then y equals z?
The requirements are that the operation of addition is associative, the existence of an additive identity and additive inverses. Associativity: a + (b + c) = (a + b) + c = a + b + c Identity: The set contains a unique element, called the additive identity and often denoted by 0 with the property that a + 0 = 0 + a = a for all a in the set. Inverse: For each element in the set, x, there exists an element which is its additive inverse. For addition, this is denoted by -x, and has the property that -x + x = 0. x + y = x + z Add the inverse of x to both sides: -x + (x + y) = -x + (x + z) By associativity: (-x + x) + y = (-x + x) + z -x is additive inverse of x, so: 0 + y = 0 + z 0 is additive identity, so y = z
