It helps to consider subtraction as the addition of the additive inverse, in this case, a - b = a + (-b), where (-b) is the additive inverse of b. In this case:
(a - b) - c = (a + (-b)) + (-c) = a + (-b) + (-c)
a - (b - c) = a + -(b + (-c)) = a + -(b + (-c)) = a + -b + c
As you can see, the "c" part is inverted. Here is an example with numbers:
(10 - 5) - 1 = 4
10 - (5 - 1) = 10 - 4 = 6
In the last subtraction, the result is that the 1 is added instead of subtracted.
The associative law holds for all numbers. There are operations that it may not hold for, but that is an entirely different matter.
The common operations of arithmetic for which it holds are addition and multiplication.
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.
yes.
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.
it doesnt
associative, distributive * * * * * That, I am afraid, is utter rubbish. A - (B - C) = A - B + C whereas (A - B) - C = A - B - C These two are NOT equal so the associative property does not hold. Subtraction does not have the distributine property, it is multiplication that has that property with regard to subtraction: A*(B - C) = A*B - A*C
it doesnt hold anything you moron its a hybid full electric
It may be on hold, If not, reset it
cheese, sticky and hold
it mean if my boyfriend doesnt hold the hand actually it means only bestfriends
well Canada is much larger but will hold a lot of people but doesnt and Japan is the complete oppisite