*If* 5x + 10 is *the same as* 10x +5, you can apply commutation and association.
If they are *not* the same, you cannot apply commutation and association.
To be clear, commutation and association are mathematical rules that allow you to simplify equations/ formulae/ expressions.
But the simplification *must* give the same result as the original.
Example 3 + 7 + 4 + 5 + 1. Association lets you say this is the same as:
(3+7) + (4+5+1), which works out to (10) + (10), = 20.
Which property is illustrated in this problem? (associative, distributive, identity, or commutative) 7d + 3 = 3 + 7d
It is the associative property of addition.
The Commutative property.
If you do not assume that "plus" is commutative, all that can be said that it is equal to A plus B.
associative property
Associative
Its commutative property of addition
3+8 = 8+3 is NOT an associative property but a commutative property. Associative property shows change of grouping while commutative property shows change of order.
Which property is illustrated in this problem? (associative, distributive, identity, or commutative) 7d + 3 = 3 + 7d
No, this is the commutative property. For addition, the associative property is: x + (y + z) = (x + y ) + z
It is the commutative property as well as the associative property. Without the second, the equality need not hold.
15 -7 = 8
True. Addition of natural numbers obeys associative and commutative property.
No, it is the commutative (or Abelian) property. The associative property says that (6 + 7) + 8 = 6 + (7 + 8) and so either can be written as 6 + 7 + 8
Addition is commutative
It is called the commutative property, a + b = b + a
It is the associative property of addition.