This document discusses three properties of addition: 1) The commutative property states that changing the order of numbers being added does not change the sum. 2) The associative property means that regrouping addends does not change the sum. 3) The identity property says that adding zero to a number results in the original number.

1. Properties of
Addition

2. PROPERTIES OF ADDITION
 1. Commutative property of Addition
 - means that even if you change the
order of the addends, the sum of the
numbers being added remains the same.
 X + Y = Y + X
 Example: 5 + 4 = 4 + 5

3.  2. Associative property of Addition
 - means that even if you group and
regroup the addend, the sum will not
change.
 (X + Y) + Z = X + (Y + Z)
 Example: (9+7) + 5 = 9 + (7+5)

4.  3. Identity property of Addition
 - means that when zero is added to a
number, the sum is always equal to the
number itself.
 0 + X = X Y + 0 = Y
 Example: 0 + 10 = 10