Addition is the same no matter what order it is in.
If x is 2, then 2+3=5 and 3+2=5 are the same. They are all in the same fact family.
Multiplication is the same no matter what order it is in as well.
x times 3 is the same as 3 times x
If x is 2, then 2*3=6 and 3*2=6 Fact families!
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The Abelian property or commutative property.
The property you described, where x + y = y + x, is called commutativity. In the case of addition, it is called the commutative property of addition.
symmetric property of equality
Identity
The zero property because it has a zero.