Commutative law for addition
Addition satisfies various properties that make calculations easier. The most commonly known law is the commutative law that says, for example, that
3 + 4 = 4 + 3.
Note that subtraction is not commutative (3 − 4 ≠ 4 − 3).
We observe a geometric difference between 3 + 4 and 4 + 3 on the following number lines even though the arithmetic outcome is the same.
3 + 4 corresponds to
4 + 3 corresponds to