This also means we stay inside the set. Multiplying any real number pair together will result in a unique real number. Order does not matter. You can add a column of numbers from the top or from the bottom. The root word commute is commonly used to describe exchanging places, like going forth and back between home and work.
Multiplication distributes over addition.
The additive identity is a unique element, which can be added to any element without altering it. In addition to the field axioms, real numbers satisfy additional important axioms or properties. Operations which are reflexive look the same in a mirror. This axiom establishes that a variable stands for the same number wherever it appears in an expression. The prefix trans- means across like rapid transit quickly takes you across a city.