Term for different ways of expressing the same value?

Mar 2018
1
0
California
Is there a term for the fact that a number can be expressed in many ways, e.g., 3 can be written as (3/1)^1 and mean the same thing? Or the fact that the value of a number such as 3 can be expressed in infinite ways and still retain the same value? For instance, the value of 3 can be expressed as (2^2 - 1) or (3x3 +3)/4?

Is there a formal term for these sorts of things? A morphism of some kind? Is there a formal way to express the infinite ways a single value can be expressed?
 

romsek

Math Team
Sep 2015
2,689
1,489
USA
I guess they could be called "equivalent expressions".
 

Denis

Math Team
Oct 2011
14,592
1,026
Ottawa Ontario, Canada
3-0=3, 4-1=3, 5-2=3, 6-3=3, .........., n-(n-3)=3

Seems kinda useless stuff...why are you asking?