5

Is a numerical equality (like $1+2 = 3$) an algebraic equation?

In google search we have: "equation ɪˈkweɪʒ(ə)n/ noun noun: equation; plural noun: equations

1.
Mathematics
a statement that the values of two mathematical expressions are equal (indicated by the sign =)."

In Wikipedia we have: "In mathematics, an equation is a statement of an equality containing one or more variables."

In Merriam-webster we have: " Definition of equation for English Language Learners

mathematics : a statement that two expressions are equal (such as $8 + 3 = 11$ or $2x – 3 = 7$)

"

james15c
  • 473
  • 3
  • 20
rese
  • 1,174
  • 7
  • 18
  • 1
    It may be a matter of philosophy, but I would say that $1+2=3$ is an equation. I might even go so far as to say that it is an algebraic equation---typically, algebraic equations are those that involve polynomials, and that is an equation involving three constant polynomials. – Xander Henderson Aug 03 '17 at 19:04
  • "algebraic equation" is an equality with variables. The equality with constant numbers is an identity. An algebraic equation may also be an identity, e.g. $\sin^2x+\cos^2x=1$. – farruhota Aug 04 '17 at 08:54

0 Answers0