Definition:Real Number/Equality
Jump to navigation
Jump to search
Definition
Two real numbers are defined as being equal if and only if they correspond to the same point on the real number line.
Examples
One Half
The numbers $\dfrac 1 2$ and $\dfrac 2 4$ are equal, as they both correspond with the point which is the midpoint of the line segment from $0$ to $1$ on the real number line.
Sources
- 1971: Wilfred Kaplan and Donald J. Lewis: Calculus and Linear Algebra ... (previous) ... (next): Introduction: Review of Algebra, Geometry, and Trigonometry: $\text{0-1}$: The Real Numbers