Category:Examples of Decimal Expansions

From ProofWiki
Jump to navigation Jump to search

This category contains examples of Decimal Expansion.

Let $x \in \R$ be a real number.

The decimal expansion of $x$ is the expansion of $x$ in base $10$.


$x = \floor x + \displaystyle \sum_{j \mathop \ge 1} \frac {d_j} {10^j}$:

$\sqbrk {s \cdotp d_1 d_2 d_3 \ldots}_{10}$

where:

$s = \floor x$, the floor of $x$
it is not the case that there exists $m \in \N$ such that $d_M = 9$ for all $M \ge m$.

(That is, the sequence of digits does not end with an infinite sequence of $9$s.)

Pages in category "Examples of Decimal Expansions"

The following 4 pages are in this category, out of 4 total.