Category:Decimal Expansions
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This category contains results about Decimal Expansions.
Definitions specific to this category can be found in Definitions/Decimal Expansions.
Let $x \in \R$ be a real number.
The decimal expansion of $x$ is the expansion of $x$ in base $10$.
$x = \floor x + \ds \sum_{j \mathop \ge 1} \frac {d_j} {10^j}$:
- $\sqbrk {s \cdotp d_1 d_2 d_3 \ldots}_{10}$
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.)
Subcategories
This category has the following 6 subcategories, out of 6 total.