**999** is a British docudrama television series presented by Michael
Buerk, that premiered on June 25th 1992 on BBC One and ran until
September 17th 2003. The series got its name from the emergency
telephone number used in the United Kingdom.

In the first series, each episode included two reconstructions of real
emergencies, using actors and occasionally Buerk himself, as well as
some of the real people involved in the emergency. By the second series,
episodes of *999* included more reconstructions. While recreating an
accident for an episode in 1993, veteran stuntman Tip Tipping was killed
in a parachuting accident. In 2002, it was announced that the series had
been cancelled.

Type: Documentary

Languages: English

Status: Ended

Runtime: 50 minutes

Premier: 1992-06-25

## 999 - 0.999... - Netflix

In mathematics, 0.999... (also written 0.9, among other ways), denotes the repeating decimal consisting of infinitely many 9s after the decimal point (and one 0 before it). This repeating decimal represents the smallest number no less than all decimal numbers 0.9, 0.99, 0.999, etc. This number can be shown to equal 1. In other words, “0.999...” and “1” represent the same number. There are many ways of showing this equality, from intuitive arguments to mathematically rigorous proofs. The technique used depends on target audience, background assumptions, historical context, and preferred development of the real numbers, the system within which 0.999... is commonly defined. (In other systems, 0.999... can have the same meaning, a different definition, or be undefined.) More generally, every nonzero terminating decimal has two equal representations (for example, 8.32 and 8.31999...), a property true of all base representations. The utilitarian preference for the terminating decimal representation contributes to the misconception that it is the only representation. For this and other reasons—such as rigorous proofs relying on non-elementary techniques, properties, or disciplines—mathematics students can find the equality sufficiently counterintuitive that they question or reject it. This has been the subject of several studies in mathematics education.

## 999 - Nested intervals and least upper bounds - Netflix

x = b 0 . b 1 b 2 b 3 … {\displaystyle x=b_{0}.b_{1}b_{2}b_{3}\ldots }

The series definition above is a simple way to define the real number named by a decimal expansion. A complementary approach is tailored to the opposite process: for a given real number, define the decimal expansion(s) to name it. If a real number x is known to lie in the closed interval [0, 10] (i.e., it is greater than or equal to 0 and less than or equal to 10), one can imagine dividing that interval into ten pieces that overlap only at their endpoints: [0, 1], [1, 2], [2, 3], and so on up to [9, 10]. The number x must belong to one of these; if it belongs to [2, 3] then one records the digit “2” and subdivides that interval into [2, 2.1], [2.1, 2.2], ..., [2.8, 2.9], [2.9, 3]. Continuing this process yields an infinite sequence of nested intervals, labeled by an infinite sequence of digits b0, b1, b2, b3, ..., and one writes

## 999 - References - Netflix

- http://elib.mi.sanu.ac.rs/files/journals/tm/24/tm1312.pdf
- http://doi.org/10.2307%2F2309468
- https://www.netflixtvshows.com
- http://doi.org/10.1007%2Fs10649-005-0473-0
- http://doi.org/10.2307%2F2324393
- https://web.archive.org/web/20060815010844/http://www.straightdope.com/columns/030711.html
- http://www.jstor.org/stable/2316619
- http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.31.3019