**Exact Answer: 5000 meters or 3.12 miles**

When a person says 5k they essentially mean five kilos, a kilo is a decimal unit prefix in the metric system which denotes multiplying a numeral with one thousand or ten cubes. We loosely use the term “k” to denote “kilometers” Which is a composite of two words kilo and meters so 5k would mean 5 kilometers or five thousand meters.

However, in standard terms, 5k would mean nothing but 5000 without any further units like meters, grams, or even watt, which is a unit of power, typically used for electrical appliances. If one talks in standard terms and they want to convey at some point 5 kilometers they are not supposed to say 5k rather 5km or 5 kilometers only then would it mean correctly, what is to be conveyed.

**How Long Is 5k?**

To understand in the correct terms what 5k means or how long it is one should have an idea of what k represents so further the definition of k would be elaborated, k after a numeral is short of a kilo. Kilo is the decimal unit metric system prefix for multiplying a quantity by one thousand. It is used in the International System of Units, where it is denoted by a symbol of lowered case k.

The prefix kilo is derived from the Greek word (chilioi), meaning thousand. In nineteenth-century English it was ever so often spelled chilo, to be consistent with the puristic opinion. But later in Britain the metric system was introduced and got adopted almost across the world for consistency. Now that it is established that what essentially k technically means.

It is to be known that the actual definition of k is not used in colloquial terms but it intrinsically suggests when a person says 5k that k here does not mean “kilo” but “kilometers” which is an evident combination of two words kilo and meters that is a thousand meters likewise when someone says 5k in loose terms they actually mean 5 kilometers or 5000 meters. That is how long 5k is.

However in standard terms like when someone is dealing with say a mathematics or physics problem it should be kept in mind that writing 5k would mean nothing but 5000 with no units whatsoever, while dealing with such problems it is advisable to use 5km for 5 kilometers or 5kg for 5 kilograms (which is another metric unit of mass or weight in colloquial terms) and so on and so forth.**Summary:**

Use of K over different units | There measurements over time |

one kilogram | 1000 grams |

one kilometer | 1000 meters |

one kilojoule | 1000 joules |

one kilolitre | 1000 liters |

one kilobyte | 1000 bytes |

one kilosecond | 1000 seconds |

one kilobit | 1000 bits |

one kilohertz | 1000 hertz |

**Why Is 5k so long?**

5k or 5 kilometers is about 3.107miles which is a conversion of the unit in metric system (kilometers) to the unit in British imperial unit US customary unit of distance (miles). It would take a runner to complete a 5k run for about 13 and a half minutes. The k in 5k means kilo not kilometers in practicality.

The prefix “k” can be used in several places where one has to imply multiplying a number with 1000 following are some examples of the same. With regard to kilobytes, the latter definition is already widely used in several areas of computer science and information technology. It uses kilobytes, which means 210 bytes, mathematically 210 which is roughly 10 raised to the power of 3.

Applications are natively digital and hardware architectures that use numeral 2 empowerment rather than decimal. The JEDEC memory standards still admit this definition but recognize the correct use of SI.

The NIST comments on the confusion caused by these opposing definitions, faced with this fact, the IEEE Standards Board decided that the IEEE standards would use the generally accepted, internationally accepted definitions adopted for the SI prefix instead of kilograms for 1024. In this case, a conflict was introduced a new set of binary prefixes based on powers of two. Thus, 1000 bytes are defined as one kilobyte (1 KB).

**Conclusion**

When units are present in powers, such as in a square or cubic form, any exponential prefix is considered part of the unit and is therefore included in exponentiation.

1 km square means one square kilometer or an area of a square of 1000 m on each side or 10⁶ m square as opposed to 1000 square meters, that is, an area of a square with each side of 31.6 m.

1 km cube means a cubic kilometer or volume of a cube with dimensions of 1000 m on each side or 10⁹ m cube as opposed to 1000 cubic meters, which is the volume of a cube of each size of each side as 10 m.

**References**

- https://ieeexplore.ieee.org/abstract/document/1463185/
- https://www.sciencedirect.com/science/article/pii/S1361372300070238

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