The IUPAC name of \[C{{H}_{3}}-O-CH(C{{H}_{3}})-C{{H}_{3}}\]is:

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Hint: IUPAC nomenclature is a method to name organic compounds. It is recommended by the International Union of Pure and Applied Chemistry.

Complete answer:
Steps to find a nomenclature of the compound \[C{{H}_{3}}-O-CH(C{{H}_{3}})-C{{H}_{3}}\],
> First check for any functional group. In this molecule ether group is present. If the ether group is present we need to add alkoxy to the name. While naming an ether compound, the more complex is the root name and the oxygen and smaller group is taken as the alkoxy substituent.
> On either side of the O we have a methyl group and a propyl group.Here, the complex group is propane and the smaller group is methyl, so it is written in its alkoxy form, that is methoxy. So according to IUPAC nomenclature, the name of the given compound is 2-methoxypropane. Chemical formula for the compound is\[{{C}_{4}}{{H}_{10}}O\].
It has a structure:

Additional Information: IUPAC is an international federation of National Adhering Organisation which represents chemists in each country. It determines the way organic compounds are named. There are a vast number of organic compounds and all compounds cannot be given common names. Homologous series have almost the same names, but they have different in their carbon chains and accordingly its name changes.
> IUPAC is best known for its work standardizing nomenclature in chemistry and also in other fields of science. It was established in 1919.
> IUPAC nomenclature has three basic parts: the substituent, carbon chain lengths and the chemical ending. Functional groups belong to the substituent which is attached to the main chain.

Note: IUPAC name does not have ether in them. It is an old or colloquial way of naming organic compounds.
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