CuCO\(_3\), is primarily used as a pigment in paints, ceramics, and fireworks due to its distinctive green colour, and is also utilized in agriculture as a fungicide and pesticide, as well as in some industrial applications like wood preservation and catalyst production; essentially, its main uses are as a colourant and in various chemical reactions as a precursor to other copper compounds.

Cu({NO\(_3\)})2, also known as copper(II) nitrate, is primarily used as a source of copper ions in various applications, including: catalysis in organic chemistry, electroplating, textile dyeing, ceramic glazes, pyrotechnics, analytical chemistry, and as a component in some metal patinas;

CuSO\(_4\), also known as copper sulphate, is primarily used as a fungicide and algaecide in agriculture, controlling unwanted fungi and algae on crops, as well as in water systems like ponds and aquariums; it can also be used as a pesticide to kill snails and slugs, and in some cases as a soil additive to correct copper deficiencies in the soil. 

CuCl\(_2\), also known as Copper(II) chloride, is primarily used as a catalyst in chemical reactions, including applications in the textile industry as a mordant, in the petroleum industry as a deodorizer and purifying agent, as a wood preservative, and in photography as a fixer;