Question
Why is it necessary to use the symbol for the elements?

Answer

Yes it is necessary to write symbols for element because it makes equations easy to write as well as to read and understand. they also saves time and complexity.
e.g 
Consider the following chemical reaction
Zinc + Sulphuric acid → Zinc sulphate + Hydrogen gas 
This can be written easily using symbols as
$\text{Zn}+\text{H}_2\text{SO}_4\rightarrow\text{ZnSO}_4+\text{H}_2$

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