Absolutely, let's fill in the names of the ionic compounds in the table in a step-by-step manner.
Initially, the table given is:
```
\begin{tabular}{|l|l|}
\hline [tex]$CaSO _4$[/tex] & Calcium sulfate \\
\hline [tex]$\left.AlNO _3\right)_3$[/tex] & \\
\hline [tex]$Na _2 CO _3$[/tex] & \\
\hline [tex]$MgSO _3$[/tex] & \\
\hline [tex]$Cu ( OH )_2$[/tex] & \\
\hline [tex]$Mg _3\left( PO _4\right)_2$[/tex] & \\
\hline
\end{tabular}
```
Here are the names of the compounds:
1. For [tex]\(CaSO_4\)[/tex], the name is Calcium sulfate.
2. For [tex]\(Al(NO_3)_3\)[/tex], the name is Aluminum nitrate.
3. For [tex]\(Na_2CO_3\)[/tex], the name is Sodium carbonate.
4. For [tex]\(MgSO_3\)[/tex], the name is Magnesium sulfite.
5. For [tex]\(Cu(OH)_2\)[/tex], the name is Copper(II) hydroxide.
6. For [tex]\(Mg_3(PO_4)_2\)[/tex], the name is Magnesium phosphate.
Now, let's fill in these names into the given table:
[tex]\[
\begin{tabular}{|l|l|}
\hline
$CaSO_4$ & Calcium sulfate \\
\hline
$Al(NO_3)_3$ & Aluminum nitrate \\
\hline
$Na_2CO_3$ & Sodium carbonate \\
\hline
$MgSO_3$ & Magnesium sulfite \\
\hline
$Cu(OH)_2$ & Copper(II) hydroxide \\
\hline
$Mg_3(PO_4)_2$ & Magnesium phosphate \\
\hline
\end{tabular}
\][/tex]
Now, the table is fully completed with all the names of the ionic compounds.