36 gloves represent 100%.
To find how many gloves represent 10%, we can use the next proportion:
[tex]\frac{36\text{ gloves}}{x\text{ gloves}}=\frac{100\text{ \%}}{10\text{ \%}}[/tex]Solving for x:
[tex]\begin{gathered} 36\cdot10=100\cdot x \\ \frac{360}{100}=x \\ 3.6=x \end{gathered}[/tex]This result indicates that 3 gloves are less than 10%, so she should have ordered 4 gloves.
The percent error is computed as follows:
[tex]\text{ percent error = |}\frac{\text{ approx}imate\text{ value - exact value}}{\text{ exact value}}|\cdot100[/tex]Substituting with data:
[tex]\begin{gathered} \text{ percent error = |}\frac{3-7}{7}|\cdot100 \\ \text{ percent error = |}\frac{-4}{7}|\cdot100 \\ \text{ percent error = }\frac{4}{7}\cdot100 \\ \text{ percent error }\approx\text{ }57\text{ \%} \end{gathered}[/tex]