[tex] \\
\text{We need to find the rational numbers between }-\frac{1}{2} \text{ and }0,\\
\text{whose denominator is 10.}\\
\\
\text{We know that a rational number can be written in the form of }\frac{p}{q},\\
\text{where p and q are some intergers and }q\neq 0\\
\\
\text{observe that the number }-\frac{1}{2} \text{ can be written as }-\frac{5}{10}\\
\text{and 0 can be written as }\frac{0}{10}\\
\\
\text{so we will find the integers between }-5 \text{ and 0}. [/tex]
[tex] \text{The integers between }-5\text{ and 0 are: }-4,-3, -2 \text{ and }-1\\
\\
\text{so the rational numbers with denominator 10 are:}\\
\\
-\frac{4}{10}, \ -\frac{3}{10}, \ -\frac{2}{10}, \ -\frac{1}{10} [/tex]
