Question

Rational numbers with a denominator of 10 that lie between -1/2 and 0, inclusive

Answer 1

`\\ \text{We need to find the rational numbers between }-(1)/(2) \text{ and }0,\\ \text{whose denominator is 10.}\\ \\ \text{We know that a rational number can be written in the form of }(p)/(q),\\ \text{where p and q are some intergers and }q\\eq 0\\ \\ \text{observe that the number }-(1)/(2) \text{ can be written as }-(5)/(10)\\ \text{and 0 can be written as }(0)/(10)\\ \\ \text{so we will find the integers between }-5 \text{ and 0}.`

`\text{The integers between }-5\text{ and 0 are: }-4,-3, -2 \text{ and }-1\\ \\ \text{so the rational numbers with denominator 10 are:}\\ \\ -(4)/(10), \ -(3)/(10), \ -(2)/(10), \ -(1)/(10)`