Answer :

Certainly! Let's find five rational numbers between -1 and 0. A rational number is a number that can be expressed as the quotient or fraction [tex]\(\frac{p}{q}\)[/tex] of two integers, where [tex]\(p\)[/tex] and [tex]\(q\)[/tex] are integers and [tex]\(q \neq 0\)[/tex].

Here are the steps to list five rational numbers between -1 and 0:

1. Identify the range: We need numbers between -1 and 0. This means the numbers have to be negative but greater than -1 and less than 0.

2. Choose rational numbers: Rational numbers are numbers that can be expressed as [tex]\(\frac{a}{b}\)[/tex], where [tex]\(a\)[/tex] and [tex]\(b\)[/tex] are integers, and [tex]\(b\)[/tex] is not zero.

3. Select five numbers: We can select any five rational numbers within the given range. Below are the numbers:

- -0.5: This can be expressed as [tex]\(-\frac{1}{2}\)[/tex], which is a rational number.
- -0.8: This can be expressed as [tex]\(-\frac{4}{5}\)[/tex], which is a rational number.
- -0.25: This can be expressed as [tex]\(-\frac{1}{4}\)[/tex], which is a rational number.
- -0.75: This can be expressed as [tex]\(-\frac{3}{4}\)[/tex], which is a rational number.
- -0.1: This can be expressed as [tex]\(-\frac{1}{10}\)[/tex], which is a rational number.

So, the five rational numbers between -1 and 0 are:
- -0.5
- -0.8
- -0.25
- -0.75
- -0.1

And that's how you can list five rational numbers between -1 and 0!