List five rational numbers between:
`-1 and 0`

Answer

To find five rational numbers between -1 and 0, we can follow these steps:

### Step 1: Identify the Rational Numbers
We know that rational numbers can be expressed in the form of a fraction \( \frac{a}{b} \), where \( a \) and \( b \) are integers and \( b \neq 0 \). We want to find rational numbers between -1 and 0.

### Step 2: Write -1 and 0 as Fractions
We can express -1 and 0 as fractions:
- \(-1\) can be written as \(-\frac{1}{1}\)
- \(0\) can be written as \(\frac{0}{1}\)

### Step 3: Choose a Common Denominator
To find rational numbers between these two fractions, we can choose a common denominator. Let's choose 6 for simplicity.

### Step 4: Convert -1 and 0 to the Common Denominator
Now, we convert both fractions to have a denominator of 6:
- \(-1 = -\frac{1}{1} = -\frac{6}{6}\)
- \(0 = \frac{0}{1} = \frac{0}{6}\)

### Step 5: List Rational Numbers Between -6 and 0
Now we can list five rational numbers between \(-\frac{6}{6}\) and \(\frac{0}{6}\):
1. \(-\frac{5}{6}\)
2. \(-\frac{4}{6}\)
3. \(-\frac{3}{6}\)
4. \(-\frac{2}{6}\)
5. \(-\frac{1}{6}\)

### Conclusion
Thus, the five rational numbers between -1 and 0 are:
1. \(-\frac{5}{6}\)
2. \(-\frac{4}{6}\)
3. \(-\frac{3}{6}\)
4. \(-\frac{2}{6}\)
5. \(-\frac{1}{6}\)

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