Five Rational Numbers Between -1 and 0

There are several rational numbers that lie between -1 and 0. Rational numbers are those that can be expressed as fractions, where the numerator and denominator are both integers. In this case, we need to find five such numbers that are between -1 and 0. Let's explore some examples:

1. -3/4
The rational number -3/4 lies between -1 and 0. To understand this, we can visualize a number line where -1 is on the left side and 0 is on the right side. -3/4 is closer to 0 than it is to -1. If we convert -3/4 to a decimal, it becomes -0.75, which is clearly between -1 and 0.

2. -1/2
Another rational number between -1 and 0 is -1/2. Similar to the previous example, -1/2 is closer to 0 than it is to -1 on the number line. When -1/2 is written as a decimal, it becomes -0.5, which falls between -1 and 0.

3. -2/3
The rational number -2/3 is also between -1 and 0. On the number line, it is closer to 0 than to -1. As a decimal, -2/3 can be expressed as approximately -0.67, confirming that it lies between -1 and 0.

4. -4/5
Next, we have -4/5 as a rational number between -1 and 0. On the number line, it is closer to 0 than to -1. When -4/5 is converted to a decimal, it becomes approximately -0.8, which is between -1 and 0.

5. -1/10
Lastly, -1/10 is a rational number between -1 and 0. It is significantly closer to 0 than it is to -1 on the number line. As a decimal, -1/10 is equal to -0.1, which clearly falls between -1 and 0.

Summary
In summary, the five rational numbers between -1 and 0 are:
1. -3/4 (-0.75)
2. -1/2 (-0.5)
3. -2/3 (-0.67)
4. -4/5 (-0.8)
5. -1/10 (-0.1)

These examples illustrate that rational numbers can be found between any two given numbers, including -1 and 0.