how many rational numbers are b/w -1and0
e.g
-5/7, -2/3, -12345/12355, etc
a lot of them.
What is the mathematical name for "a lot of them" ?
Infinite
To find the number of rational numbers between -1 and 0, we need to consider the properties of rational numbers.
A rational number is any number that can be expressed as a fraction, where both the numerator and the denominator are integers. In other words, a rational number can be written as p/q, where p and q are integers, and q is not equal to zero.
In this case, we are looking for rational numbers between -1 and 0, exclusive. So, our task is to find the number of fractions that satisfy this condition.
The denominator of any fraction between -1 and 0 will be positive, as a negative denominator would result in a negative value. So we are only concerned with positive denominators.
The next step is to find the possible values for the numerator. In this case, the numerator can take any integer value from -1 to -1 + 1 = 0 (exclusive), because we want the fraction to be strictly between -1 and 0.
Now, if we count the number of integers from -1 to 0 (exclusive), we have a total of 1. Therefore, there is only 1 rational number between -1 and 0.
To summarize, there is only one rational number between -1 and 0.