What is a rational number that is between 10 and 11?
A rational number that is between 10 and 11 is, for example, 10.5.
To find a rational number between 10 and 11, we can use the fact that any number can be expressed as a fraction.
We can start by finding two fractions: one that is slightly less than 11 and one that is slightly greater than 10. Since both 10 and 11 can be expressed as fractions (10/1 and 11/1), we can easily find these fractions.
Let's find a fraction slightly less than 11:
- We can choose a denominator of 10 to keep it simple.
- Multiplying the denominator by the whole number (1 in this case) gives us 10.
- To find the numerator, we need to find a multiple of 10 that is slightly less than 11, let's say 10.9.
- The fraction slightly less than 11 is 10.9/1 = 109/10.
Now, let's find a fraction slightly greater than 10:
- Again, we can choose a denominator of 10.
- Multiplying the denominator by the whole number (1 in this case) gives us 10.
- To find the numerator, we need to find a multiple of 10 that is slightly greater than 10, let's say 10.1.
- The fraction slightly greater than 10 is 10.1/1 = 101/10.
Therefore, a rational number between 10 and 11 is any fraction between 109/10 and 101/10.