Final answer:
The number that is a rational number but not an integer among the given options is 7.6. This is because it has a decimal part and cannot be classified as an integer, but it can be expressed as a fraction, which makes it a rational number.
Step-by-step explanation:
The question asks which number is a rational number but not an integer. A rational number can be written as a ratio of two integers (a fraction) where the denominator is not zero. An integer is a whole number that can be positive, negative, or zero, without any decimal or fractional parts. Looking at the options:
- A) 10 is an integer and also a rational number.
- B) -13 is an integer and also a rational number.
- C) 9.0 is an integer since it is equal to 9, which is a whole number.
- D) 7.6 is not an integer because it has a decimal part, but it is a rational number because it can be written as the fraction 76/10.
Therefore, the number that is a rational number but not an integer is 7.6.