Final answer:
The number -9/10 is a rational number because it can be expressed as the quotient of two integers. It also belongs to the set of real numbers, which includes both rational and irrational numbers.
Step-by-step explanation:
The number -9/10 is a fraction that can be expressed as a decimal, which in this case would be -0.9. This means that -9/10 is a rational number because it can be expressed as the quotient of two integers (where the denominator is not zero). Additionally, all rational numbers are included in the larger set known as real numbers, which consists of all the points on the number line, including both rational and irrational numbers. So, -9/10 belongs to the set of rational numbers as well as the set of real numbers.