1.2 Sets of Real Numbers Write all names that apply to each number. 8. \( \frac{121}{\sqrt{121}} \) 9. \( \frac{\pi}{2} \) 10. Tell whether the statement "All integers are rational numbers" is true or false. Explain your choice.

For the first expression, \( \frac{121}{\sqrt{121}} \), it simplifies to \( \frac{121}{11} = 11 \). Therefore, the names that apply to this number include: natural number, whole number, integer, rational number, and real number. For the second expression, \( \frac{\pi}{2} \), this number is approximately 1.57 and represents a value between two integers. It can be categorized as irrational, real, and can sometimes be seen in contexts involving transcendental numbers since \(\pi\) itself is a transcendental, irrational number. Regarding the statement "All integers are rational numbers," it is true! This is because rational numbers are defined as numbers that can be expressed as a fraction \( \frac{a}{b} \), where \( a \) and \( b \) are integers and \( b \neq 0 \). Since every integer can be expressed in the form \( \frac{n}{1} \), where \( n \) is any integer, all integers are indeed rational.