(3)/(2) is an in tege r 2. 2 is a real n umbe r 3. sqrt (3) is a ra tiona I numb er 1. pi is a re al num ber -17 is an int eger 5. sqrt (49) is a rat ional n umbe r 7. 0 is a natu raI num ber

1. $\frac{3}{2}$ is not an integer. An integer is a whole number that can be positive, negative, or zero. $\frac{3}{2}$ is a fraction.<br /><br />2. 2 is a real number. Real numbers include all rational and irrational numbers. 2 is a rational number, and therefore, it is also a real number.<br /><br />3. $\sqrt{3}$ is not a rational number. A rational number can be expressed as a fraction of two integers. $\sqrt{3}$ is an irrational number because it cannot be expressed as a fraction of two integers.<br /><br />4. $\pi$ is a real number. $\pi$ is an irrational number, which means it cannot be expressed as a fraction of two integers. However, it is still a real number.<br /><br />5. $-17$ is an integer. Integers include all positive and negative whole numbers, including zero. $-17$ is a negative whole number, so it is an integer.<br /><br />6. $\sqrt{49}$ is a rational number. $\sqrt{49}$ is equal to 7, which can be expressed as a fraction of two integers (7/1). Therefore, it is a rational number.<br /><br />7. 0 is not a natural number. Natural numbers are typically defined as positive whole numbers starting from 1. However, some definitions of natural numbers include 0. In this case, 0 is not considered a natural number.