Question

1. which is the correct classification of the value 7π?

a. real, rational, integer
b. real, rational
c. irrational, integer
d. real, irrational

Explanation:

Step1: Recall number - type definitions

Real numbers include both rational and irrational numbers. Rational numbers can be written as a fraction $\frac{a}{b}$ where $a,b\in\mathbb{Z}$ and $b
eq0$. Irrational numbers cannot be written as such a fraction. $\pi$ is an irrational number (a non - repeating, non - terminating decimal).

Step2: Analyze $7\pi$

Since $\pi$ is irrational, multiplying it by a non - zero integer ($7$ in this case) results in an irrational number. All irrational numbers are real numbers.

Answer:

D. Real, irrational