Question

Classify each number as rational or irrational:
A. -5 time pi
B. 2.3 with a line over 3
C. - 1/3
D. square root of 9

Answer 1

Let's classify each number:

A. \(-5 \times \pi\)
- This is a product of a rational number (-5) and an irrational number (\(\pi\)). The result is irrational.
**Classification: Irrational**

B. \(2.3\) with a line over \(3\) (which represents \(2.3333...\))
- This is a repeating decimal, which can be expressed as a fraction. Therefore, it is rational.
**Classification: Rational**

C. \(-\frac{1}{3}\)
- This is a fraction, and all fractions are rational numbers.
**Classification: Rational**

D. \(\sqrt{9}\)
- The square root of 9 is 3, which is an integer and can be expressed as a fraction (3/1). Therefore, it is rational.
**Classification: Rational**

**Summary:**
A: Irrational
B: Rational
C: Rational
D: Rational