Question

5 what type of number is -5π? a whole number b integer c rational number d irrational number

Explanation:

Step1: Recall number type definitions

Whole numbers are non - negative integers (\(0, 1, 2, \dots\)). Integers are whole numbers and their negatives (\(\dots, - 2, - 1, 0, 1, 2, \dots\)). Rational numbers can be expressed as \(\frac{p}{q}\) where \(p,q\in\mathbb{Z}\) and \(q
eq0\). Irrational numbers cannot be expressed as a fraction of two integers, and \(\pi\) is irrational.

Step2: Analyze \(- 5\pi\)

Since \(\pi\) is irrational, multiplying it by \(- 5\) (an integer) still gives an irrational number. \(-5\pi\) cannot be written as \(\frac{p}{q}\) (\(p,q\in\mathbb{Z}, q
eq0\)), so it is not rational. It is not a whole number (whole numbers are non - negative) and not an integer (integers are rational and \(-5\pi\) is not rational).

Answer:

D. Irrational number