Question

List all numbers from the given set that are a. natural​ numbers, b. whole​ numbers, c.​ integers, d. rational​ numbers, e. irrational​ numbers, and f. real numbers.

Answer 1

See attached

Explanation:

You want the given numbers classified as to Natural, Whole, Integer, Rational, Irrational, and/or Real.

Real

All the given numbers are real.

Irrational

The number √2 is irrational. All the others are rational.

Integer

The values √16 = 4, 0, and -5 are integer values. Whole numbers are non-negative integers, so exclude -5. Natural numbers are positive integers, so exclude 0 and -5.

The Xs indicate the categories each number belongs to.