algebra
posted by Liza on .
List all the numbers from the given set that are, a.natural numbers b.whole numbers c.integers d.rational numbers, e.irrational numbers
{9,4/5,0,0.25,ã3,9.2,ã100}

a.natural numbers
Numbers that are nonnegative integers, such as 1,2,12,201,...
There are two definitions of natural numbers, one that includes 0, and the other one does not. Most highschool definitions include 0.
b.whole numbers
Whole numbers do not have decimals nor fractions. They can be positive, negative, or zero. Examples are 100, 23, 0, 40, 47,1729,...
c.integers
Integers are whole numbers. This term is a more technical term than "whole numbers".
d.rational numbers,
Rational numbers are whole numbers or fractions that can be represented by division of two integers, m/n. Whole numbers can be represented by an integer divided by 1.
Examples: 0, 3, 4/5, 144/17, 355/113, 45/13..., 0.4, 3.̅3 (=10/3),
e.irrational numbers
Irrational numbers are real numbers that are not rational, i.e. real numbers that cannot be represented as a quotient of two integers. Examples are: √2, √94, π and e.
This should give you a good idea of how to classify numbers. Proceed with the exercise and post your answers for checking if you wish.
Note:
If you are wondering what a real number is:
a real number is a number that is not complex. A complex number includes an imaginary component, i. A real number is a subset of complex numbers, which has the general form a+bi, where a and b are real numbers, and i is the squareroot of 1. When b=0, the number becomes a real number.