The Real Number System

Front

What is the Real Number System?

Back

The Real Number System includes all the numbers that can be found on the number line, including rational numbers (like integers and fractions) and irrational numbers (like square roots of non-perfect squares and pi).

Front

What is an Integer?

Back

An integer is a whole number that can be positive, negative, or zero. Examples include -3, 0, and 5.

Front

What is a Rational Number?

Back

A rational number is any number that can be expressed as a fraction a/b, where a and b are integers and b is not zero. Examples include 1/2, -3, and 0.

Front

What is an Irrational Number?

Back

An irrational number cannot be expressed as a simple fraction. Its decimal representation goes on forever without repeating. Examples include √2 and π.

Front

What are Whole Numbers?

Back

Whole numbers are non-negative integers, including zero. Examples are 0, 1, 2, 3, etc.

Front

Are all integers whole numbers?

Back

No, not all integers are whole numbers. Whole numbers are only non-negative integers.

Front

What is a Natural Number?

Back

Natural numbers are the set of positive integers starting from 1. Examples include 1, 2, 3, etc.

Front

Can a number be both rational and irrational?

Back

No, a number cannot be both rational and irrational. They are mutually exclusive categories.

Front

What is the difference between rational and irrational numbers?

Back

Rational numbers can be expressed as fractions, while irrational numbers cannot be expressed as fractions.

Front

Classify the number -14.

Back

-14 is classified as an integer, rational, and real number.