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. This includes rational numbers (like integers and fractions) and irrational numbers (like √2 and π).

Front

Define an integer.

Back

An integer is a whole number that can be positive, negative, or zero. Examples include -3, 0, and 7.

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 4.

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 π and √2.

Front

Classify the number 4.2.

Back

4.2 is a rational number because it can be expressed as 42/10.

Front

Classify the number -4.2.

Back

-4.2 is a rational number because it can be expressed as -42/10.

Front

Classify the number 4/3.

Back

4/3 is a rational number because it is a fraction of two integers.

Front

Is 0 a whole number?

Back

Yes, 0 is considered a whole number.

Front

Classify the number -78.

Back

-78 is an integer, a rational number, and a real number.

Front

What is the difference between whole numbers and integers?

Back

Whole numbers are non-negative integers (0, 1, 2, ...), while integers include negative numbers as well (-1, -2, ...).