Real Number System

Front

What is the definition of a real number?

Back

A real number is any number that can be found on the number line, including both rational and irrational numbers.

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a fraction of two integers. Its decimal representation is non-repeating and non-terminating.

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.

Front

What are whole numbers?

Back

Whole numbers are non-negative integers, including zero (0, 1, 2, 3, ...).

Front

What are natural numbers?

Back

Natural numbers are the set of positive integers starting from 1 (1, 2, 3, ...). They do not include zero.

Front

How can you identify a rational number?

Back

A number is rational if it can be expressed as a ratio of two integers (a fraction).

Front

Is the number 0 a natural number?

Back

No, 0 is not considered a natural number; natural numbers start from 1.

Front

What is the relationship between whole numbers and rational numbers?

Back

All whole numbers are also rational numbers because they can be expressed as a fraction with a denominator of 1.

Front

Can an irrational number be expressed as a fraction?

Back

No, an irrational number cannot be expressed as a fraction of two integers.

Front

What is an example of an irrational number?

Back

An example of an irrational number is √2 or π (pi).