Real Number System

Front

Are irrational numbers real numbers?

Back

Always

Front

What are real numbers?

Back

Real numbers include all the rational and irrational numbers, encompassing integers, whole numbers, fractions, and non-repeating, non-terminating decimals.

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

Give an example of an irrational number.

Back

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

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 simple fractions.

Front

Are all integers real numbers?

Back

Yes, all integers are real numbers.

Front

What is the decimal representation of a rational number?

Back

The decimal representation of a rational number either terminates (e.g., 0.5) or repeats (e.g., 0.333...).

Front

What is the decimal representation of an irrational number?

Back

The decimal representation of an irrational number is non-terminating and non-repeating (e.g., 3.14159...).

Front

Can a number be both rational and irrational?

Back

No, a number cannot be both rational and irrational.

Front

What is the set of real numbers denoted by?

Back

The set of real numbers is denoted by the symbol ℝ.