Real Number System

Front

What is 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

Define an integer.

Back

An integer is a whole number that can be positive, negative, or zero, but does not include fractions or decimals.

Front

What are natural numbers?

Back

Natural numbers are the set of positive integers starting from 1, i.e., 1, 2, 3, 4, ...

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

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction; its decimal representation goes on forever without repeating.

Front

Give an example of a rational number.

Back

An example of a rational number is 1/2 or 0.75.

Front

Give an example of an irrational number.

Back

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

Front

Can a number be both rational and irrational?

Back

No, a number cannot be both rational and irrational.

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

What are whole numbers?

Back

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