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 are natural numbers?

Back

Natural numbers are the set of positive integers starting from 1, 2, 3, and so on.

Front

What is 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 is a rational number?

Back

A rational number is any number that can be expressed as a fraction where both the numerator and denominator are integers.

Front

What is an irrational number?

Back

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

Front

Is 0 a natural number?

Back

No, 0 is not considered a natural number.

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

Give an example of an integer.

Back

-3 is an example of an integer.

Front

What is the set of whole numbers?

Back

Whole numbers include all natural numbers and zero: 0, 1, 2, 3, ...