Real Number System

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. Examples include integers, fractions, and repeating or terminating decimals.

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal fraction that eventually repeats a digit or a group of digits. For example, 0.333... (which is 1/3) is a repeating decimal.

Front

What is an integer?

Back

An integer is any whole number that can be positive, negative, or zero. Examples include -3, 0, and 5.

Front

What is a whole number?

Back

A whole number is a non-negative integer, which includes all positive integers and zero. Examples are 0, 1, 2, 3.

Front

Are all whole numbers rational numbers?

Back

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

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. Examples include √2 and π.

Front

What type of number is ⅛?

Back

⅛ is a rational number because it can be expressed as a fraction of two integers.

Front

What is the difference between rational and irrational numbers?

Back

Rational numbers can be expressed as fractions of integers, while irrational numbers cannot be expressed as fractions and have non-repeating, non-terminating decimal expansions.

Front

Can a repeating decimal be classified as a rational number?

Back

Yes, a repeating decimal is classified as a rational number because it can be expressed as a fraction.

Front

What is the definition of a natural number?

Back

Natural numbers are the set of positive integers starting from 1, 2, 3, and so on. They do not include zero or negative numbers.