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 1/2, 3, and -4.

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction. It is a non-repeating, non-terminating decimal. Examples include √2 and π.

Front

What are natural numbers?

Back

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

Front

What are whole numbers?

Back

Whole numbers are the set of natural numbers including zero. They are 0, 1, 2, 3, and so on.

Front

What are integers?

Back

Integers are whole numbers that can be positive, negative, or zero. Examples include -3, 0, and 5.

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

Classify the number: 0.75

Back

Rational, real.

Front

Classify the number: -5

Back

Integer, rational, real.

Front

Classify the number: √3

Back

Irrational, real.

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal fraction that eventually repeats the same sequence of digits. For example, 0.333... is a repeating decimal.