Real Number System

Front

What is the definition of a real number?

Back

A real number is any value that represents a quantity along a continuous line, including all 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 the difference between whole numbers and natural numbers?

Back

Whole numbers include all natural numbers plus zero (0).

Front

Define rational numbers.

Back

Rational numbers are numbers that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

What are irrational numbers?

Back

Irrational numbers are numbers that cannot be expressed as a simple fraction; they have non-repeating, non-terminating decimal expansions.

Front

Give an example of an irrational number.

Back

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

Front

What is the classification of the number 0?

Back

The number 0 is classified as a whole number but not a natural number.

Front

What is the classification of the number 1.01276894...?

Back

The number 1.01276894... is classified as an irrational number.

Front

What types of numbers does 1,378,472,706 belong to?

Back

1,378,472,706 is classified as a natural number, whole number, integer, rational number, and real number.

Front

What is the square root of a non-perfect square, such as √13?

Back

The square root of a non-perfect square, like √13, is an irrational number.