Classification of Numbers

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

Give an example of a rational number.

Back

1/4 is an example of a rational number.

Front

What is the decimal representation of the rational number 1/3?

Back

0.3333... (repeating) is the decimal representation of 1/3.

Front

What are natural numbers?

Back

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

Front

Are whole numbers a subset of integers?

Back

Yes, whole numbers (0, 1, 2, 3, ...) are a subset of integers.

Front

What is the difference between whole numbers and natural numbers?

Back

Whole numbers include zero, while natural numbers do not.

Front

What is an integer?

Back

An integer is any whole number that can be positive, negative, or zero.

Front

Is -17.565 a rational number?

Back

Yes, -17.565 is a rational number because it can be expressed as a fraction (-17565/1000).

Front

What is an example of an irrational number?

Back

An example of an irrational number is √2, which cannot be expressed as a fraction of two integers.

Front

Are all integers whole numbers?

Back

No, not all integers are whole numbers; negative integers are not whole numbers.