Real Number System

Front

What is a rational number?

Back

A rational number is any number that can be expressed as a ratio of two integers, where the denominator is not zero.

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction; it cannot be written as a ratio of two integers.

Front

Can a number be both rational and irrational?

Back

No, a number cannot be both rational and irrational.

Front

What is the set of natural numbers?

Back

The set of natural numbers includes all positive integers starting from 1 (1, 2, 3, ...).

Front

What is the set of whole numbers?

Back

The set of whole numbers includes all natural numbers and zero (0, 1, 2, 3, ...).

Front

What is the set of integers?

Back

The set of integers includes all whole numbers and their negative counterparts (..., -3, -2, -1, 0, 1, 2, 3, ...).

Front

What is the relationship between rational and irrational numbers?

Back

Rational numbers and irrational numbers together make up the set of real numbers.

Front

Which of the following is an example of an irrational number?

Back

The square root of 8 (√8) is an example of an irrational number.

Front

What is the only number that is a whole number but not a natural number?

Back

The only number that is a whole number but not a natural number is 0.

Front

How can you identify a rational number?

Back

A rational number can be identified if it can be written as a fraction or ratio of two integers.