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.

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 difference between whole numbers and natural numbers?

Back

Whole numbers include all natural numbers plus zero: {0, 1, 2, 3, ...}.

Front

What are integers?

Back

Integers are whole numbers that can be positive, negative, or zero: {..., -3, -2, -1, 0, 1, 2, 3, ...}.

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.

Front

Is 8/11 a rational number?

Back

Yes, 8/11 is a rational number because it can be expressed as a fraction of two integers.

Front

What is the set of rational numbers?

Back

The set of rational numbers includes all numbers that can be expressed as a fraction, including integers, whole numbers, and finite or repeating decimals.

Front

Which of the following is NOT a rational number: -42, 5/0, 0, 14.7?

Back

5/0 is NOT a rational number because division by zero is undefined.

Front

What is the relationship between rational and real numbers?

Back

All rational numbers are also real numbers, but not all real numbers are rational (e.g., irrational numbers).

Front

What is an example of a whole number?

Back

An example of a whole number is 5.