Real Number System

Front

What is a real number?

Back

A real number is any number that can be found on the number line, including both rational and irrational numbers.

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a fraction of two integers. Its decimal representation is non-terminating and non-repeating.

Front

Give an example of an irrational number.

Back

An example of an irrational number is Pi (π) or the square root of 2 (√2).

Front

What is a rational number?

Back

A rational number is any number that can be expressed as a fraction a/b, where a and b are integers and b is not zero.

Front

What is the difference between a terminating decimal and a repeating decimal?

Back

A terminating decimal has a finite number of digits after the decimal point, while a repeating decimal has one or more digits that repeat infinitely.

Front

Is the number 0.333... rational or irrational?

Back

The number 0.333... is a rational number because it can be expressed as the fraction 1/3.

Front

What type of number is 5?

Back

5 is a natural number, whole number, integer, rational number, and real number.

Front

What are natural numbers?

Back

Natural numbers are the set of positive integers starting from 1 (1, 2, 3, ...).

Front

What are whole numbers?

Back

Whole numbers are the set of natural numbers including zero (0, 1, 2, 3, ...).

Front

What is an integer?

Back

An integer is any whole number that can be positive, negative, or zero (-2, -1, 0, 1, 2, ...).