Real Number Classification System

Front

What is 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

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; their decimal representation goes on forever without repeating.

Front

What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero, but does not include fractions or decimals.

Front

Give an example of a rational number.

Back

Examples include 1/2, -3, or 0.75.

Front

Give an example of an irrational number.

Back

Front

What is the difference between a rational number and an integer?

Back

All integers are rational numbers, but not all rational numbers are integers (e.g., 1/2 is rational but not an integer).

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal fraction that eventually repeats the same sequence of digits indefinitely, such as 0.333... or 0.142857142857... .

Front

What is a terminating decimal?

Back

A terminating decimal is a decimal that has a finite number of digits after the decimal point, such as 0.5 or 2.75.

Front

Can negative numbers be rational?

Back

Yes, negative numbers can be rational if they can be expressed as a fraction of two integers.