Classifying Real Numbers

A rational number can be expressed as a ratio of two integers, where the denominator is not zero. Examples include 1/2, -3, and 0.75.

An irrational number cannot be expressed as a simple fraction. Its decimal representation goes on forever without repeating. Examples include π and √2.

Decimals that never end and have no repeating pattern.

Irrational.

√49 (which equals 7) is rational.

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

A repeating decimal is a decimal that has one or more digits that repeat infinitely, such as 0.333... or 1.666... .

The sum of two rational numbers is always a rational number.

The product of a rational number (other than zero) and an irrational number is always an irrational number.

Yes, rational numbers can be positive, negative, or zero.