Classifying Real Numbers

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 or ratio. Its decimal representation goes on forever without repeating.

Front

Give an example of a rational number.

Back

Examples include 1/2, -3, 0.75, and 4.

Front

Give an example of an irrational number.

Back

Examples include √2, π (pi), and e (Euler's number).

Front

What kind of decimals are rational?

Back

Rational decimals either terminate (like 0.5) or repeat a pattern (like 0.333...).

Front

What kind of decimals are irrational?

Back

Irrational decimals never end and have no repeating pattern (like 0.1010010001...).

Front

Can a rational number be negative?

Back

Yes, rational numbers can be positive or negative.

Front

What is the square root of a perfect square?

Back

The square root of a perfect square is a rational number (e.g., √16 = 4).

Front

What is the square root of a non-perfect square?

Back

The square root of a non-perfect square is an irrational number (e.g., √2 is irrational).

Front

What is the sum of two rational numbers?

Back

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