Rational and Irrational Numbers

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 an irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction; it cannot be written as a ratio of two integers.

Front

Give an example of an irrational number.

Back

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

Front

What is the square root of 20 approximately?

Back

The square root of 20 is approximately 4.47.

Front

Between which two whole numbers is √8?

Back

√8 is between 2 and 3.

Front

How do you determine if a number is rational or irrational?

Back

If it can be expressed as a fraction of two integers, it is rational; otherwise, it is irrational.

Front

What is the value of π (pi) to three decimal places?

Back

π (pi) is approximately 3.142.

Front

List the following numbers from least to greatest: -64, 3.5, √27, 6.666...

Back

-64, 3.5, √27 (approximately 5.196), 6.666... (approximately 6.67).

Front

What type of number is a non-perfect square?

Back

A non-perfect square is an irrational number.

Front

Is the number 0.75 rational or irrational?

Back

0.75 is a rational number because it can be expressed as 3/4.