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

Is pi (π) a rational or irrational number?

Back

Irrational - pi is an irrational number because it cannot be expressed as a fraction.

Front

Is the square root of 7 (√7) a rational or irrational number?

Back

Irrational - the square root of 7 cannot be expressed as a fraction.

Front

Is 0.141414141414... a rational or irrational number?

Back

Rational - this number is a repeating decimal and can be expressed as a fraction.

Front

What is an example of a rational number?

Back

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

Front

What is an example of an irrational number?

Back

Examples include √2, √3, and π.

Front

How can you identify a rational number?

Back

A rational number can be identified if it can be expressed as a fraction a/b, where a and b are integers and b ≠ 0.

Front

How can you identify an irrational number?

Back

An irrational number cannot be expressed as a fraction and its decimal representation is non-repeating and non-terminating.

Front

Is the square root of 2 (√2) a rational or irrational number?

Back

Irrational - the square root of 2 cannot be expressed as a fraction.