Rational vs Irrational

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 or quotient of two integers. Its decimal representation is non-repeating and non-terminating.

Front

Is the number 0 a rational number?

Back

Yes, 0 is a rational number because it can be expressed as 0/1.

Front

Is the number 1/2 a rational number?

Back

Yes, 1/2 is a rational number because it is the quotient of two integers (1 and 2).

Front

What is the square root of 2 classified as?

Back

The square root of 2 is classified as an irrational number.

Front

Is the number -96.33 repeating rational or irrational?

Back

The number -96.33 repeating (-96.333...) is a rational number because it can be expressed as a fraction.

Front

What is the decimal representation of an irrational number like?

Back

The decimal representation of an irrational number is non-repeating and non-terminating.

Front

Can a perfect square be a rational number?

Back

Yes, a perfect square is always a rational number because it can be expressed as the square of an integer.

Front

Is the number 244 a perfect square?

Back

No, 244 is not a perfect square.

Front

What is an example of an irrational number?

Back

An example of an irrational number is pi (π) or the square root of 3 (√3).