Rational v. 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 4/3 a rational number?

Back

Yes, 4/3 is a rational number because it can be expressed as the fraction of two integers.

Front

Is the number 0 a rational number?

Back

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

Front

What is the decimal representation of a rational number?

Back

The decimal representation of a rational number either terminates (ends) or repeats.

Front

What is the decimal representation of an irrational number?

Back

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

Front

Give an example of a rational number.

Back

An example of a rational number is 1/2 or 0.75.

Front

Give an example of an irrational number.

Back

An example of an irrational number is √2 or π (pi).

Front

Is 4.89125... a rational number?

Back

No, 4.89125... is an irrational number because it does not terminate or repeat.

Front

What is the difference between rational and irrational numbers?

Back

The difference is that rational numbers can be expressed as fractions of integers, while irrational numbers cannot be expressed as such.