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; it cannot be written as a ratio of two integers.

Front

Is -6 a rational number?

Back

Yes, -6 is a rational number because it can be expressed as -6/1.

Front

Is 1.4325674454354245... a rational number?

Back

No, 1.4325674454354245... is an irrational number because it has a non-repeating, non-terminating decimal.

Front

Give an example of a rational number.

Back

An example of a rational number is 3/4.

Front

Give an example of an irrational number.

Back

An example of an irrational number is √2.

Front

What is the decimal representation of a rational number like?

Back

The decimal representation of a rational number either terminates (like 0.75) or repeats (like 0.333...).

Front

What is the decimal representation of an irrational number like?

Back

The decimal representation of an irrational number is non-terminating and non-repeating (like π or e).

Front

Is 0 a rational number?

Back

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

Front

Is the square root of 9 a rational number?

Back

Yes, the square root of 9 is 3, which is a rational number.