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 example of a rational number?

Back

1/4 is an example of a rational number.

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

What is an example of an irrational number?

Back

√50 is an example of an irrational number.

Front

How can you identify a rational number from a list?

Back

A rational number can be identified as any number that can be written as a fraction, such as 1/2, 3, or -4.

Front

What is the decimal representation of a rational number?

Back

The decimal representation of a rational number either terminates (like 0.5) or repeats (like 0.333...).

Front

What is the decimal representation of an irrational number?

Back

The decimal representation of an irrational number is non-terminating and non-repeating (like π or √2).

Front

Between which two whole numbers does √27 lie?

Back

√27 lies between 5 and 6.

Front

Is 0.141414141414... a rational number?

Back

Yes, 0.141414141414... is a rational number because it can be expressed as 14/99.

Front

Is √2 a rational or irrational number?

Back

√2 is an irrational number.