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 6.8989898989... rational or irrational?

Back

Rational (it can be expressed as a fraction).

Front

Back

Rational (it is a fraction of two integers).

Front

Is 8,972,546.729 rational or irrational?

Back

Rational (it can be expressed as a fraction).

Front

Back

Irrational (it cannot be expressed as a fraction).

Front

Is 3.1415872041840219586... rational or irrational?

Back

Irrational (it cannot be expressed as a fraction).

Front

Give an example of a rational number.

Back

Front

Give an example of an irrational number.

Back

Front

What is the decimal representation of a rational number like?

Back

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