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 16^2 a rational number?

Back

Yes, 16^2 = 256, which is a rational number.

Front

Is 40 a rational number?

Back

Yes, 40 can be expressed as 40/1, making it a rational number.

Front

Is 22^3 a rational number?

Back

Yes, 22^3 = 10648, which is a rational number.

Front

Is 3.1415872041840219586... a rational number?

Back

No, this number is an approximation of pi, which is an irrational number.

Front

Is 12/3 a rational number?

Back

Yes, 12/3 = 4, which is a rational number.

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 the square root of 2 (√2) or pi (π).

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...).