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

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.

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal fraction that eventually repeats the same sequence of digits indefinitely.

Front

Is 0.333... a rational number?

Back

Yes, 0.333... is a rational number because it can be expressed as 1/3.

Front

Is the number 4/3 rational or irrational?

Back

4/3 is a rational number.

Front

What characterizes a decimal that goes on forever without repeating?

Back

A decimal that goes on forever without repeating is characterized as an irrational number.

Front

Can all integers be classified as rational numbers?

Back

Yes, all integers are rational numbers because they can be expressed as a fraction with a denominator of 1.

Front

What is the decimal representation of the rational number 1/4?

Back

The decimal representation of 1/4 is 0.25.