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

√45 is an example of an irrational number.

Front

Is the number √25 rational or irrational?

Back

Rational, because √25 = 5, which can be expressed as 5/1.

Front

Is -17.5 a rational number?

Back

Yes, -17.5 is a rational number because it can be expressed as -35/2.

Front

What type of number is a repeating decimal?

Back

A repeating decimal is a rational 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 a rational number?

Back

The decimal representation of a rational number either terminates or repeats.

Front

What is the decimal representation of an irrational number?

Back

The decimal representation of an irrational number is non-terminating and non-repeating.