Ordering and Comparing Real 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 irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction; it is a non-ending, non-repeating decimal.

Front

Is the number 0.75 rational or irrational?

Back

Rational

Front

Is the number π rational or irrational?

Back

Irrational

Front

What type of number is √25?

Back

Rational (it equals 5).

Front

What type of number is √12?

Back

Irrational (it cannot be simplified to a fraction).

Front

Between which two whole numbers is √5?

Back

2 and 3.

Front

What is the decimal representation of a rational number?

Back

A decimal representation of a rational number either terminates (stops) or repeats.

Front

What is the decimal representation of an irrational number?

Back

A decimal representation of an irrational number neither terminates nor repeats.

Front

Is the number 2.48 rational or irrational?

Back

Rational.