Rational vs 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 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 the number 0.75 rational or irrational?

Back

Rational (it can be expressed as \frac{3}{4}).

Front

Is the number \sqrt{2} rational or irrational?

Back

Irrational (it cannot be expressed as a fraction).

Front

Which of the following is a rational number: 1/2, π, √3?

Back

1/2 (it can be expressed as a fraction).

Front

What is the decimal representation of a rational number?

Back

A rational number can have a terminating or repeating decimal representation.

Front

What is the decimal representation of an irrational number?

Back

An irrational number has a non-terminating, non-repeating decimal representation.

Front

Is the number -5 rational or irrational?

Back

Rational (it can be expressed as \frac{-5}{1}).

Front

Classify the number 3.14159...

Back

Irrational (it is an approximation of π, which is irrational).

Front

Is the number \sqrt{16} rational or irrational?

Back

Rational (it equals 4, which is an integer).