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. Examples include 1/2, 3, and -4.

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. Examples include √2, π, and e.

Front

Is the number 0 rational or irrational?

Back

0 is a rational number because it can be expressed as 0/1.

Front

Is the number √36 rational or irrational?

Back

√36 is rational because it equals 6, which can be expressed as 6/1.

Front

Is the number √50 rational or irrational?

Back

√50 is irrational because it cannot be expressed as a fraction of two integers.

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...).

Front

What is the decimal representation of an irrational number?

Back

The decimal representation of an irrational number is non-terminating and non-repeating (like 3.14159...).

Front

Which of the following is a rational number: 2.5, √5, π?

Back

2.5 is a rational number because it can be expressed as 5/2.

Front

Which of the following is an irrational number: √4, 0.75, √2?

Back

√2 is an irrational number because it cannot be expressed as a fraction.

Front

What is the square root of 4?

Back

The square root of 4 is 2, which is a rational number.