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 0.75.

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

Which of the following is an integer? -1/2, 0.2, 3/4, -2

Back

-2 is an integer.

Front

Which of the following numbers is not rational? -3, 2.7, √4, √5

Back

√5 is not rational.

Front

Which of the following numbers is rational? √7, 2/3, 3.1456289..., π

Back

2/3 is rational.

Front

What are whole numbers?

Back

Whole numbers are non-negative integers, including zero. The set of whole numbers is {0, 1, 2, 3, ...}.

Front

Which number is NOT an integer? 0, 45, -19, 12.3

Back

12.3 is not an integer.

Front

What is the difference between rational and irrational numbers?

Back

Rational numbers can be expressed as fractions of integers, while irrational numbers cannot be expressed as fractions.

Front

Give an example of a rational number.

Back

An example of a rational number is 1/4.

Front

Give an example of an irrational number.

Back

An example of an irrational number is π (pi).