Rational vs. Irrational numbers

Front

What are rational numbers?

Back

Rational numbers are numbers that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

What are irrational numbers?

Back

Irrational numbers are numbers that cannot be expressed as a simple fraction; they cannot be written as a ratio of two integers.

Front

Give an example of a rational number.

Back

An example of a rational number is 1/2 or 0.75.

Front

Give an example of an irrational number.

Back

An example of an irrational number is √2 or π.

Front

What is the difference between integers and rational numbers?

Back

Integers are whole numbers that can be positive, negative, or zero, while rational numbers include all integers as well as fractions.

Front

What is the smallest integer?

Back

There is no smallest integer; integers extend infinitely in the negative direction.

Front

What is the smallest natural number?

Back

The smallest natural number is 1.

Front

Which number is NOT an integer?

Back

-1/2 is not an integer.

Front

What is the definition of a natural number?

Back

Natural numbers are the set of positive integers starting from 1 (1, 2, 3, ...).

Front

What is the definition of an integer?

Back

Integers are whole numbers that can be positive, negative, or zero.