Sets and Subsets - Real Number System

Front

What is a set in mathematics?

Back

A set is a collection of distinct objects, considered as an object in its own right.

Front

What is a subset?

Back

A subset is a set where all elements are also contained in another set.

Front

What are real numbers?

Back

Real numbers include all the rational and irrational numbers.

Front

Define rational numbers.

Back

Rational numbers are numbers that can be expressed as a fraction of two integers.

Front

Define irrational numbers.

Back

Irrational numbers cannot be expressed as a simple fraction; their decimal representation is non-repeating and non-terminating.

Front

What are integers?

Back

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

Front

What are whole numbers?

Back

Whole numbers are non-negative integers, including zero.

Front

What is the relationship between rational and irrational numbers?

Back

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

Front

Give an example of a rational number.

Back

1/2 is a rational number because it can be expressed as a fraction.

Front

Give an example of an irrational number.

Back

The square root of 2 is an example of an irrational number.