Questions and Answers
What type of number is represented by the term 'Real Number'?
What is a rational number?
Any number that can be written in the form of a fraction a/b.
What defines a whole number?
The set of natural numbers including zero.
What is the definition of an integer?
Signup and view all the answers
What characterizes natural numbers?
Signup and view all the answers
What is an irrational number?
Signup and view all the answers
What type of numbers does '3/4' represent?
Signup and view all the answers
What type of number is '-6'?
Signup and view all the answers
What type of number is '0'?
Signup and view all the answers
What type of number is '√25'?
Signup and view all the answers
What type of number is '√17'?
Signup and view all the answers
What type of number is 'π'?
Signup and view all the answers
What type of number is '6.22222...'?
Signup and view all the answers
What type of number is '5.37373737...'?
Signup and view all the answers
Study Notes
Real Number System
- Comprises all rational and irrational numbers.
- Encompasses any number that exists in mathematics.
Rational Numbers
- Defined as numbers that can be expressed as a fraction (a/b).
- Their decimal representations either terminate or repeat.
Whole Numbers
- Includes all natural numbers plus zero.
- Examples: 0, 1, 2, 3, 4, ...
Integers
- All whole numbers and their negative counterparts.
- Includes positive, negative numbers, and zero: -3, -2, -1, 0, 1, 2, 3, ...
Natural Numbers
- The set of counting numbers starting from 1.
- Examples: 1, 2, 3, 4, 5, ...
Irrational Numbers
- Cannot be expressed as a simple fraction (a/b).
- They have non-terminating and non-repeating decimal expansions.
Examples of Numbers and Their Categories
- 3/4: Real, Rational
- -6: Real, Rational, Integer
- 0: Real, Rational, Integer, Whole
- 4 7/8: Real, Rational
- -3.6: Real, Rational
- 2: Real, Rational, Integer, Whole, Natural
- √25 (5): Real, Rational, Integer, Whole, Natural
- √17: Real, Irrational
- 6.22222...: Real, Rational
- π: Real, Irrational
- √55: Real, Irrational
- -√100 (-10): Real, Rational, Integer
- 5.37373737...: Real, Rational
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Explore the Real Number System and its subsets through these flashcards. Learn about rational numbers, whole numbers, integers, and more. Perfect for students looking to master the concept of numbers in mathematics.
