Questions and Answers
What type of number is 3?
What type of number is 0?
Whole
What type of number is -4?
Integer
What type of number is 1/4?
Signup and view all the answers
What type of number is 5.67?
Signup and view all the answers
What type of number is √25?
Signup and view all the answers
What type of number is 3.14159...?
Signup and view all the answers
What type of number is 3/2?
Signup and view all the answers
What type of number is -5.4?
Signup and view all the answers
What type of number is -73?
Signup and view all the answers
What type of number is 4.313131 (Repeating)?
Signup and view all the answers
What type of number is -0.987987 (Repeating)?
Signup and view all the answers
What type of number is √10?
Signup and view all the answers
What type of number is √5?
Signup and view all the answers
What type of number is √100?
Signup and view all the answers
What type of number is -2/5?
Signup and view all the answers
What type of number is -87?
Signup and view all the answers
What type of number is 85?
Signup and view all the answers
What type of number is 0.43892...?
Signup and view all the answers
What type of number is -0.474747 (Repeating)?
Signup and view all the answers
What type of number is 321?
Signup and view all the answers
What type of number is not provided?
Signup and view all the answers
What type of number is undefined?
Signup and view all the answers
Study Notes
Classification of Real Numbers
-
Natural Numbers: Positive integers starting from 1, including examples like 3, √25 (5), √100 (10), and 85. No negative or fractional numbers.
-
Whole Numbers: Include all natural numbers and zero. The only example provided is 0.
-
Integers: Consist of whole numbers, both positive and negative. Examples include -4, -73, and -87.
-
Rational Numbers: Numbers that can be expressed as a fraction or ratio of integers. Examples range from simple fractions like 1/4, 3/2, and -2/5 to decimals such as 5.67, -0.987987 (repeating), and -5.4.
- Repeating decimals like 4.313131 can also be categorized as rational.
-
Irrational Numbers: Cannot be expressed as a simple fraction. They have non-repeating, non-terminating decimal expansions, with examples including 3.14159... (π), √10, √5, and 0.43892...
-
Key Characteristics:
- Natural numbers are always whole and positive.
- Whole numbers include zero.
- Integers expand to include negative numbers.
- Rational numbers can be decimals that are terminating or repeating.
- Irrational numbers always result in non-repeating and non-terminating decimals.
-
Examples of Classification:
- √25 is classified as natural (value 5).
- -0.474747 (repeating) fits within rational classification.
- 3.14159... is categorized as irrational due to its decimal nature.
-
Usage: Understanding the classification aids in identifying, comparing, and performing operations on different types of numbers.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your knowledge on different types of numbers with this quiz. Identify the categories for integers, fractions, decimals, and more. Perfect for students learning basic math concepts.
