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Questions and Answers
What type of number is represented by the term 'Real Number'?
What type of number is represented by the term 'Real Number'?
What is a rational 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?
What defines a whole number?
The set of natural numbers including zero.
What is the definition of an integer?
What is the definition of an integer?
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What characterizes natural numbers?
What characterizes natural numbers?
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What is an irrational number?
What is an irrational number?
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What type of numbers does '3/4' represent?
What type of numbers does '3/4' represent?
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What type of number is '-6'?
What type of number is '-6'?
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What type of number is '0'?
What type of number is '0'?
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What type of number is '√25'?
What type of number is '√25'?
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What type of number is '√17'?
What type of number is '√17'?
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What type of number is 'π'?
What type of number is 'π'?
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What type of number is '6.22222...'?
What type of number is '6.22222...'?
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What type of number is '5.37373737...'?
What type of number is '5.37373737...'?
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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
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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.
