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?
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What type of number is 5.67?
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What type of number is √25?
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What type of number is 3.14159...?
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What type of number is 3/2?
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What type of number is -5.4?
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What type of number is -73?
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What type of number is 4.313131 (Repeating)?
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What type of number is -0.987987 (Repeating)?
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What type of number is √10?
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What type of number is √5?
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What type of number is √100?
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What type of number is -2/5?
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What type of number is -87?
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What type of number is 85?
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What type of number is 0.43892...?
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What type of number is -0.474747 (Repeating)?
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What type of number is 321?
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What type of number is not provided?
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What type of number is undefined?
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Study Notes
Classification of Real Numbers
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Natural Numbers: Positive integers starting from 1, including examples like 3, √25 (5), √100 (10), and 85. No negative or fractional numbers.
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Whole Numbers: Include all natural numbers and zero. The only example provided is 0.
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Integers: Consist of whole numbers, both positive and negative. Examples include -4, -73, and -87.
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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.
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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...
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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.
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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.
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Usage: Understanding the classification aids in identifying, comparing, and performing operations on different types of numbers.
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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.