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Questions and Answers
What are Natural Numbers?
What are Natural Numbers?
- The positive counting numbers (correct)
- The positive and negative counting numbers and zero
- The positive counting numbers and zero
- Any number that can be written as a fraction of two integers
What are Whole Numbers?
What are Whole Numbers?
The positive counting numbers and zero
What are Integers?
What are Integers?
The positive and negative counting numbers and zero
What are Rational Numbers?
What are Rational Numbers?
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What are Irrational Numbers?
What are Irrational Numbers?
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What is Absolute Value?
What is Absolute Value?
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What is an Extraneous Solution?
What is an Extraneous Solution?
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Study Notes
Number Types in Algebra II
- Natural Numbers: Consist of all positive counting numbers starting from 1 (e.g., 1, 2, 3, ...).
- Whole Numbers: Extend natural numbers by including zero (e.g., 0, 1, 2, 3, ...).
- Integers: Comprise whole numbers along with their negative counterparts (e.g., ..., -3, -2, -1, 0, 1, 2, 3, ...).
Rational and Irrational Numbers
- Rational Numbers: Any number expressible as a fraction p/q where p and q are integers, and q is not zero; includes repeating and terminating decimals (e.g., 1/2, 0.75).
- Irrational Numbers: Numbers that cannot be written as a simple fraction; represented by nonterminating, nonrepeating decimals (e.g., √2, π).
Additional Key Concepts
- Absolute Value: Represents the distance of a number from zero on the number line, always non-negative (e.g., |−3| = 3).
- Extraneous Solution: A solution derived from an equation that does not satisfy the original equation; must be checked for validity.
Studying That Suits You
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Description
Test your understanding of basic algebraic definitions with these flashcards from Algebra II Chapter 1. This quiz covers essential concepts such as natural numbers, whole numbers, integers, and rational numbers. Perfect for reinforcing your knowledge and preparing for exams.
