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Algebra II Chapter 1 Definitions

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Questions and Answers

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?

The positive counting numbers and zero

What are Integers?

The positive and negative counting numbers and zero

What are Rational Numbers?

Any number that can be written as a fraction of two integers or can be written as a repeating or terminating decimal Signup and view all the answers

What are Irrational Numbers?

Nonterminating, nonrepeating decimal Signup and view all the answers

What is Absolute Value?

The distance from 0 Signup and view all the answers

What is an Extraneous Solution?

A solution that does not make the equation work even when it was found to be a solution Signup and view all the answers

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.

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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.