Algebra II Chapter 1 Definitions

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The positive counting numbers and zero

The positive and negative counting numbers and zero

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

Nonterminating, nonrepeating decimal Signup and view all the answers

The distance from 0 Signup and view all the answers

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

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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 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).

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.