Exploring Real Number

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Less

on

1-3

Real

Number

s

Rational Numbers

Integers

Whole Numbers

Irrational Numbers

Natural number

s are

the counting numbers

Whole numbers

arethe nonnegative integers.

Integers arewhole numbers and their opposites.

Rational numbers arereal numbers that can be written as ratios of two integers. Rational numbers in decimal form are terminating or repeating.

Irrational numbers

arenumbers that cannot be written as ratios of two integers. Irrational numbers in decimal form are nonterminating and nonrepeating.

Real numbers

are

numbers that are either rational or irrational.

A counterexa

mple isany example that proves a statement false.

An inequality isA mathematical sentence that compare the values of two expressions using an inequality symbol.

Opposites arenumbers that

are the same distance from zero on a number line, but that lie in opposite directions.

Absolute value is

the distance that a number is from zero on a number line.