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Introductory Algebra Glossary
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Elements (members)

Elements (members)

The objects that belong to a set.

Slide 30

Number line

Number line

A line with a scale that is used to show how numbers relate to each other.

Slide 31

Negative number

Negative number

A number located to the left of zero on a number line.

Slide 32

Positive number

Positive number

A number located to the right of zero on the number line.

Slide 33

Signed numbers

Signed numbers

Numbers that can be written with a positive or negative sign.

Slide 34

Integers

Integers

The set of integers is:

{ .-3, -2, -1, 0, 1, 2, 3, .}.

Slide 35

Graph of a number

Graph of a number

The point on a number line that corresponds to a number is its graph.

Slide 36

Rational numbers

Rational numbers

Rational numbers can be written as the quotient of two integers, with denominator not zero.

Slide 37

Set-builder notation

Set-builder notation

Set-builder notation is used to describe a set of numbers without actually having to list all of the elements.

Slide 38

Irrational numbers

Irrational numbers

Irrational numbers cannot be written as the quotient of two integers but can be represented by points on the number line.

Slide 39

Real numbers

Real numbers

All numbers that can be represented by points on the number line, that is, all rational and irrational numbers.

Slide 40

Additive inverse

Additive inverse

Two numbers that are the same distance from zero on a number line but on opposite sides of zero. The sum of two additive inverses equals zero.

Slide 41

Absolute value

Absolute value

The distance between zero and a number on a number line.

Slide 42

Multiplicative inverse (reciprocal)

Multiplicative inverse (reciprocal)

The multiplicative inverse of a nonzero real number a is 1/a. The product of multiplicative inverses is one.

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