M19 Section 1.1-1.2 - Unit 1

the product of a number and its reciprocal always equal...

one

Natural numbers

The set of numbers 1, 2, 3, 4, ... Also called counting numbers.

Integers

whole numbers and their opposites

Rational numbers

Any number that can be expressed as a fraction

Irrational numbers

Numbers that cannot be expressed as a ratio of two integers. Their decimal expansions are nonending and nonrepeating.

Term

a product of numbers and or variables

variable

a letter

coefficient

the numeric part (factor) of a term

expressions

one or more terms added together no equal sign

Set builder

The set of all multiples of 5 between 7 and 77

(x1 x is all multiples of 5 between 7 and 773)

Roster notation

The set of all multiples of 5 between 7 and 77

(5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 75)

The sum of a number and its opposite always equals...

zero

absolute value

the distance from zero is always positve

Commutative Property

The property that says that two or more numbers can be added or multiplied in any order without changing the result.

Associative Property

Changing the grouping of numbers will NOT change the value. For example: (7 + 4) + 8 = 7 + (4 + 8) also works with multiplication

Distributive Property

a(b + c) = ab + ac

Factoring

rewriting an expression as the product of its factors

Example:

5xy+x=x(5y+1)

Additive Inverse Property

a+(-a)=0

Multiplication inverse

the number that, when multiplied by a given number, results in a product of one

Whole numbers

Example:

0,1,2,3,4...