# Study sets matching "algebra 2 number properties"

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Distributive Property

Commutative Property of Addition

Associative Property of Addition

Identity (Mutliplicitive, Additive)

3 • (4 + 5) = 3 • 4 + 3 • 5

3 + 4 = 4 + 3

3 + (4 + 5) = (3 + 4) + 5

3 + (4 + 5) = (3 + 4) + 5

Distributive Property

3 • (4 + 5) = 3 • 4 + 3 • 5

Commutative Property of Addition

3 + 4 = 4 + 3

Commutative

Associative

Identity

Inverse

a+b = b+a... a x b = b x a

(a+b)+c = a+(b+c)... (a x b) x c = a x (b x c)

a+0 = a = 0+a... a x 1 = a = 1 x a

a+(-a) = 0 = (-a)+a... a x 1/a = 1 = 1/a, a =/0

Commutative

a+b = b+a... a x b = b x a

Associative

(a+b)+c = a+(b+c)... (a x b) x c = a x (b x c)

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identity property of addition

associative property of addition

associative property of multiplication

identity property of multiplication

a+0=a... When 0 is added to any number, the sum is the number.

(a + b) + c = a + (b + c)... Changing the grouping of three or mo…

(ab)c=a(bc)... Changing the grouping of three or more factors doe…

a*1=a... When any number is multiplied by one, it remains unchang…

identity property of addition

a+0=a... When 0 is added to any number, the sum is the number.

associative property of addition

(a + b) + c = a + (b + c)... Changing the grouping of three or mo…

Reflexive Property

Symmetric Property

Transitive Property

Substitution Property

Any quantity is equal to itself

If one quantity equals a second quantity, then the second quan…

If one quantity equals a second quantity and the second quanti…

A quantity may be substituted for its equal in any expression.

Reflexive Property

Any quantity is equal to itself

Symmetric Property

If one quantity equals a second quantity, then the second quan…

Additive Inverse (definition)

Additive Identity Element (definition)

Additive Identity Property

Additive Inverse Property

Another name for opposite

zero

Adding zero to a number leaves it unchanged... X + 0 =X... It does…

The number you add to a number to get zero. The opposite of th…

Additive Inverse (definition)

Another name for opposite

Additive Identity Element (definition)

zero

natural numbers (N)

whole numbers (W)

integers (Z)

rational numbers(Q)

use to count

natural numbers and zero

natural numbers, their opposites and zero

all numbers that can be written as a fraction, terminating, an…

natural numbers (N)

use to count

whole numbers (W)

natural numbers and zero

Natural Numbers (N)

Whole Numbers (W)

Integers (Z)

Rational Numbers (Q)

All numbers that are positive starting at 1. ... Ex: 1, 5, 7, 10

All numbers that are positive starting at 1 and including 0.…

All numbers that are positive, negative, and including 0. ... Ex…

All numbers that are positive, negative, zero, terminating dec…

Natural Numbers (N)

All numbers that are positive starting at 1. ... Ex: 1, 5, 7, 10

Whole Numbers (W)

All numbers that are positive starting at 1 and including 0.…

variable

algebraic expression

exponent

base

a letter that represents an unknown number

a mathematical phrase that includes one or more variables.

a number that shows repeated multiplication

a number that is multiplied repeatedly.

variable

a letter that represents an unknown number

algebraic expression

a mathematical phrase that includes one or more variables.

Absolute Value

Algebraic Expression

Associative Property

Base

The distance from zero to any number on the number line. Examp…

An expression consisting of one or more numbers and variables…

Property Example: (a + b) + c = a + (b + c); (ab)c = a(bc)

In an expression of the form x^n, it is the "x"

Absolute Value

The distance from zero to any number on the number line. Examp…

Algebraic Expression

An expression consisting of one or more numbers and variables…

Distributive Property

Commutative Property

Associative Property

Identity Property

the purpose is to get rid of parentheses

only applies to addition and multiplication, order doesn't mat…

only applies to addition and multiplication, the manner in whi…

What you start with, you end up with

Distributive Property

the purpose is to get rid of parentheses

Commutative Property

only applies to addition and multiplication, order doesn't mat…

natural number

whole number

integer

rational number

1,2,3... ; not including 0, negatives, fractions, decimals

0,1,2,3...; not including negatives, fractions, or decimals

-2, -1, 0,1,2,3...; not including fractions or decimals

any number that can be written as a fraction; 1, .8, -9, 1/2

natural number

1,2,3... ; not including 0, negatives, fractions, decimals

whole number

0,1,2,3...; not including negatives, fractions, or decimals

Rational numbers

Irrational numbers

Whole numbers

Natural numbers

numbers that can be written as a fractions, terminating and re…

numbers that result in non-repeating and non-terminating decim…

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

{1,2,3,4,...}

Rational numbers

numbers that can be written as a fractions, terminating and re…

Irrational numbers

numbers that result in non-repeating and non-terminating decim…

closure Property of Addition

Closure Property of Multiplication

Commutative Property of Addition

Commutative Property of Multiplication

the sum of real numbers is a real number

the product of real numbers is a real number

numbers can be added in any order and will come out the same

numbers can be multiplied in any order and come out the same

closure Property of Addition

the sum of real numbers is a real number

Closure Property of Multiplication

the product of real numbers is a real number