# Study sets matching "algebra 2 number properties"

Study sets

Diagrams

Classes

Users

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)

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

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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…

inverse property of addition

commutative property of addition

associative property of addition

identity property of addition

the sum of a number and its opposite is 0

the ORDER of the addends (numbers being added together) does n…

the grouping of addends using parenthesis doesn't affect their…

the sum of any number and zero is the original number

inverse property of addition

the sum of a number and its opposite is 0

commutative property of addition

the ORDER of the addends (numbers being added together) does n…

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

Commutative Property

Associative Property

Distributive Property

Additive Inverse Property

of addition; a + b = b + a, of multiplication; ab = ba

of addition; a + (b+c) = (a+b) + c

a(b+c)= ab + ac : a(b-c) = ab - ac

a + (-a) = 0

Commutative Property

of addition; a + b = b + a, of multiplication; ab = ba

Associative Property

of addition; a + (b+c) = (a+b) + c

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…

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…

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.

Natural Number

Whole numbers

Integers

Rational numbers

numbers used for counting 1,2,3...

are natural numbers and 0

natural numbers (positive integers),0, negative integers

All numbers that can be written as quotients of integers. ... Mus…

Natural Number

numbers used for counting 1,2,3...

Whole numbers

are natural numbers and 0

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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

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