# Study sets matching "algebra properties real"

Study sets

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Classes

Users

additive property of zero

additive property of zero

additive property of zero

commutative property of addition

rule: a+0=0+a=a

means: zero added to the value is that value

example: 9+0=9

rule: a+b=b+a

additive property of zero

rule: a+0=0+a=a

additive property of zero

means: zero added to the value is that value

Commutative Property of Addition

Associative Property of Addition

Identity Property of Addition

Commutative Property of Multiplication

Changing the order of the addends does not change the sum.... a +…

Changing the grouping of addends does not change the sum.... (a +…

The sum of 0 and any number is that number.... 0 + c = c

Changing the order of the factors does not change the product.…

Commutative Property of Addition

Changing the order of the addends does not change the sum.... a +…

Associative Property of Addition

Changing the grouping of addends does not change the sum.... (a +…

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

a + b = b + a

ab = ba

(a + b) + c = a + (b + c)

(ab)c = a(bc)

Commutative Property of Addition

a + b = b + a

Commutative Property of Multiplication

ab = ba

Closure property of addition

Closure property of multiplication

Addition property of Zero

Multiplication property of one

a + b is a unique real number

ab is a unique real number

0+a = a and a+0 = a

a • 1 = a and 1 • a = a

Closure property of addition

a + b is a unique real number

Closure property of multiplication

ab is a unique real number

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

a + b = b + a ... Ex: 6+3=3+6

a x b = b x a... Ex: 4x5=5x4

(a + b) + c = a + (b + c)... Ex: (3+4)+7 = 3+(4+7)

(a x b) x c = a x (b x c)... Ex: (2 x 5) x 8 = 2 x (5 x 8)

Commutative Property of Addition

a + b = b + a ... Ex: 6+3=3+6

Commutative Property of Multiplication

a x b = b x a... Ex: 4x5=5x4

Commutative Property

Associative Property (of addition or mu…

Identity property

Inverse Property (of addition or multip…

Order of values does not matter!

Grouping of values does not matter!

Stays the same!

Using opposite(+)/reciprocal (*) to cancel a value!

Commutative Property

Order of values does not matter!

Associative Property (of addition or mu…

Grouping of values does not matter!

Commutative Property of addition and mu…

Associative Property of addition and mu…

Distributive Property of multiplication…

Identities for addition and multiplicat…

-order doesn't matter ... 2+5= 5+2

-the way numbers are grouped doesn't matter... 5+(2+4)= (5+2)+4

6(3+2)= 6(5)= 30

3+0= 3

Commutative Property of addition and mu…

-order doesn't matter ... 2+5= 5+2

Associative Property of addition and mu…

-the way numbers are grouped doesn't matter... 5+(2+4)= (5+2)+4

Commutative Property (addition or multi…

Associative Property (Addition or multi…

Distributive Property

Additive Inverse

The order of numbers do not matter... 5+8 = 5+8

The way numbers are paired does not matter *must always be sam…

Multiplication can be distributed over addition or subtraction…

When 0 is added or subtracted from any number, the number is u…

Commutative Property (addition or multi…

The order of numbers do not matter... 5+8 = 5+8

Associative Property (Addition or multi…

The way numbers are paired does not matter *must always be sam…

Commutative Property (addition)

Associative Property (addition)

Identity Property (addition)

Additive Inverse Property

You can switch the order of the numbers... example : 3+6 = 6+3

You can switch the parenthesis... example: (1+2)+5 = 1+ (2+5)

If you add 0 to any number, the number stays the same ... example…

When you add a number and its inverse (opposite) the answer is…

Commutative Property (addition)

You can switch the order of the numbers... example : 3+6 = 6+3

Associative Property (addition)

You can switch the parenthesis... example: (1+2)+5 = 1+ (2+5)

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.…

Commutative property

Associative property

Distributive property

Additive Identity

2x3 = 3x2... 2+3 = 3+2 , The order of two numbers may be switched…

(a+b) +c = a+(b+c) , Changing the grouping of numbers will NOT…

a(b+c) = a(b)+a(c)

Zero added or subtracted to any number = itself... 4+0= 4 ... 4x1= 4

Commutative property

2x3 = 3x2... 2+3 = 3+2 , The order of two numbers may be switched…

Associative property

(a+b) +c = a+(b+c) , Changing the grouping of numbers will NOT…

Real Numbers

Rational Numbers

Irrational Numbers

Intergers

All rational and irrational numbers

All integers written in fractions... -intergers Ex. 1/2, 7/12, 2/…

Any square root that can be simplified... -non terminating, non r…

Whole numbers, their opposites and zero... -Ex. -4, -3, -2, -1, 0…

Real Numbers

All rational and irrational numbers

Rational Numbers

All integers written in fractions... -intergers Ex. 1/2, 7/12, 2/…