# Study sets matching "algebra 1a properties real"

Study sets

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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…

Closure Property of Addition

Closure Property of Multiplication

Commutative Property of Addition

Commutative Property of Multiplication

a + b is a unique real number

ab is a unique real number

a + b = b+ a

ab = ba

Closure Property of Addition

a + b is a unique real number

Closure Property of Multiplication

ab is a unique real number

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

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

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 of Multiplication

Commutative Property of Addition

Associative Property of Multiplication

Associative Property of Addition

3 x 2 = 2 x 3

5 + 4 = 4 + 5

(7 x 2) x 6 = 7 x (2 x 6)

(8 + 7) + 1 = 8 + (7 + 1)

Commutative Property of Multiplication

3 x 2 = 2 x 3

Commutative Property of Addition

5 + 4 = 4 + 5

COMMUTATIVE Property of Addition ... (comm…

COMMUTATIVE Property of Multiplication…

ASSOCIATIVE Property of Addition ... (asso…

ASSOCIATIVE Property of Multiplication…

3 + 5 = 5 +3

9 x 6 = 6 x 9

4 + (6 + 3) = (4 + 6) + 3

7 x (5 x 3) = (7 x 5) x 3

COMMUTATIVE Property of Addition ... (comm…

3 + 5 = 5 +3

COMMUTATIVE Property of Multiplication…

9 x 6 = 6 x 9

Commutative Property

Additive and Multiplicative Identity

Multiplicative Inverse

Additive Inverse

If two terms are added or multiplied, the order is reversible.

Any term added to zero remains unchanged. The Multiplicative P…

Stated that when multiplying a term by its reciprocal, the res…

States that when opposites are added, the result is always zer…

Commutative Property

If two terms are added or multiplied, the order is reversible.

Additive and Multiplicative Identity

Any term added to zero remains unchanged. The Multiplicative P…

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)

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

The order in which you add two numbers does not change their s…

The order in which you multiply two numbers does not change th…

The way you group three numbers in a sum does not change the s…

The way you group three numbers in a product does not change t…

Commutative Property of Addition

The order in which you add two numbers does not change their s…

Commutative Property of Multiplication

The order in which you multiply two numbers does not change th…

Reflexive Property

Transitive Property

Substitution Property

Additive Identity

Any quantity is equal to itself. a=a(4=4)

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

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

For any number(a), the sum of a and 0 is a. (4+0=4)

Reflexive Property

Any quantity is equal to itself. a=a(4=4)

Transitive Property

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

Associative Property

Commutative Property

Identity Property

Inverse Property

Addition: (a + b) + c = a + (b + c)... Multiplication: (ab)c = a(…

Addition: a + b = b + a... Multiplication: ab = ba

Addition: a + 0 = a = 0 + a... Multiplication: a ∙ 1 = a = 1 ∙ a

Addition: a + (−a) = 0 = (−a) + a... Multiplication: a ∙ (1/a) =…

Associative Property

Addition: (a + b) + c = a + (b + c)... Multiplication: (ab)c = a(…

Commutative Property

Addition: a + b = b + a... Multiplication: ab = ba