# Study sets matching "algebra 1a properties real"

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

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

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 (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

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 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 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

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 ∙ (a/1) =…

Associative Property

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

Commutative Property

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

Commutative Property

Substitution Property

Symmetric Property

Reflexive Property

a+b=b+a... ab=ba

If a=b, then can be replaced by b and vice versa.

If a=b then b=a

a=a

Commutative Property

a+b=b+a... ab=ba

Substitution Property

If a=b, then can be replaced by b and vice versa.

Commutative property of addition.

Commutative property of multiplication

Associative Property of addition

Associative property of multiplication.

A+B= B+A

A

**B=B**A(6+7)+8=6+(7+8)

(8

**9)**7=8(9*7)Commutative property of addition.

A+B= B+A

Commutative property of multiplication

A

**B=B**Acommutative property

additive and multiplicative property of…

multiplicative inverse

additive inverse

addition: a+b=b+a multiplication:(a)(b)=(b)(a)

addition: a+0=a multiplication:(a)(1)=a

(a/b)(b/a)=1

a+(-a)=0

commutative property

addition: a+b=b+a multiplication:(a)(b)=(b)(a)

additive and multiplicative property of…

addition: a+0=a multiplication:(a)(1)=a

commutative property

additive and multiplicative property of…

multiplicative inverse

additive inverse

addition: a+b=b+a multiplication:(a)(b)=(b)(a)

addition: a+0=a multiplication:(a)(1)=a

(a/b)(b/a)=1

a+(-a)=0

commutative property

addition: a+b=b+a multiplication:(a)(b)=(b)(a)

additive and multiplicative property of…

addition: a+0=a multiplication:(a)(1)=a