#### Study sets matching "algebra properties"

#### Study sets matching "algebra properties"

Additive Identity

Multiplicative Identity

Distributive Property

Commutative Property (Addition)

A number plus zero is always itself. n+0=n... 6+0 = 6

A number times one is always equal to itself. nx1=n... 3 x 1 = 3

A number is distributed to others. a(b+c)=ab+ac... 3(x+5) = 3x +…

Numbers "commute." Order changes. a+b=b+a... ((The first 2 lette…

Additive Identity

A number plus zero is always itself. n+0=n... 6+0 = 6

Multiplicative Identity

A number times one is always equal to itself. nx1=n... 3 x 1 = 3

Commutative Property

Associative Property

Distributive Property

Multiplicative Property of Zero

When adding or multiplying order doesn't matter... a+b=b+a a

**b=b**aWhen adding or multiplying you can rearrange the parentheses.…

Multiply a single term and two or more terms inside a set of…

Anything multiplied by zero equals zero.... x*0=0

Commutative Property

When adding or multiplying order doesn't matter... a+b=b+a a

**b=b**aAssociative Property

When adding or multiplying you can rearrange the parentheses.…

commutative property

associative property

distributive property

identity property

Order of values does matter! also multiplication

Grouping of values does matter! also multiplication

Multiplying a value to an expression inside ( ), [ ], { },

Stays the same! also adding

commutative property

Order of values does matter! also multiplication

associative property

Grouping of values does matter! also multiplication

Commutative Property Addition

Commutative Property Multiplication

Associative Property Addition

Associative Property Multiplication

C stands for change O is for order

C stands for Change O is for order

Change Parenthesis

Change Parenthesis

Commutative Property Addition

C stands for change O is for order

Commutative Property Multiplication

C stands for Change O is for order

Commutative Property Addition

Commutative Property Multiplication

Associative Property Addition

Associative Property Multiplication

C stands for change O is for order

C stands for Change O is for order

Change Parenthesis

Change Parenthesis

Commutative Property Addition

C stands for change O is for order

Commutative Property Multiplication

C stands for Change O is for order

Reflexive Property of Equality

Symmetric Property of Equality

Substitution Property of Equality

Transitive Property of Equality

a=a

If a = b, then b = a

If a =b, then either a or b may be substituted for the other…

If a = b and b = c, then a = c

Reflexive Property of Equality

a=a

Symmetric Property of Equality

If a = b, then b = a

Additive Identity

Multiplicative Identity

Distributive Property

Commutative Property (Addition)

A number plus zero is always itself. n+0=n... 6+0 = 6

A number times one is always equal to itself. nx1=n... 3 x 1 = 3

A number is distributed to others. a(b+c)=ab+ac... 3(x+5) = 3x +…

Numbers "commute." Order changes. a+b=b+a... ((The first 2 lette…

Additive Identity

A number plus zero is always itself. n+0=n... 6+0 = 6

Multiplicative Identity

A number times one is always equal to itself. nx1=n... 3 x 1 = 3

Associative Property of Addition

Associative Property of Multiplication

Commutative Property of Addition

Commutative Property of Multiplication

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

(ab)c = a(bc)

a + b = b + a

ab = ba

Associative Property of Addition

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

Associative Property of Multiplication

(ab)c = a(bc)

Reflexive Property

Symmetric Property

Transitive Property

Commutative Property

Any quantity is equal to itself. Ex. a=a, 2=2, x=x

If a first quantity is equal to a second quantity, then the s…

If a first quantity is equal to a second quantity, and the se…

When you are adding or multiplying, the order of the terms ma…

Reflexive Property

Any quantity is equal to itself. Ex. a=a, 2=2, x=x

Symmetric Property

If a first quantity is equal to a second quantity, then the s…

Commutative Property for Addition

Commutative Property for 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 for Addition

a + b = b + a

Commutative Property for Multiplication

ab = ba

Symmetric

Transitive property

Addition property of equality

Multiplication property of equality

Shows that numbers and variables can be moved around the equa…

if a=b and b=c, then a=c

If you add the same numbers to each side of an equation, both…

If you multiply the same numbers to each side of an equation,…

Symmetric

Shows that numbers and variables can be moved around the equa…

Transitive property

if a=b and b=c, then a=c

rational numbers

irrational numbers

Commutative Property of Addition

Commutative Property of Multiplication

can be expressed as a fraction

cannot be expressed as a fraction

5 ( 2 + y ) = 5 ( y + 2 )

5 (2 + y ) = ( 2 + y ) 5

rational numbers

can be expressed as a fraction

irrational numbers

cannot be expressed as a fraction

commutative property

associative property

distributive property

identity property

Order of values does matter! also multiplication

Grouping of values does matter! also multiplication

Multiplying a value to an expression inside ( ), [ ], { },

Stays the same! also adding

commutative property

Order of values does matter! also multiplication

associative property

Grouping of values does matter! also multiplication

Commutative property of addition

Commutative property of multiplication

Associative property of addition

Associative property of multiplication

a+b=b+a... (x+y) + z = z + (x+y)... (change order of terms)

a

**b=b**a... (x**y)**z = z**(x**y)... change order of terms(a+b) + c = a + (b+c)... change grouping of terms

(a

**b)**c = a**(b**c)... change grouping of termsCommutative property of addition

a+b=b+a... (x+y) + z = z + (x+y)... (change order of terms)

Commutative property of multiplication

a

**b=b**a... (x**y)**z = z**(x**y)... change order of termscommutative property

associative property

distributive property

identity property

A property where we "swap" the numbers. There are NO parenthe…

A property where the grouping of numbers doesn't matter. Ther…

A property where you using sharing or spreading out on each s…

A number multiplied by itself is always itself.

commutative property

A property where we "swap" the numbers. There are NO parenthe…

associative property

A property where the grouping of numbers doesn't matter. Ther…

Commutative Property for Addition... (cha…

Commutative Property for Multiplicatio…

Associative Property for Addition... (cha…

Associative Property for Multiplicatio…

Ex: 5 + 6 = 6 + 5... 3 + 4 + 5 = 4 + 3 + 5... a + b = b + a

Ex: 5(6) = 6(5)... 3(5)(6) = 3(6)(5)... ab = ba

Ex: (2 + 3) + 4 = 2 + (3 + 4) ... 5 + (9 + 3) = (5 + 9) + 3…

Ex: (2 x 3) x 4 = 2 x (3 x 4)... 5 x ( 2 x 4) = (5 x 2) x 4…

Commutative Property for Addition... (cha…

Ex: 5 + 6 = 6 + 5... 3 + 4 + 5 = 4 + 3 + 5... a + b = b + a

Commutative Property for Multiplicatio…

Ex: 5(6) = 6(5)... 3(5)(6) = 3(6)(5)... ab = ba