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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

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 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

Associative Property

Distributive Property

Multiplicative Property of Zero

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

When 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**a

Associative Property

When adding or multiplying you can rearrange the parentheses.…

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

Identity Property for Addition

Identity Property for Multiplication

Substitution Property

Distributive Property

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

A number times one is always equal to itself. n×1=n

If a=b, then a may be replaced by b in any expression. If x=5…

a(b+c)=ab+ac

Identity Property for Addition

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

Identity Property for Multiplication

A number times one is always equal to itself. n×1=n

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

Associative property

Distributive Property

Additive identity

Order does not matter when you add or multiply

When 3 or more numbers are added or multiplied, you may start…

a(b+c) = ab + ac

0 plus any number = that number

Commutative property

Order does not matter when you add or multiply

Associative property

When 3 or more numbers are added or multiplied, you may start…

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

commutative 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…

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Division Property of Equality

If a = b, then a + c = b + c

If a = b, then a -c = b - c

If a = b, then a x c = b x c

If a = b, then a/c = b/c

Addition Property of Equality

If a = b, then a + c = b + c

Subtraction Property of Equality

If a = b, then a -c = b - c

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…

Additive Identity... (Identity Property o…

Multiplicative Identity... (Identity Prop…

Distributive Property

Commutative Property of 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…

"CO" - Change Order ... a+b=b+a... 3 + a = a + 3

Additive Identity... (Identity Property o…

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

Multiplicative Identity... (Identity Prop…

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

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

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)+c=(b+a)+c

ab=ba

Associative Property of Addition

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

Associative Property of Multiplication

(ab)c=a(bc)

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 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

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 terms

Commutative 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 terms

Commutative Property of Addition

Associative Property of Addition

Inverse Property of Addition

Inverse Property of Multiplication

a + b = b + a

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

a + (-a) = 0

a * 1/a = 1, (if a is not 0)

Commutative Property of Addition

a + b = b + a

Associative Property of Addition

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

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

1+2 = 2+1

2(3) = 3(2)

(1+2)+3 = 1+(2+3)

(1 x 2)3 = (2 x 3)1

Commutative property of addition

Commutative property of multiplication

Associative property of addition

Associative property of multiplication

1+2 = 2+1

Commutative property of addition

2(3) = 3(2)

Commutative property of multiplication

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property

Distributive Property

Change order of the numbers you are adding

Change order of the numbers you are multiplying

Numbers stay in same order, but the parenthesis regroup

The number outside the parenthesis double shares with the num…

Commutative Property of Addition

Change order of the numbers you are adding

Commutative Property of Multiplication

Change order of the numbers you are multiplying

Commutative Property Addition

Commutative Property Multiplication

Associative Property Addition

Associative Property Multiplication

The order in which you add numbers does not change the result.

The order in which you multiply numbers does not change the r…

When using ONLY addition, changing parentheses will not chang…

When using ONLY multiplication, changing parentheses will not…

Commutative Property Addition

The order in which you add numbers does not change the result.

Commutative Property Multiplication

The order in which you multiply numbers does not change the r…

Additive Identity

Additive Inverse

Multiplicative Identity

Multiplicative Property of 0

For any number a, a + 0 = a.

For any number a, a + (-a) = 0

For any number a, a * 1 = a

For any number a, a * 0 = 0

Additive Identity

For any number a, a + 0 = a.

Additive Inverse

For any number a, a + (-a) = 0

addition property of equality

subtraction property of equality

multiplication property of equality

division property of equality

add the same number to both sides of the equations

subtract the same number from both sides of the equation

multiply the same number to both sides of the equation

divide the same number from both sides of the equation

addition property of equality

add the same number to both sides of the equations

subtraction property of equality

subtract the same number from both sides of the equation