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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

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

a + b + c = b + a + c

a x b = b x a

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

(a x b) x c = a x (b x c)

Commutative Property of Addition

a + b + c = b + a + c

Commutative Property of Multiplication

a x b = b x a

Associative property of addition

Associative property of multiplication

Commutative property of addition

commutative property of multiplication

(5+3) + 1 = 5 + (3 + 1)

(2 ** 6) ** 7 = 2 ** (6 ** 7)

For any number a and b, a + b = b + a

5x4+4x5=20, a ** b = b ** a

Associative property of addition

(5+3) + 1 = 5 + (3 + 1)

Associative property of multiplication

(2 ** 6) ** 7 = 2 ** (6 ** 7)

Symmetric Property of Equality

Transitive Property of Equality

Reflexive Property of Equality

Additive Identity

17 = 14+3 so 14+3 = 17

If a=b and b=c, then a=c... If 2=(5-3) and (5-3)=(9-7) then 2 =…

A=A; 13+3=13+3

A + 0 = A, 13 +0 = 13

Symmetric Property of Equality

17 = 14+3 so 14+3 = 17

Transitive Property of Equality

If a=b and b=c, then a=c... If 2=(5-3) and (5-3)=(9-7) then 2 =…

The Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

a+b=b+a

a x b=b x a

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

(a x b) x c= a x (b x c)

The Commutative Property of Addition

a+b=b+a

Commutative Property of Multiplication

a x b=b x a

Commutative Property

Associative Property

Additive Indentity

Multiplicative Identity

For any # a&b, a+b=b+a... works only for addition and Multiplica…

For any # a,b,c... a+(b+c)=(a+b)+c... different grouping

For any # a: a+0= 0+a = a or 0+1=1+0 =1

For any # that you multiply by one equals that # ex: Ax1=A... 1x…

Commutative Property

For any # a&b, a+b=b+a... works only for addition and Multiplica…

Associative Property

For any # a,b,c... a+(b+c)=(a+b)+c... different grouping

Commutative property of addition

commutative property of multiplication

associative property of addition

associative property of multiplication

2+3=3+2 ... a+b=b+a

5x7=7x5 ... axb=bxa

(4+5)+7=4+(5+7)... (A+b)+c=a+(b+c)

(4x5)x7=4x(5x7) ... (axb)c=a(bxc)

Commutative property of addition

2+3=3+2 ... a+b=b+a

commutative property of multiplication

5x7=7x5 ... axb=bxa

Additive Identity

Multiplicative Identity

Additive Inverse

Multiplicative Inverse

a.k.a: zero 5+0=5 Number is still the same

a.k.a: one 5x1=5 Number keeps its identity

add opposites and you get zero; ... 5+(-5)= 0

number times reciprocal and you get 1; 2/3 * 3/2= 1

Additive Identity

a.k.a: zero 5+0=5 Number is still the same

Multiplicative Identity

a.k.a: one 5x1=5 Number keeps its identity

Identity property of addition

Commutative property of addition

Associative property of addition

Inverse property of addition

The sum of any number and zero that number

Changing the order of the addends does not change the sum

Changing the grouping of the addends doesn't change the sum

The sum of a number and its additive inverse is zero

Identity property of addition

The sum of any number and zero that number

Commutative property of addition

Changing the order of the addends does not change the sum

distributive property

associative property

commutative property

additive identity

the property that multiplies everything inside by the parenth…

Changing the grouping of numbers will NOT change the value. F…

The order of two numbers may be switched around and the answe…

the sum of any number and zero is equal to the number... a + 0 = a

distributive property

the property that multiplies everything inside by the parenth…

associative property

Changing the grouping of numbers will NOT change the value. F…

integers

additive inverse

commutative property

associative property

natural numbers, their opposites, and zero

2 integers that are called opposites ((2+(-2) = 0))

order doesn't matter, applies to multiplication and addition,…

grouping doesn't matter, applies to multiplication and additi…

integers

natural numbers, their opposites, and zero

additive inverse

2 integers that are called opposites ((2+(-2) = 0))

Commutative

Associative

Additive Identity

Multiplicative Identity

Changing the order does not change the answer

Changing the grouping doesn't change the answer

Adding 0 doesn't change an answer

Multiplying by 1 doesn't change an answer

Commutative

Changing the order does not change the answer

Associative

Changing the grouping doesn't change the answer

1. Associative Property of Addition

2. Associative Property of Multiplicat…

3. Commutative Property of Addition

4. Commutative Property of Multiplicat…

When three or more numbers are added, the sum is the same reg…

When three or more numbers are multiplied, the product is the…

When two or more numbers are added, the sum is the same regar…

When two numbers are multiplied together, the product is the…

1. Associative Property of Addition

When three or more numbers are added, the sum is the same reg…

2. Associative Property of Multiplicat…

When three or more numbers are multiplied, the product is the…

Communative property of addition

Associative property of addition

Identity property of addition

Commutative property of multiplication

You can CHANGE the ORDER of addends

You can CHANGE the GROUPING of addends

Adding -0- to the number doesn't change the number

Changeling the ORDER of factors will not change the product

Communative property of addition

You can CHANGE the ORDER of addends

Associative property of addition

You can CHANGE the GROUPING of addends

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative property of multiplication

Changing the ORDER of addends does not change the sun

Changing the ORDER of the factors does not change the product

Changing the grouping of addends does not change the sum

Changing the grouping of factors does not change the product

Commutative Property of Addition

Changing the ORDER of addends does not change the sun

Commutative Property of Multiplication

Changing the ORDER of the factors does not change the product

Commutative for Addition and Multiplic…

Associative for Addition and Multiplic…

Identity for Addition and Multiplication

Distributive for Multiplication over A…

Algebraic Expression: a+b = b+a ... a(b) = b(a)... Numerical Expre…

Algebraic Expression: ... a+(b+c)=(a+b)+c... a(b×c)=(a×b)c... Numeric…

Algebraic Expression: ... a+0=a ... a(1)=a... Numerical Expression: ... 7…

Algebraic Expression: ... a(b+c)= a(b) + a(c)... Numerical Expressi…

Commutative for Addition and Multiplic…

Algebraic Expression: a+b = b+a ... a(b) = b(a)... Numerical Expre…

Associative for Addition and Multiplic…

Algebraic Expression: ... a+(b+c)=(a+b)+c... a(b×c)=(a×b)c... Numeric…

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

a + b = b + a

a x b = b x a

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

(a x b) x c = a x (b x c)

Commutative Property of Addition

a + b = b + a

Commutative Property of Multiplication

a x b = b x a

commutative property of addition

commutative property of multiplication

associative property of addition

associative property of multiplication

a + b = b + a... the order in which you add numbers does not cha…

a x b = b x a... Changes the order of the factors-doesn't change…

(a+b)+c=a+(b+c)... Changing the grouping of three or more adden…

Groups change ,but order stays the same. Example:(6x9)x4=6x(9…

commutative property of addition

a + b = b + a... the order in which you add numbers does not cha…

commutative property of multiplication

a x b = b x a... Changes the order of the factors-doesn't change…

Commutative Property of Addition

Associative property of addition

Identity property of addition

Inverse property of addition

-4+7=7+(-4)

(5+4)+3/4=5+(4+3/4)

7+0=0+7=7

6/13+(-6/13)=-6/13+6/13=0

Commutative Property of Addition

-4+7=7+(-4)

Associative property of addition

(5+4)+3/4=5+(4+3/4)

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

Changing the order of addends does not change the sum (C-A).

Changing the order of factors does not change the product (C-…

Changing the groupings of addends does not change the sum (A-…

Changing the groupings of factors does not change the product…

Commutative Property of Addition

Changing the order of addends does not change the sum (C-A).

Commutative Property of Multiplication

Changing the order of factors does not change the product (C-…

Commutative

Associative

Additive Identity

Multiplicative Identity

Changing the order does not change the answer. Works with add…

Changing the grouping does not change the answer. Works with…

Adding 0 does not change an answer.

multiplying by 1 does not change an answer.

Commutative

Changing the order does not change the answer. Works with add…

Associative

Changing the grouping does not change the answer. Works with…

1. Associative Property of Addition

2. Associative Property of Multiplicat…

3. Commutative Property of Addition

4. Commutative Property of Multiplicat…

When three or more numbers are added, the sum is the same reg…

When three or more numbers are multiplied, the product is the…

When two or more numbers are added, the sum is the same regar…

When two numbers are multiplied together, the product is the…

1. Associative Property of Addition

When three or more numbers are added, the sum is the same reg…

2. Associative Property of Multiplicat…

When three or more numbers are multiplied, the product is the…

Commutative Property of Multiplication

Commutative Property of Addition

Associative Property of Multiplication

Associative Property of Addition

3 × 2 = 2 × 3

5 + 4 = 4 + 5

(7 × 2) × 6 = 7 × (2 × 6)

(8 + x) + 1 = 8 + (x + 1)

Commutative Property of Multiplication

3 × 2 = 2 × 3

Commutative Property of Addition

5 + 4 = 4 + 5

Variable

Algebraic Expression

Algebraic Equation

Commutative Property of +

A symbol that represents an unknown number.

A mathematical phrase that has at least one variable and one…

A mathematical phrase that has at least one variable, one ope…

The order in which numbers are added does not change the sum.…

Variable

A symbol that represents an unknown number.

Algebraic Expression

A mathematical phrase that has at least one variable and one…

Associative Property of Addition

Associative Property of Multiplication

Commutative Property of Addition

Commutative Property of Multiplication

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

(a x b) x c = a x (b x c)

a + b = b + a

a x b = b x a

Associative Property of Addition

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

Associative Property of Multiplication

(a x b) x c = a x (b x c)

associative property of multiplication

distributive property

identity property of addition

identity property of multiplication

a(bc) = (ab)c Grouping doesn't matter for multiplication.

a(b + c) = ab + ac or a(b - c) = ab - ac

a + 0 = a

a * 1 = a

associative property of multiplication

a(bc) = (ab)c Grouping doesn't matter for multiplication.

distributive property

a(b + c) = ab + ac or a(b - c) = ab - ac

(7 + 4) + 3 = 7 + (4 + 3)

3 + 0 = 3

3 x 1 = 3

8 x 3 x 6 = 6 x 3 x 8

Associative Property of Addition

Additive Identity

Multiplicative Identity

Commutative Property of Multiplication

(7 + 4) + 3 = 7 + (4 + 3)

Associative Property of Addition

3 + 0 = 3

Additive Identity

1 * (3c) = 3c

14 + (9 + 10) = (14 + 9) + 10

(4 + a) (0) = 0

5 ** (a ** 3) = (5 ** a) ** 3

Multiplicative Identity

Associative property of Addition

Multiplicative Property of Zero

Associative Property of Multiplication

1 * (3c) = 3c

Multiplicative Identity

14 + (9 + 10) = (14 + 9) + 10

Associative property of Addition

Commutative Property of Multiplication

Commutative Property of Addition

Associative Property of Multiplication

Associative Property of Addition

3 × 2 = 2 × 3

5 + 4 = 4 + 5

(7 × 2) × 6 = 7 × (2 × 6)

(8 + x) + 1 = 8 + (x + 1)

Commutative Property of Multiplication

3 × 2 = 2 × 3

Commutative Property of Addition

5 + 4 = 4 + 5

Additive Identity

Multiplicative Identity

Multiplicative Property Of Zero

Commutative Property of Addition

When 0 is added to any number, the sum is the number.

Any number multiplied by 1, product is the number.

When any number is multiplied by 0, product is 0.

The order in which numbers are added does not change the sum.

Additive Identity

When 0 is added to any number, the sum is the number.

Multiplicative Identity

Any number multiplied by 1, product is the number.

What is symmetry?

Line of Symmetry

transformation

reflection

Symmetry is when one shape becomes exactly like another if yo…

The line that divides a figure into two congruent halves. Mat…

A figure that is changed by moving it in some way. The figure…

A transformation where a figure is flipped over a line. In a…

What is symmetry?

Symmetry is when one shape becomes exactly like another if yo…

Line of Symmetry

The line that divides a figure into two congruent halves. Mat…