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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**c =b**c, where c is not equal to zero

if a=b, then a/c=b/c, where c is not equal to zero

addition property of equality

if a=b, then a+c=b+c

subtraction property of equality

if a=b, then a-c=b-c

Additional property of =

Subtraction property of =

Multiplication property of =

Division property of =

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

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

If a=b then ac=bc

If a=b and c=/ 0, then a/c=b/c

Additional property of =

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

Subtraction property of =

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

Reflexive Property

Symmetric Property

Transitive Property

Addition Property

a=a... ex. 12=12

If a=b, then b=a... ex. 12=13, 13=12

If a=b and b=c then a=c... ex. If 12=12 and 12=12, then 12=12

If a=b, then a+c=b+c... ex. 12+14=12+14

Reflexive Property

a=a... ex. 12=12

Symmetric Property

If a=b, then b=a... ex. 12=13, 13=12

reflexive (property of equality)

symmetric (property of equality)

transitive (property of equality)

additive identity... (identity property o…

a = a

if a = b then b = a

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

a + 0 = a

reflexive (property of equality)

a = a

symmetric (property of equality)

if a = b then b = a

addition property

subtraction property

multiplication property

division property

is a = b then a + c = b + c

if a = b, then a - c = b - c

if a = b, then ac = bc

If a = b and c is not equal to 0 then a/c = b/c

addition property

is a = b then a + c = b + c

subtraction property

if a = b, then a - c = b - c

commutative addition/multiplication

associative addition/multiplication

identity addition/multiplication

inverse addition/multiplication

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

(a+b)+c=a+(b+c)... (ab)c=a(bc)

a+0=a, 0+a=a... 1xa=a, ax1=a

a+(-a)=0... ax1/a=1

commutative addition/multiplication

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

associative addition/multiplication

(a+b)+c=a+(b+c)... (ab)c=a(bc)

reflexive (property of equality)

symmetric (property of equality)

transitive (property of equality)

additive identity... (identity property o…

a = a

if a = b then b = a

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

a + 0 = a

reflexive (property of equality)

a = a

symmetric (property of equality)

if a = b then b = a

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 ac =bc

if a = b and c ≠ 0, 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

Addition property of equality

Subtraction property of equality

Multiplication property of Equality

Division Property of equality

x=y so x+2=y+2

x=y so x-4=y-4

x=y so 3x=3y

x=y so x/y= y/7

Addition property of equality

x=y so x+2=y+2

Subtraction property of equality

x=y so x-4=y-4

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(c)=b(c)

if a=b and c DOES NOT = 0, 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

Addition Property

Subtraction Property

Multiplication Property

Distributive Property

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

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

If a = b, then a ** c = b ** c

Use multiplication to distribute a to each term of the sum or…

Addition Property

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

Subtraction Property

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

addition property

subtraction property

multiplication property

division property

if a = b , then a + c = b + c

if a = b , then a - c = b , c

if a = b , then a × c = b × c

if a = b , then a/c = b/c

addition property

if a = b , then a + c = b + c

subtraction property

if a = b , then a - c = b , c

Addition Property of Equality

Subtration 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 AC=BC

If A=B and C≠0, Then A/C=B/C

Addition Property of Equality

If A=B, Then A+C =B+C

Subtration Property of Equality

If A=B, Then A-C = B-C

Distributive Property

Reflexive Property

Symmetric Property

Transitive Property

a(b+c) = ab + ac... (b+c)a = ba + ca

a = a

If a = b then b = a.

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

Distributive Property

a(b+c) = ab + ac... (b+c)a = ba + ca

Reflexive Property

a = a

Associative property of addition

Commutative property of addition

Identity property of addition

Property of additive inverses

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

a+b=b+a

a+0=0+a=a for zero is the additive identity element

for any real number a there is a unique number -a such that a…

Associative property of addition

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

Commutative property of addition

a+b=b+a

Commutative

Associative

Identity

Closure

Addition : A+ B = B + A... Multiplication : A x B = B x A

Addition : (A + B) + C = A + (B+C)... Multiplication : (AxB) x C…

Addition : A + 0 = A = 0 + A ... Multiplication : A x 1 = A = 1…

Addition : A + B = Real numbers ... Multiplication : A x B = Rea…

Commutative

Addition : A+ B = B + A... Multiplication : A x B = B x A

Associative

Addition : (A + B) + C = A + (B+C)... Multiplication : (AxB) x C…

Properties of the Field

Closure Property of Addition

Commutative Property of Addition

Associative Property of Addition

A set of numbers that exhibit the 11 properties of addition a…

If any two numbers in a set are added together, then the answ…

If a & b are in a set, then a+b=b+a

If a. b, & c are in a set, then (a+b)+c=a+(b+c)

Properties of the Field

A set of numbers that exhibit the 11 properties of addition a…

Closure Property of Addition

If any two numbers in a set are added together, then the answ…

Definition of Subtraction

Definition of Division

Distributive property for subtraction

Multiplication by 0

a - b = a + (-b)

a ÷ b = a/b = a * 1/b , b ≠ 0

a(b - c) = ab - ac

0 * a = 0

Definition of Subtraction

a - b = a + (-b)

Definition of Division

a ÷ b = a/b = a * 1/b , b ≠ 0

addition property

subtraction property

multiplication property

division property

if A=b, then a+c=b+c

if a=b then a-c=b-c

if a=b, then a times c=b times c

if a=b and c doesn't equal 0, then a divided by c= b divided…

addition property

if A=b, then a+c=b+c

subtraction property

if a=b then a-c=b-c

addition property of equal.

subtraction prop of equal.

multiplication prop of equal.

division prop of equal.

if a=b, then a+c=b+c

if a=b, then a-c=b-c

if a=b, then ac=bc

if a=b, then a/c=b/c

addition property of equal.

if a=b, then a+c=b+c

subtraction prop of equal.

if a=b, then a-c=b-c

addition property of equality

subtraction property of equality

multiplication property of equality

division property of equality

if a = b then a + b = b + c

if a = b then a - c = b - c

ac = bc

if a = b then a/c = b/c

addition property of equality

if a = b then a + b = b + c

subtraction property of equality

if a = b then a - c = b - c

closure property of addition

commutative property of addition

associative property of addition

identity property of addition

a + b is a real number

a + b = b + a

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

a + 0 = a

closure property of addition

a + b is a real number

commutative property of addition

a + b = b + a

Closure Property for Addition

Associative Property for Additon

Identity Property for Addition

Closure Property for Multiplication

a+b is a real number

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

There exists an element that 0 is a real number such that for…

ab is a real number.

Closure Property for Addition

a+b is a real number

Associative Property for Additon

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

Closure Properties

Commutative Properties

Associative Properties

Reflexive Property

a+b=real# a-b=real# a*b=real# a/b=real#

Changing order of + and ** a+b=b+a a**b=b*a

Changing order of grouping (a+b)+c=a+(b+c) (ab)c=a(bc)

a=a

Closure Properties

a+b=real# a-b=real# a*b=real# a/b=real#

Commutative Properties

Changing order of + and ** a+b=b+a a**b=b*a

commutative property

associative property

distributive property

identity property

a+b=b+c (addition) or (ab) c = a (bc) (multiplication)

(a+b) + c = a + (b + c) (addition) or (ab)c = a(bc) (multipli…

a (b+c) = ab + bc

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

commutative property

a+b=b+c (addition) or (ab) c = a (bc) (multiplication)

associative property

(a+b) + c = a + (b + c) (addition) or (ab)c = a(bc) (multipli…

Addition Property

Subtraction Property

Multiplication Property

Division Property

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

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

If a = b, then ac = bc

If a = b, and c not = 0, then a/c = b/c

Addition Property

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

Subtraction Property

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

natural

whole

integers

rational

positive, not decimals or fractions... 1,2,3...

Includes zero... 0,1,2,3

can't be fractions/decimals... includes negatives... -2,-1,0,1,2

any number you can write as a fraction... if it is a decimal and…

natural

positive, not decimals or fractions... 1,2,3...

whole

Includes zero... 0,1,2,3