Study sets matching "algebra properties"
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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
Addition Property of Equality
Subtraction Property of Equality
Transformation by Substitution
Transformation by Addition
Substitute an equivalent expression for any expression in a gi…
Add the same real number to each side of a given equation.
Addition Property of Equality
Subtraction Property of Equality
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
Associative Property
Distributive Property
Multiplicative Property of Zero
When adding or multiplying order doesn't matter... a+b=b+a ab=ba
When adding or multiplying you can rearrange the parentheses.…
Multiply a single term and two or more terms inside a set of p…
Anything multiplied by zero equals zero.... x*0=0
Commutative Property
When adding or multiplying order doesn't matter... a+b=b+a ab=ba
Associative Property
When adding or multiplying you can rearrange the parentheses.…
Answer: The Distributive Property
Answer: Inverse property of multiplicat…
Answer: Associative property of additio…
Answer: Identity property of multiplica…
Question: What property is shown?
Question: What property is shown?
Question: What property is shown?
Question: What property is shown?
Answer: The Distributive Property
Question: What property is shown?
Answer: Inverse property of multiplicat…
Question: What property is shown?
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
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)
Distributive Property
Addition Property of Equality
Commutative Property
Subtraction Property of Equality
What is this property?
Do you know this property?
How about this property?
Can you name this one?
Distributive Property
What is this property?
Addition Property of Equality
Do you know this property?
factor
factor set
prime number or prime
prime factorization
A number being multiplied to form a product.
The name given to the set over which a number is factored.
An integer greater than 1 that has no positive integral factor…
Expressing a positive integer as a product of primes.
factor
A number being multiplied to form a product.
factor set
The name given to the set over which a number is factored.
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
Addition Property of Equality
Subtraction Property of Equality
Transformation by Substitution
Transformation by Addition
Substitute an equivalent expression for any expression in a gi…
Add the same real number to each side of a given equation.
Addition Property of Equality
Subtraction Property of Equality
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 letter…
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
Symmetric
Transitive property
Addition property of equality
Multiplication property of equality
Shows that numbers and variables can be moved around the equal…
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 equal…
Transitive property
if a=b and b=c, then a=c
Commutative Property of Addition
Commutative Property Of Multiplication
Associative Property of Addition
Additive Identity
4+3 = 3+4 (switch numbers)
5(6) = 6(5) (switch numbers)
6+(5+7) = (6+5)+7 (grouping change)
5+0 = 5
Commutative Property of Addition
4+3 = 3+4 (switch numbers)
Commutative Property Of Multiplication
5(6) = 6(5) (switch numbers)
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)
Commutative Property (definition)
Commutative Property of Addition (algeb…
Commutative Property of Multiplication…
Associative Property (definition)
The order of values does not matter.
a + b = b + a
ab = ba
The grouping of values does not matter.
Commutative Property (definition)
The order of values does not matter.
Commutative Property of Addition (algeb…
a + b = b + a
Reflexive Property
Symmetric Property
Transitive Property
Substitution Property
Any quantity is equal to itself
If one quantity equals a second quantity, then the second quan…
If one quantity equals a second quantity and the second quanti…
A quantity may be substituted for its equal in any expression.
Reflexive Property
Any quantity is equal to itself
Symmetric Property
If one quantity equals a second quantity, then the second quan…
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
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 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 used for the other in any…
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