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Study sets matching "algebra mathematical properties"

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Study sets matching "algebra mathematical properties"

14 terms
Mathematical Properties Vocabulary - Pre-Algebra
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)
8 terms
Pre-Algebra - Properties of Mathematics
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…
19 terms
Properties Of Mathematics (Algebra 2)
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)
8 terms
Pre-Algebra - Properties of Mathematics
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…
7 terms
Pre-Algebra 07 Mathematical Properties
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.
15 terms
Algebra 2 identify the properties of mathematics
Identity property of multiplication
Commutative property of multiplication
Inverse property of multiplication
Reflexive
The product of any number and one is that number ... a x 1 =a
When two numbers are multiplied together, the product is the…
The multiplicative inverse of a number , a is 1/a so that a x…
The equals sign is like mirror, and the image it "reflects" i…
Identity property of multiplication
The product of any number and one is that number ... a x 1 =a
Commutative property of multiplication
When two numbers are multiplied together, the product is the…
14 terms
Algebra 3 functions and properties of mathematics
Piece-wise linear functions
Quadratic Function
Exponential function
Commutative Property of Addition
A function composed of linear segments to form a graph.
A function that always results in a U-shaped curve called a p…
A function whose value is a constant of the argument
The order of the numbers doesn't matter in addition
Piece-wise linear functions
A function composed of linear segments to form a graph.
Quadratic Function
A function that always results in a U-shaped curve called a p…
12 terms
Mathematical Properties
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Addition
Associative Property of Multiplication
Commutative Property of Addition
Commutative Property of Multiplication
9 terms
Mathematical Properties
Substitution Property of Equality
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Addition
If two quantities are equal, then one quantity can be replace…
The order in which numbers are added does not change the sum.
The order in which numbers are multiplied does not change the…
The way in which numbers are grouped when added does not chan…
Substitution Property of Equality
If two quantities are equal, then one quantity can be replace…
Commutative Property of Addition
The order in which numbers are added does not change the sum.
22 terms
Mathematical Properties
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Additon
Associative Property of Multiplication
(move; change order)... 2 + 3 + 4 = 4 + 2 +3
(changing order)... 9 x 8 x 7 = 8 x 7 x 9
(changing grouping, move the parenthesis)... 5 + (10 + 15) = 10…
(changing grouping)... 2 (5 x 7) = 7 (2 x 5)
Commutative Property of Addition
(move; change order)... 2 + 3 + 4 = 4 + 2 +3
Commutative Property of Multiplication
(changing order)... 9 x 8 x 7 = 8 x 7 x 9
22 terms
Mathematical Properties
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Additon
Associative Property of Multiplication
(move; change order)... 2 + 3 + 4 = 4 + 2 +3
(changing order)... 9 x 8 x 7 = 8 x 7 x 9
(changing grouping, move the parenthesis)... 5 + (10 + 15) = 10…
(changing grouping)... 2 (5 x 7) = 7 (2 x 5)
Commutative Property of Addition
(move; change order)... 2 + 3 + 4 = 4 + 2 +3
Commutative Property of Multiplication
(changing order)... 9 x 8 x 7 = 8 x 7 x 9
Algebra 1 Mathematical Properties and Order of Operations
Commutative Property
Associative Property
Additive Inverse
Additive Identity
abs=b+a ab=ba ... (doesn't work on division nor subtraction s…
(a+b)+c=a+(b+c) (ab)c=a(bc)... (doesn't work on division nor su…
a+(-a)=0
a+0=a
Commutative Property
abs=b+a ab=ba ... (doesn't work on division nor subtraction s…
Associative Property
(a+b)+c=a+(b+c) (ab)c=a(bc)... (doesn't work on division nor su…
28 terms
Mathematical Properties
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
16 terms
Mathematical Properties
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Addition
Associative Property of Multiplication
States that changing the order in which the numbers are added…
States that changing the order in which numbers are multiplie…
States that changing the grouping of addends does not change…
States that changing the grouping of factors does not change…
Commutative Property of Addition
States that changing the order in which the numbers are added…
Commutative Property of Multiplication
States that changing the order in which numbers are multiplie…
9 terms
Mathematical Properties
Associative Property
Communicative Property
Distributive Property
Additive Identity Property
Changing the grouping of numbers will NOT change the value. F…
The order in which addition or multiplication is done does no…
a(b + c) = ab + ac;... a property indicating a special way in wh…
a + 0 = a
Associative Property
Changing the grouping of numbers will NOT change the value. F…
Communicative Property
The order in which addition or multiplication is done does no…
Mathematical Properties
Commutative Property
Associative Property
Identity Property of Addition
Identity Property of Multiplication
Changing the order of the numbers in the expression does not…
Changing the grouping of the numbers in the expression does n…
Adding 0 to a number does not change the value of the number…
Multiplying a number by 1 does not change the value of the nu…
Commutative Property
Changing the order of the numbers in the expression does not…
Associative Property
Changing the grouping of the numbers in the expression does n…
Mathematical Properties
Identity Property of Addition
Identity Property of Multiplication
Multiplicative Property of Zero
Commutative Property of Addition
Algebriac: a+ 0= a 3 + 0=3... I can add zero to anything withou…
Algebriac: a x 1=a 3 x 1=3... I can multiply anything by 1 and…
Algebreic: a x 0= 0 3 x 0=0... Anything times zero is zero.
Algebriac: a+b is the same as b+a ... This means that you can a…
Identity Property of Addition
Algebriac: a+ 0= a 3 + 0=3... I can add zero to anything withou…
Identity Property of Multiplication
Algebriac: a x 1=a 3 x 1=3... I can multiply anything by 1 and…
21 terms
Mathematical Properties
The Distributive Property
Example 2.1.1
Example 2.1.2
Example 2.1.3
The distributive property of mathematics states that when a s…
5(3 + 2)... = (5 x 3) + (5 x 2)... = 15 + 10... = 25
4 (2 + 3 - 1) =... (4 x 2) + (4 x 3) - (4 x 1)... = 8 + 12 - 4... = 16
6 (4 - 2 + 3 - 1)... = (6 x 4) - (6 x 2) + (6 x 3) - (6 x 1)... = 2…
The Distributive Property
The distributive property of mathematics states that when a s…
Example 2.1.1
5(3 + 2)... = (5 x 3) + (5 x 2)... = 15 + 10... = 25
5 terms
Mathematical properties
zero property of x
commutative property of addition or mu…
identity property of addition
identity property of multiplication
X x 0 =0... any number multiplied by 0 equals 0
a+b=b+a... Changing the order of the addends does not change the…
The sum of any number and 0(zero) is equal to the initial num…
The product of any number and 1 is equal to the original numb…
zero property of x
X x 0 =0... any number multiplied by 0 equals 0
commutative property of addition or mu…
a+b=b+a... Changing the order of the addends does not change the…
10 terms
Mathematical Properties
Identity Laws
Reflexive Property
Symmetric Property
Transitive Property
a + 0 = a... a - 0 = a ; a - a = 0... a * 1 = a... a ÷ 1 = a ; a ÷ a = 1
a = a
If a = b, then b = a
If a = b and b = c, then a = c
Identity Laws
a + 0 = a... a - 0 = a ; a - a = 0... a * 1 = a... a ÷ 1 = a ; a ÷ a = 1
Reflexive Property
a = a
16 terms
Algebra & Equations Mathematical Terms
algebraic expression
binomial
cancel
coefficient
a group of terms that are joined by addition or subtraction s…
an algebraic expression consisting of two terms
to simplify a fraction by dividing the numerator and denomina…
the number that multiplies a pronumeral in an algebraic expre…
algebraic expression
a group of terms that are joined by addition or subtraction s…
binomial
an algebraic expression consisting of two terms
10 terms
Mathematical Properties
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Addition
Associative Property of Multiplication
Add numbers in any order equals the same sum... ***CoMOVEative..…
Multiplying numbers in any order equals the same product... ***C…
Grouping the numbers differently doesn't change the sum... ***pa…
Grouping the numbers differently doesn't change the product... *…
Commutative Property of Addition
Add numbers in any order equals the same sum... ***CoMOVEative..…
Commutative Property of Multiplication
Multiplying numbers in any order equals the same product... ***C…
Mathematical Properties
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Additon
Associative Property of Multiplication
(move; change order)... 2 + 3 + 4 = 4 + 2 +3
(changing order)... 9 x 8 x 7 = 8 x 7 x 9
(changing grouping, move the parenthesis)... 5 + (10 + 15) = 10…
(changing grouping)... 2 (5 x 7) = 7 (2 x 5)
Commutative Property of Addition
(move; change order)... 2 + 3 + 4 = 4 + 2 +3
Commutative Property of Multiplication
(changing order)... 9 x 8 x 7 = 8 x 7 x 9
14 terms
Mathematical Properties
Factors
Multiple
Divisibility Rule
GCF
Numbers multiplied to equal a larger number
Number composed of two or more factors
A way of identifying the factors of a multiple
The greatest common factor of two or more multiples
Factors
Numbers multiplied to equal a larger number
Multiple
Number composed of two or more factors
13 terms
Mathematical Properties
Substitution Property
Additive Identity Property
Multiplicative Identity Property
Additive Inverse Property
If a=b, then "a" may be replaced by "b" in an expresion.
a+0=a
a•1=a
a+(-a)=0
Substitution Property
If a=b, then "a" may be replaced by "b" in an expresion.
Additive Identity Property
a+0=a
12 terms
Mathematical Properties
Associative Property of Addition
Associative Property of Multiplication
Commutative Property of Addition
Commutative Property of Multiplication
This property states that when adding, the grouping doesn't m…
This property states that when multiplying, the grouping does…
This property states that when adding, the order doesn't matt…
This property states that when multiplying, the order doesn't…
Associative Property of Addition
This property states that when adding, the grouping doesn't m…
Associative Property of Multiplication
This property states that when multiplying, the grouping does…
9 terms
Mathematical Properties
Additive Identitiy
Multiplacative Identity
Additive Inverse
Multiplicative Inverse
Any number + 0 = the same number
Any number times 1 = the same number
Any number + it's opposite = 0
Any number times it's reciprocal = 1
Additive Identitiy
Any number + 0 = the same number
Multiplacative Identity
Any number times 1 = the same number
13 terms
Mathematical Properties
Additive Identity Property
Multiplicative Identity Property
Additive Inverse Property
Multiplicative Inverse Property
Any number plus zero equals the same number as zero
Any number times one equals the same number
Any number plus it's opposite equals zero
Any number times its reciprocal equals one
Additive Identity Property
Any number plus zero equals the same number as zero
Multiplicative Identity Property
Any number times one equals the same number
8 terms
Mathematical Properties
Distributive Property
Additive Identity
Multiplicative Identity
Additive Inverse
a(b+c)=ab+ac and a(b-c)=ab-ac
a+5=5
5 times 1=5
5+(-5)=0
Distributive Property
a(b+c)=ab+ac and a(b-c)=ab-ac
Additive Identity
a+5=5
6 terms
Mathematical properties
commutative property
associative property
addition property of zero
multiplication property of zero
changing the order of addends or factors does not change the…
changing the grouping of addends or factors does not change t…
the sum of any number and ) is that number ... 18 + 0= 18 or w +…
the product of any number and 0 is 0 ... 9 x 0 = 0 a x 0 = 0
commutative property
changing the order of addends or factors does not change the…
associative property
changing the grouping of addends or factors does not change t…
28 terms
Mathematical Properties
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
20 terms
Mathematical Properties
(3 + 4) + 5 = 3 + (4 + 5)
4 + (-4) = 0
7 x (8 x 1) = (7 x 8) x 1
5(2 + 3a) = (5 x 2) + (5 x 3a)
Associative property of addition
Additive Inverse
Associative property of multiplication
Distributive property
(3 + 4) + 5 = 3 + (4 + 5)
Associative property of addition
4 + (-4) = 0
Additive Inverse
13 terms
Mathematical Properties
Commutative Property of Addition
Commutative Property of Multiplication
Identity Property of Addition
Identity Property of Multiplication
Changing the order of the addends does not change the sum.
Changing the order of the factors does not change the produce
If you add zero to a number, the sum is the same as that numb…
If you multiply a number by one, the product is the same as t…
Commutative Property of Addition
Changing the order of the addends does not change the sum.
Commutative Property of Multiplication
Changing the order of the factors does not change the produce
10 terms
Mathematical Properties
Additive Identity
Additive Inverse
Associative Property of Addition
Commutative Property of Addition
Any number added to zero is the number you started with.... Ex.…
The opposite of the number you started with will equal 0.... Ex.…
Changing the groupings... Ex. 5 + (2 + 8) = (5 + 2 ) + 8
Changing the order of the numbers.... Ex. 8 + 9 + 3 = 3 + 9 + 8
Additive Identity
Any number added to zero is the number you started with.... Ex.…
Additive Inverse
The opposite of the number you started with will equal 0.... Ex.…
27 terms
Mathematical Properties
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
9 terms
Mathematical Properties
Additive Identity
Commutative Property of Addition:
Associative Property of Addition:
Multiplicative Identity:
a + 0 = a... 3 + 0 = 3... 6 + 0 = 6
a + b = b + a... 3 + 6 = 6 + 3... 7 + 2 = 2 + 7
(a + b) + c = a + (b + c)... (3 + 4) + 6 = 3 + (4 + 6)... (5 + 3) +…
a ● 1 = a... 3 ● 1 = 3... 6 ● 1 = 6
Additive Identity
a + 0 = a... 3 + 0 = 3... 6 + 0 = 6
Commutative Property of Addition:
a + b = b + a... 3 + 6 = 6 + 3... 7 + 2 = 2 + 7
10 terms
Mathematical Properties
Additive Identitiy
Additive Inverse ( opposites)
Multiplicative Identity
Multiplicative property of zero
zero is added because you can add it to a number without chan…
3 and -3 because 3+-3=0. equal zeo
multiply by one because you can multiply it by a number and t…
multiply any number by 0 and you get 0
Additive Identitiy
zero is added because you can add it to a number without chan…
Additive Inverse ( opposites)
3 and -3 because 3+-3=0. equal zeo
5 terms
Mathematical Properties
Associative Property
Commutative Property
Identity Property
Distributive Property
4 + (9 + 6) = (4 + 9) + 6
x + 12 = 12 + x
(3 + y) + 0 = 3 + y
q(r + s) = qr + qs
Associative Property
4 + (9 + 6) = (4 + 9) + 6
Commutative Property
x + 12 = 12 + x
6 terms
Mathematical properties
Communicative property
Associated property
Addeitive property
Multiplicative identity
Is the order in which they are added or multipled does not ch…
States that the way in which numbers are grouped when added o…
When 0 is added to any number ,the sum in the number
When any number is multiplied by 1 ,The product is the number
Communicative property
Is the order in which they are added or multipled does not ch…
Associated property
States that the way in which numbers are grouped when added o…
8 terms
Mathematical Properties
Identity Property of Addition
Zero Property of Multiplication
Commutative Property of Addition
Associative Property of Addition
Adding 0 does not change the value of a number.... Examples: 7 +…
Multiplying by 0 results in a product of 0.... Examples: 8 x 0 =…
Changing the order of the addends does not change the sum.... Ex…
Changing the grouping of addends does not change the sum.... Exa…
Identity Property of Addition
Adding 0 does not change the value of a number.... Examples: 7 +…
Zero Property of Multiplication
Multiplying by 0 results in a product of 0.... Examples: 8 x 0 =…
12 terms
Mathematical Properties
Reflexive Property
Identity Property
Distributive Property
Symmetric Property
...
...
...
...
Reflexive Property
...
Identity Property
...
16 terms
Mathematical Properties
Communitive Property of Addition
Associative Property of Addition
Reflexive Property of Equality
Symmetric Property of Equality
a+b=b+a
(a+b)+c = a(b+c)
a+a
a=b b=a
Communitive Property of Addition
a+b=b+a
Associative Property of Addition
(a+b)+c = a(b+c)
Mathematical Properties
Commutative Property of Multiplication
Commutative Property of Addition
Reflexive Property
Symmetric Property
ab=ba
a+b=b+a
a=a
if a=b then b=a
Commutative Property of Multiplication
ab=ba
Commutative Property of Addition
a+b=b+a
12 terms
Mathematics Properties
Commutative property of multiplication
Commutative property of addition
Associative property of multiplication
Identity property of multiplication
3 × 4 = 4 × 3
8 + 2 = 2 + 8
( 6 × 2 ) × 5 = 6 × ( 2 × 5 )
n × 1 = n
Commutative property of multiplication
3 × 4 = 4 × 3
Commutative property of addition
8 + 2 = 2 + 8
14 terms
Mathematical Properties
Commutative Property
Associative Property
Distributive Property
Identity Prop. ADD
X + Y = Y + X ... XY = YX
(X+Y) +Z = X+ (Y + Z)... (XY)Z = X (YZ)
X(Y + Z) = XY + XZ
X + 0 = X
Commutative Property
X + Y = Y + X ... XY = YX
Associative Property
(X+Y) +Z = X+ (Y + Z)... (XY)Z = X (YZ)
12 terms
Mathematical Properties
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
a(bc)=(ab)c
Commutative Property of Addition
a+b=b+a
Commutative Property of Multiplication
ab=ba
36 terms
Mathematical Properties
8 + 9 = 9 + 8
0 + 7 = 7 + 0
6 x (-2) = (-2) x 6
4 x 1 = 1 x 4
Commutative Property of Addition
Commutative Property of Addition
Commutative Property of Multiplication
Commutative Property of Multiplication
8 + 9 = 9 + 8
Commutative Property of Addition
0 + 7 = 7 + 0
Commutative Property of Addition
10 terms
Mathematical Properties
a+b=b+a
a(0)=0
(a+b)+c=a+(b+c)
a(b+c)=ab+ac
Commutative Property of Addition
Zero Product Property
Associative Property of Addition
Distributive Property
a+b=b+a
Commutative Property of Addition
a(0)=0
Zero Product Property
13 terms
Mathematical properties
Substitution Property
Additive Identity property
Multiplicative Identity Property
Additive Inverse Property
If a=b, then "a" may be replaced by "b" in any expression.
A+0=A
A*1= A... 1*A=A
A+(-A)= 0
Substitution Property
If a=b, then "a" may be replaced by "b" in any expression.
Additive Identity property
A+0=A
14 terms
mathematical properties
additive identity property
multiplicative identity property
additive inverse property
multiplicative inverse property
a+0 = 0+a = a
a1 = 1a = a
a+ (-a) = 0... (-a) +a = 0
a/b * b/a = 1
additive identity property
a+0 = 0+a = a
multiplicative identity property
a1 = 1a = a
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