Study sets matching "algebra mathematical properties"

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Study sets matching "algebra mathematical properties"

Algebra Mathematical Properties
The commutative property of addition
The commutative property of multiplica…
The associative property of addition
The associative property of multiplica…
2+3=5 and 3+2=5/ same numbers different order addition
2x3=6 and 3x2=6/ same numbers different order multiplication
(2+3)+4=2+(3+4)/ same numbers but adding all together in diff…
2x(3x4)=(2x3)x4/ same numbers but multiplying all together in…
The commutative property of addition
2+3=5 and 3+2=5/ same numbers different order addition
The commutative property of multiplica…
2x3=6 and 3x2=6/ same numbers different order multiplication
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)
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.
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
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…
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…
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…
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
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.
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
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…
7 terms
Mathematical Properties
Commutative
Associative
Distributive
Identity
2(5x) = 5x(2)
2 + (5 + 10) = (2 + 5) + 10
2 (x+6) = 2x + 12
5 + 0 = 5
Commutative
2(5x) = 5x(2)
Associative
2 + (5 + 10) = (2 + 5) + 10
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
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
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
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
7 terms
Mathematical Properties
Commutative Property of Addition
Identity Property of Addition
Commutative Property of Multiplication
Identity Property of Multiplication
changing the order of the addends does not change the sum
zero added to any number is the number itself
changing the order of the factors doesn't change the product
If one of the factors is 1, the product is the other factor
Commutative Property of Addition
changing the order of the addends does not change the sum
Identity Property of Addition
zero added to any number is the number itself
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…
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…
Mathematical Properties
Commutative Property
Associative Property
Distributive Property
parentheses
order property
grouping property
multiplication distributes over addition
the symbols used to show what should be done first
Commutative Property
order property
Associative Property
grouping property
5 terms
Mathematical Properties
Commutative Property
Associative Property
Distributive Property
parentheses
order property
grouping property
multiplication distributes over addition
the symbols used to show what should be done first
Commutative Property
order property
Associative Property
grouping property
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…
Mathematical Properties
The Additive Identity Property
The Multiplicative Identity Property
Commutative Property of Addition
Commutative Property of Multiplication
You can add zero to any number and it stays the same. For exa…
You can multiply any number by one and it will stay the same.…
You can swap your numbers around and add them in any order. F…
You can swap you numbers around and multiply them in any orde…
The Additive Identity Property
You can add zero to any number and it stays the same. For exa…
The Multiplicative Identity Property
You can multiply any number by one and it will stay the same.…
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
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…
9 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
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
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)
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
18 terms
Mathematical Properties
-8 x 0 = 0
4( g + 9)= 4g + 36
3 + -3 = 0
h x 1 = h
Zero Property
Distributive Property
Additive Inverse
Multiplicative Identity
-8 x 0 = 0
Zero Property
4( g + 9)= 4g + 36
Distributive Property
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
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
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
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.…
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
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)
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
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
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
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…
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
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
22 terms
Mathematical Properties
commutative property of addition (def)
commutative property of addition (ex)
commutative property of multiplication…
commutative property of multiplication…
commute/change order of through addition
a+b=b+a
commute/ change order of through multiplication
ab=ba
commutative property of addition (def)
commute/change order of through addition
commutative property of addition (ex)
a+b=b+a
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 =…
7 terms
Mathematical Properties
Distributive Property
Zero Property of Multiplication
Identity Property of Multiplication
Commutative Property
2 x 18 = (2 x 10) + (2 x 8)
17 + (4 x 0) = 17 + 0
30 x (6 x 1) = 30 x 6
6 x 7 = 7 x 6
Distributive Property
2 x 18 = (2 x 10) + (2 x 8)
Zero Property of Multiplication
17 + (4 x 0) = 17 + 0
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
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