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Study sets matching "algebra properties real"

15 terms
Properties of Real Numbers- Algebra
COMMUTATIVE Property of Addition ... (com…
COMMUTATIVE Property of Multiplication…
ASSOCIATIVE Property of Addition ... (ass…
ASSOCIATIVE Property of Multiplication…
3 + 5 = 5 +3
9 x 6 = 6 x 9
4 + (6 + 3) = (4 + 6) + 3
7 x (5 x 3) = (7 x 5) x 3
COMMUTATIVE Property of Addition ... (com…
3 + 5 = 5 +3
COMMUTATIVE Property of Multiplication…
9 x 6 = 6 x 9
10 terms
Properties of Real Numbers (Algebra)
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)
(ab)c = a(bc)
Commutative Property of Addition
a + b = b + a
Commutative Property of Multiplication
ab = ba
29 terms
algebra real # properties
additive property of zero
additive property of zero
additive property of zero
commutative property of addition
rule: a+0=0+a=a
means: zero added to the value is that value
example: 9+0=9
rule: a+b=b+a
additive property of zero
rule: a+0=0+a=a
additive property of zero
means: zero added to the value is that value
11 terms
Algebra: properties of real numbers
Communitive property of addition
Communitive property of multiplication
Associative property of addition
Associative property of multiplication
a+b=b+a
ab=ba
(a+b)+c=a+(b+c)
(ab)c=a(bc)
Communitive property of addition
a+b=b+a
Communitive property of multiplication
ab=ba
28 terms
Chapter 2 Algebra Properties of real numbers
real numbers
real number line
origin
negative numbers
the set of numbers that includes rational and irrational numb…
real numbers pictured as points on a line
The point labeled 0.
A number less than 0. On a number line, negative numbers are…
real numbers
the set of numbers that includes rational and irrational numb…
real number line
real numbers pictured as points on a line
14 terms
algebra Properties of real numbers
Natural numbers N
Whole numbers W
Integers Z
Rational numbers Q
counting numbers
0 and counting numers
-3, -2, -1, 0, 1, 2, 3
numbers that can b written as fractions; numbers that either…
Natural numbers N
counting numbers
Whole numbers W
0 and counting numers
16 terms
Algebraic Properties of Real Numbers
Commutative Property
Additive and Multiplicative Identity
Multiplicative Inverse
Additive Inverse
If two terms are added or multiplied, the order is reversible.
Any term added to zero remains unchanged. The Multiplicative…
Stated that when multiplying a term by its reciprocal, the re…
States that when opposites are added, the result is always ze…
Commutative Property
If two terms are added or multiplied, the order is reversible.
Additive and Multiplicative Identity
Any term added to zero remains unchanged. The Multiplicative…
26 terms
Algebra~ Real Numbers, Properties
Natural (Counting) Numbers
Whole Numbers
Integers
Rational Number
1, 2, 3, 4...
0, 1, 2, 3...
...-2, -1, 0, 1, 2...
Any number that terminates or repeats itself; any number that…
Natural (Counting) Numbers
1, 2, 3, 4...
Whole Numbers
0, 1, 2, 3...
15 terms
Algebra 2: Properties of Real
Natural Numbers
Whole Numbers
Integers
Rational
1,2,3,....
0,1,2,3,....
...-3,-2,-1,0,1,2,3,...
anything that can be written as a "fraction" ... Includes repeat…
Natural Numbers
1,2,3,....
Whole Numbers
0,1,2,3,....
8 terms
Algebra-Properties of Real #s
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Addition
Associative Property of Multiplication
a+c=c+a
ac=ca
a+(b+c)= (a+b)+c
a(bc)= (ab)c
Commutative Property of Addition
a+c=c+a
Commutative Property of Multiplication
ac=ca
10 terms
Algebra - Properties of Real Numbers
Commutative Property (addition)
Associative Property (addition)
Identity Property (addition)
Additive Inverse Property
You can switch the order of the numbers... example : 3+6 = 6+3
You can switch the parenthesis... example: (1+2)+5 = 1+ (2+5)
If you add 0 to any number, the number stays the same ... exampl…
When you add a number and its inverse (opposite) the answer i…
Commutative Property (addition)
You can switch the order of the numbers... example : 3+6 = 6+3
Associative Property (addition)
You can switch the parenthesis... example: (1+2)+5 = 1+ (2+5)
11 terms
Algebra Properties of Real Numbers
Closure of Addition
Closure of Multiplication
Commutative of Addition
Commutative of Multiplication
a+b=real number
ab=real number
a+b=b+a
ab=ba
Closure of Addition
a+b=real number
Closure of Multiplication
ab=real number
12 terms
Algebra-properties of real numbers
comm. of add
comm. of mult
assoc. of add
assoc. of mult
flip flop- a+b=b+a
flip flop-ab=ba
rearrange grouping symbols- (a+b)+c=a+(b+c)
rearrange grouping symbols- (ab)c=a(bc)
comm. of add
flip flop- a+b=b+a
comm. of mult
flip flop-ab=ba
10 terms
Algebra 1a The properties of real numbers
Commutative property
Associative property
Distributive property
Additive Identity
2x3 = 3x2... 2+3 = 3+2 , The order of two numbers may be switche…
(a+b) +c = a+(b+c) , Changing the grouping of numbers will NO…
a(b+c) = a(b)+a(c)
Zero added or subtracted to any number = itself... 4+0= 4 ... 4x1= 4
Commutative property
2x3 = 3x2... 2+3 = 3+2 , The order of two numbers may be switche…
Associative property
(a+b) +c = a+(b+c) , Changing the grouping of numbers will NO…
15 terms
algebraic properties of real numbers
commutative property of addition
commutative property of multiplication
additive identity
multiplicative identity
a+b=b+a
a ⋅ b=b ⋅ a
a+0=a
a ⋅ 1=a
commutative property of addition
a+b=b+a
commutative property of multiplication
a ⋅ b=b ⋅ a
12 terms
Algebraic Properties of Real Numbers
Commutative Property
Substitution Property
Symmetric Property
Reflexive Property
a+b=b+a... ab=ba
If a=b, then can be replaced by b and vice versa.
If a=b then b=a
a=a
Commutative Property
a+b=b+a... ab=ba
Substitution Property
If a=b, then can be replaced by b and vice versa.
12 terms
Algebra Unit 1: Properties of Real Numbers
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Addition
Associative Property of Multiplication
Commutative Property of Addition
Commutative Property of Multiplication
21 terms
Algebraic Properties & Real Numbers
rational
irrational
integers
integers examples
can be written as a simple fraction
the ones that don't make sense
no fractions, no decimals
0, +-1, +-2, +-3
rational
can be written as a simple fraction
irrational
the ones that don't make sense
12 terms
Algebraic properties of real numbers
commutative property
additive and multiplicative property o…
multiplicative inverse
additive inverse
addition: a+b=b+a multiplication:(a)(b)=(b)(a)
addition: a+0=a multiplication:(a)(1)=a
(a/b)(b/a)=1
a+(-a)=0
commutative property
addition: a+b=b+a multiplication:(a)(b)=(b)(a)
additive and multiplicative property o…
addition: a+0=a multiplication:(a)(1)=a
12 terms
Algebraic properties of real numbers
commutative property
additive and multiplicative property o…
multiplicative inverse
additive inverse
addition: a+b=b+a multiplication:(a)(b)=(b)(a)
addition: a+0=a multiplication:(a)(1)=a
(a/b)(b/a)=1
a+(-a)=0
commutative property
addition: a+b=b+a multiplication:(a)(b)=(b)(a)
additive and multiplicative property o…
addition: a+0=a multiplication:(a)(1)=a
13 terms
Algebraic Properties of Real Numbers
Commutative Property
Substitution Property
Symmetric Property
Reflexive Property
7 x = x 7
If a = b, then a can be replaced by b
7 = x, x = 7
a = a
Commutative Property
7 x = x 7
Substitution Property
If a = b, then a can be replaced by b
11 terms
Algebraic properties of real numbers
Commutative property of addition.
Commutative property of multiplication
Associative Property of addition
Associative property of multiplication.
A+B= B+A
AB=BA
(6+7)+8=6+(7+8)
(89)7=8(9*7)
Commutative property of addition.
A+B= B+A
Commutative property of multiplication
AB=BA
10 terms
Classification of Real Numbers/Properties of Algebra
Real Numbers
Rational Numbers
Irrational Numbers
Intergers
All rational and irrational numbers
All integers written in fractions... -intergers Ex. 1/2, 7/12, 2…
Any square root that can be simplified... -non terminating, non…
Whole numbers, their opposites and zero... -Ex. -4, -3, -2, -1,…
Real Numbers
All rational and irrational numbers
Rational Numbers
All integers written in fractions... -intergers Ex. 1/2, 7/12, 2…
14 terms
properties of reals (algebra 2)
commutative addition
commutative multiplication
associative addition
associative multiplication
a+b=b+a
ab=ba
(a+b)+c=a+(b+c)
(ab)c=a(bc)
commutative addition
a+b=b+a
commutative multiplication
ab=ba
12 terms
Algebraic Properties of Real Numbers
Commutative Property
Symmetric Property
Substitution Property
Reflexive Property
If two terms are added or multiplied, the order is reversible…
If two terms are equal, it doesn't matter which is stated fir…
You can replace one expression with another that is equal to…
A term is always equal to itself a=a
Commutative Property
If two terms are added or multiplied, the order is reversible…
Symmetric Property
If two terms are equal, it doesn't matter which is stated fir…
9 terms
Algebraic Properties: Properties of Real Numbers
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 is not = to Zero, 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
25 terms
Algebra I Properties of Real Numbers
Whole Number
Integers
Positive Integers
Negative Integers
The numbers 0,1,2,3,4,......
The numbers..., -3, -2, -1, 0, 1, 2, 3,...., consisting of th…
The integers that are greater than 0.
The integers that are less than 0.
Whole Number
The numbers 0,1,2,3,4,......
Integers
The numbers..., -3, -2, -1, 0, 1, 2, 3,...., consisting of th…
11 terms
algebra 1- properties of real numbers
commutative property of addition
commutative property of multiplication
associative property of addition
associative property of multiplication
a + b = b + a... 2 + 3 = 3 + 2
a x b = b x a... 2 x 3 = 3 x 2
(a + b) + c = a + (b + c)... (2 + 3) + 4 = 2 + (3 + 4)
(a x b) x c = a x (b x c)... (2 x 3) x 4 = 2 x (3 x 4)
commutative property of addition
a + b = b + a... 2 + 3 = 3 + 2
commutative property of multiplication
a x b = b x a... 2 x 3 = 3 x 2
11 terms
Algebra 2 Real Number Properties
Commutative (+)
Commutative (x)
Associative (+)
Associative (x)
a + b = b + a
a × b = b × a
(a + b) + c = a + (b + c)
(a × b) × c = a × (b × c)
Commutative (+)
a + b = b + a
Commutative (x)
a × b = b × a
11 terms
Properties of Algebra & Classification of Real Numbers
Distributive Property
Commutative Property
Associative Property
Identity Property
Purpose is to get rid of parentheses
-Only applies to addition and multiplication ... -Order doesn't…
-Only applies to addition and multiplication... -The manner in w…
What you start with you end up with
Distributive Property
Purpose is to get rid of parentheses
Commutative Property
-Only applies to addition and multiplication ... -Order doesn't…
Algebra III - Properties of Real Numbers
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)
(ab)c = a(bc)
Commutative Property of Addition
a + b = b + a
Commutative Property of Multiplication
ab = ba
9 terms
Properties of Real Numbers Algebra 2
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)
(ab)c=a(bc)
Commutative property of addition
a+b=b+a
commutative property of multiplication
ab=ba
11 terms
properties of Algebra and Classifications of Real Numbers
Distributive property
Communative property
Associative property
Identity property
Purpose is to get rid of parenthesis.
Applies to only addition and multiplication.
Applies to only addition and multiplication; the manner in wh…
You end up with what you started with.
Distributive property
Purpose is to get rid of parenthesis.
Communative property
Applies to only addition and multiplication.
13 terms
Algebra II: Properties of Real Numbers
Reflexive property
Symmetric property
Transitive property
Addition property
a=a
a=b thus b=a
a=b, b=c thus a=c
a=b thus a+c=b+c
Reflexive property
a=a
Symmetric property
a=b thus b=a
12 terms
Algebra II Properties of Real Numbers
commutative addition
commutative multiplication
associative addition
associative multiplication
a+b = b+a
a×b=b×a
(a+b)+c=a+(b+c)
(a×b)×c=a×(b×c)
commutative addition
a+b = b+a
commutative multiplication
a×b=b×a
10 terms
Algebra II Properties of Real Numbers
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Addition
Associative Property of Multiplication
Changing the order in addition does not affect the sum ex. a+…
Changing the order when multiplying does not affect the produ…
Changing the grouping when adding does not affect the sum... ex.…
Changing the grouping when multiplying does not affect the pr…
Commutative Property of Addition
Changing the order in addition does not affect the sum ex. a+…
Commutative Property of Multiplication
Changing the order when multiplying does not affect the produ…
11 terms
Algebra 2 Properties of Real Numbers
Closure Property of Addition
Closure Property of Multiplication
Commutative Property of Addition
Commutative Property of Multiplication
a+b is a real number ... ex. 12+13 is a real number
ab is a real number ... ex. 12*13 is a real number
a+b=b+a ... ex. 12+13=13+12
ab=ba ... ex. 1213=1312
Closure Property of Addition
a+b is a real number ... ex. 12+13 is a real number
Closure Property of Multiplication
ab is a real number ... ex. 12*13 is a real number
25 terms
2.algebra: Properties of real numbers
commutative property of addition
commutative property of multiplication
Associative property of addition
Associative property of multiplication
two real numbers can be added in any order ... a + b = b + a
two real numbers can be multiplied in any order ... ab = ba
when three real numbers are added, it does not matter which t…
when three real numbers are multiplied, it does not matter wh…
commutative property of addition
two real numbers can be added in any order ... a + b = b + a
commutative property of multiplication
two real numbers can be multiplied in any order ... ab = ba
11 terms
Properties of Algebra/Classification of Real Numbers
Distributive Property
Commutative Property
Associative Property
Identity Property
-purpose is to get rid of parentheses. ... Ex. 4 (x + 6) = 4x + 24
-order doesnt matter (only applies to multiplication and addi…
-the manner in which terms are grouped doesnt matter. (only a…
-what you start with you end with... Ex. 4 + 0 =4
Distributive Property
-purpose is to get rid of parentheses. ... Ex. 4 (x + 6) = 4x + 24
Commutative Property
-order doesnt matter (only applies to multiplication and addi…
15 terms
Algebra 1A Properties of Real Numbers
Closure Property of Addition
Closure Property of Multiplication
Commutative Property of Addition
Commutative Property of Multiplication
a + b is a unique real number
ab is a unique real number
a + b = b+ a
ab = ba
Closure Property of Addition
a + b is a unique real number
Closure Property of Multiplication
ab is a unique real number
20 terms
Algebra 2- Properties of Real Numbers
natural numbers (N)
whole numbers (W)
integers (Z)
rational numbers(Q)
use to count
natural numbers and zero
natural numbers, their opposites and zero
all numbers that can be written as a fraction, terminating, a…
natural numbers (N)
use to count
whole numbers (W)
natural numbers and zero
10 terms
Classification of Real Numbers/Properties of Algebra
Real Numbers
Rational Numbers
Irrational Numbers
Integers
All irrational and rational numbers
All integers written in fractions... -integers EX. 1/2, 7/12, 2/…
Any square Root that cant be simplified... -non terminating, non…
Whole numbers, their opposites, and zero... EX. -4,-3,-2,-1,0,1,…
Real Numbers
All irrational and rational numbers
Rational Numbers
All integers written in fractions... -integers EX. 1/2, 7/12, 2/…
10 terms
Algebra 2 Real Number Properties
Commutataive
Associative
Identity
Inverse
a+b=b+a
(a+b) + c=a + (b+c)
a+0=a=0+a
a+ (-a)=0=(-a) + a
Commutataive
a+b=b+a
Associative
(a+b) + c=a + (b+c)
11 terms
Algebra Terms (Properties and Real #'s)
associative
commutative
distributive
inverse
groupings
order
distributing
opposites; recipricols
associative
groupings
commutative
order
9 terms
Algebra 2 Properties of Real Numbers
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)
(ab)c = a(bc)
commutative property of addition
a + b = b + a
commutative property of multiplication
ab = ba
11 terms
Algebra 2 Properties of Real Numbers
Closure Property of Addition
Closure Property of Multiplication
Commutative Property of Addition
Commutative Property of Multiplication
a + b is a real number
ab is a real number
a + b = b + a
ab = ba
Closure Property of Addition
a + b is a real number
Closure Property of Multiplication
ab is a real number
10 terms
Algebra 2 Properties of Real Numbers
Communative Property of Addition
Communative Property of Multiplication
Associative Property of Addition
Associative Property of Multiplication
a+b=b+a
aXb=bXa
a+(b+c)=(a+b)+c
aX(bXc)=(aXb)Xc
Communative Property of Addition
a+b=b+a
Communative Property of Multiplication
aXb=bXa
8 terms
Algebra Basic Properties of Real Numbers
closure
commutative
associative
identity
a + b and ab
a + b = b + a and ab = ba
(a + b) + c = a + (b + c) and (ab)c = a(bc)
a + 0 = a and 1a = a
closure
a + b and ab
commutative
a + b = b + a and ab = ba
11 terms
Math Algebra- Properties of Algebra and Classifications of Real Numbers
Distributive Property
Communtative Property
Assotative Property
Identity Property
rule that gets rid of parenthesis
(only applies to multiplication and addition) rule that makes…
(only applies to multiplication and addition) the manner in w…
what you start with... you end up with
Distributive Property
rule that gets rid of parenthesis
Communtative Property
(only applies to multiplication and addition) rule that makes…
32 terms
Algebra II Properties of Real #s
Communtative
Associative
Identity
Inverse
Changing the order of the # will not change the result
Changing the grouping of the #s will not change the result
Zero and one preserves identities under addition or multiplic…
For each real # a, there exist a unique #- a and 1/a
Communtative
Changing the order of the # will not change the result
Associative
Changing the grouping of the #s will not change the result
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