Study sets matching "algebra 2 number properties"

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Study sets matching "algebra 2 number properties"

23 terms
Algebra 2 - Number Properties
What is the Closure Property of Additi…
What is the Commutative Property of Ad…
What is the Associative Property of Ad…
What is the Identity Property of Addit…
a+b is a real number... Ex: 3+5 is a real number
a+b=b+a... Ex: 1+2=2+1
(a+b)+c=a+(b+c)... Ex:1+(2+3)=(1+2)+3
a+0=a... Ex:10+0=10
What is the Closure Property of Additi…
a+b is a real number... Ex: 3+5 is a real number
What is the Commutative Property of Ad…
a+b=b+a... Ex: 1+2=2+1
6 terms
Algebra 2 - Properties of Numbers
Commutative - Addition
Commutative - Multiplications
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 - Multiplications
ab=ba
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
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)
Algebra 2 Number Systems and Properties
Natural Numbers S
Natural Numbers E
Integers S
Integers E
N
"counting numbers" {1,2,3...}
Z
...-2,-1,0,1,2,...
Natural Numbers S
N
Natural Numbers E
"counting numbers" {1,2,3...}
Algebra 2 Properties and Number Classification
Commutative prop. of addition
Commutative prop. of multiplication
Associative prop. of addition
Associative prop. of multiplication
a+b= b+a
ab=ba
(a+b) + c = a+ (b+c)
(ab)c= a(bc)
Commutative prop. of addition
a+b= b+a
Commutative prop. of multiplication
ab=ba
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
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
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
Number Properties - Algebra 1
a + (b + 6) = (a + b) + 6
a + 6 = 6 + a
0 + a = a
a + (-a) = 0
associative property of addition
commutative property of addition
additive identity
additive inverse
a + (b + 6) = (a + b) + 6
associative property of addition
a + 6 = 6 + a
commutative property of addition
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
5 terms
Properties of Real Numbers Algebra 2
Natural Numbers
Whole Numbers
Intergers
Rational Numbers
1,2,3,4,.... doesnt include zero
0,1,2,3,4,... includes zero
....-2,-1,0,1,2 includes negative numbers
can be written as a fraction using Intergers
Natural Numbers
1,2,3,4,.... doesnt include zero
Whole Numbers
0,1,2,3,4,... includes zero
12 terms
Algebra 2 Set of Numbers and Properties
Real Numbers include..
Rational Numbers
Irrational Numbers
Integers
Rational, integers, whole, and natural
Can be written as a fraction (quotient of integers)... Can be RE…
NONTERMINATING or NON-REPEATING decimals ... Square roots of NON…
Negative numbers , 0 , and positive numbers
Real Numbers include..
Rational, integers, whole, and natural
Rational Numbers
Can be written as a fraction (quotient of integers)... Can be RE…
Algebra 2 Properties of real numbers
2+5=5+2
6•2=2•6
(A+B)+C=A+(B+C)
(A•B)•C=A(B•C)
Commutative property of addition
Commutative property of multiplication
Associative property of addition
Associative property of multiplication
2+5=5+2
Commutative property of addition
6•2=2•6
Commutative property of multiplication
Algebra 2 Properties of Real Numbers
commutative property of addition and m…
associative property of addition and m…
distributive property
identity property of addition and mult…
a+b=b+a
(a+b)+c=a+(b+c)
a(b+c)=ab+ac
a+0=a
commutative property of addition and m…
a+b=b+a
associative property of addition and m…
(a+b)+c=a+(b+c)
ALGEBRA 2- Properties of real numbers
Commutative +
Commutative ×
Associative property +
Associate property ×
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 ×
a×b=b×a
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
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
7 terms
algebra 2 properties of real numbers
closure
commutative
associative
identity
5+2 = real number or 5x2= real number
3+4=4+3 3x4=4x3
(1+2)+3= 1+(2+3)
5+0 or 1x5..... whatever makes number stay the same
closure
5+2 = real number or 5x2= real number
commutative
3+4=4+3 3x4=4x3
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
Properties of Numbers (Algebra 1)
Reflexive Property
Symmetric Property
Transitive Property
Substitution Property
Any quantity is equal to itself
If one quantity equals a second quantity, then the second qua…
If one quantity equals a second quantity and the second quant…
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 qua…
10 terms
Algebra 2 Properties of Real Numbers
commutative property of addition
commutative property of multiplication
associative property of addition
associative prop of multiplication
for all real #'s a+b, a+b=b+a
ab=ba
(a+b)+c=a(b+c)
(ab)c=a(bc)
commutative property of addition
for all real #'s a+b, a+b=b+a
commutative property of multiplication
ab=ba
Algebra 2 properties of real numbers
Commutative property of addition
Commutative property of mult.
Associative property of Mult.
Associative property of addition
A+B=B+A
AxB=BxA
( ab)c = a(bc)
( a+b) + c = a + ( b + c)
Commutative property of addition
A+B=B+A
Commutative property of mult.
AxB=BxA
Algebra 2- Chapter 1- Properties of real numbers
natural numbers and whole numbers
integers
rational numbers
irrational numbers
all numbers of the form of a/b where a and b are integers
numbers that are no repeating
natural numbers and whole numbers
integers
5 terms
Properties of Real Numbers- Algebra 2
natural
whole
integer
rational
1,2,3,...
0,1,2,3,...
-3,-2,-1,0,1,2,...
a/b (a and b are integers), 4/1, 3/4, -7.5, 0.25, repeating d…
natural
1,2,3,...
whole
0,1,2,3,...
Algebra - Properties of Numbers
Additive Identity
Additive Inverse
Multiplicative Identity
Multiplicative Property of 0
For any number a, a + 0 = a.
For any number a, a + (-a) = 0.
For any number a, a • 1 = a.
For any number a, a • 0 = 0.
Additive Identity
For any number a, a + 0 = a.
Additive Inverse
For any number a, a + (-a) = 0.
5 terms
Algebra - Properties of Numbers
Commutative Property
Property
Associative Property
Simplify
The order the numbers are added does not change the sum(+) or…
A rule about an operation on numbers
The way in which numbers are grouped does not changed the sum…
To simplify a variable expression means to combine its like t…
Commutative Property
The order the numbers are added does not change the sum(+) or…
Property
A rule about an operation on numbers
Algebra Chapter 2: Properties of Real Numbers
real numbers
integers
absolute value
counterexample
the set of all rational and irrational numbers
whole numbers and their opposites
The distance a number is from zero on a number line
an example that proves a statement false
real numbers
the set of all rational and irrational numbers
integers
whole numbers and their opposites
Properties of Algebra and Number Classifications
Distributive Property
Commutative Property
Associative Property
Identity Property
the purpose is to get rid of parentheses
only applies to addition and multiplication, order doesn't ma…
only applies to addition and multiplication, the manner in wh…
What you start with, you end up with
Distributive Property
the purpose is to get rid of parentheses
Commutative Property
only applies to addition and multiplication, order doesn't ma…
15 terms
Algebra - Ch. 2 Properties of Real Numbers
whole numbers
integers
rational number
absolute value
0, 1, 2, 3,....
-3, -2, -1, 0, 2, 3,....
a number that can be written as a/b where a and b are integer…
distance between a and 0 on a number line; |a|; always positi…
whole numbers
0, 1, 2, 3,....
integers
-3, -2, -1, 0, 2, 3,....
6 terms
Algebra II - Number Properties
Communitive
Associative
Identity
Inverse
a+b=b+a / axb=bxa
(a+b)+c=a+(b+c) & x
a+0=a=0+a / ax1=a=1xa
a+(-a)+0=(-a)+a / ax1/2=1 1/2xa a not 0
Communitive
a+b=b+a / axb=bxa
Associative
(a+b)+c=a+(b+c) & x
11 terms
Algebra 2 -- Quiz 1 Properties of Real Numbers
a+b is real
ab is real
a+b = b+a
ab = ba
(addition) closure
(multiplication) closure
(addition) commutative
(multiplication) commutative
a+b is real
(addition) closure
ab is real
(multiplication) closure
18 terms
Algebra 2: 1-2 Properties and Numbers
natural number (ex.)
whole number (ex.)
integers (ex.)
rational numbers (ex.)
1,2,3... (NOT ZERO)
0,1,2,3...
...-1, 0, 1, 2, 3...
...-1/2, 0.222, 1, 2, 2/3, 5/4...
natural number (ex.)
1,2,3... (NOT ZERO)
whole number (ex.)
0,1,2,3...
14 terms
Advanced Algebra 2: Real Numbers & Properties of Real Numbers
Natural Numbers
Whole Numbers
Integers
Rational Numbers
The set of numbers 1, 2, 3, 4, ... Also called counting numbe…
Natural numbers ( counting numbers) and zero; 0, 1, 2, 3...
whole numbers and their opposites
A number that can be written as a ratio [in the form a/b with…
Natural Numbers
The set of numbers 1, 2, 3, 4, ... Also called counting numbe…
Whole Numbers
Natural numbers ( counting numbers) and zero; 0, 1, 2, 3...
12 terms
Algebra 1 properties of numbers
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 quant…
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…
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
16 terms
Algebra 2 Honors Properties of real numbers
Natural numbers
whole numbers
integers
Rational
N; 1,2,3,4...
Q; 0,1,2,3,4...
Z; ...-2, -1, 0, 1, 2...
Q; .25, -7/8, 2, .33333333333333333333
Natural numbers
N; 1,2,3,4...
whole numbers
Q; 0,1,2,3,4...
13 terms
Algebra 2/ Trig Properties of Real numbers
closure
commutative
associative
indentity
a set of real numbers is closed under addition/multiplication…
change of order
grouping changes
zero for additon, 1 for multiplication
closure
a set of real numbers is closed under addition/multiplication…
commutative
change of order
Algebra Number Properties
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Addition
Associative Property of Multiplication
Order Changing ... ex: 3+2=2+3
Order Changing... ex: 6x5=5x6
Grouping can Change, but numbers can't move. ... ex: 3(15+50)=(…
Grouping changes, but numbers don't move. ... ex: 6(30x3)=(6x30)3
Commutative Property of Addition
Order Changing ... ex: 3+2=2+3
Commutative Property of Multiplication
Order Changing... ex: 6x5=5x6
algebra 2 honors ch 1 numbers and properties
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
Algebra || : Real Number Properties
Communtative
Associative
Identity
Inverse
a+b = b+a
(a+b)+c = a+(b+c)
a+0 = a = 0+a
a+(-a) = 0 = (-a)+a
Communtative
a+b = b+a
Associative
(a+b)+c = a+(b+c)
Algebra Number Properties
commutative property of addition
commutative property of multiplication
Associative property of addition
associative property of multiplication
a+b=b+a ... 3+2=2+3
ab=ba ... (3) (2)= (2)(3)
(a+b) +c= a+ (b+c) ... (1+2)+3= 1+(2+3)
(ab)c = a(bc) ... (12)3= 1(23)
commutative property of addition
a+b=b+a ... 3+2=2+3
commutative property of multiplication
ab=ba ... (3) (2)= (2)(3)
Properties of Real Number- Mrs. Childress algebra 2
closure property
Commutative property
Associative property
Identity property
If A and B are real numbers then A+B or A x B is a unique rea…
If A and B are real numbers, then A+B=B+A ... *order changes... ie.…
(A+B) +C= A+ (B+C)... (A x B) x C = A x (B x C) ... *grouping chang…
A+0=9... A(1)+9... ie. -64+0= -64... 17 x 1= 17
closure property
If A and B are real numbers then A+B or A x B is a unique rea…
Commutative property
If A and B are real numbers, then A+B=B+A ... *order changes... ie.…
32 terms
Algebra Topic 2 - Algebraic Properties
Absolute Value
Algebraic Expression
Associative Property
Base
The distance from zero to any number on the number line. Exam…
An expression consisting of one or more numbers and variables…
Property Example: (a + b) + c = a + (b + c); (ab)c = a(bc)
In an expression of the form x^n, it is the "x"
Absolute Value
The distance from zero to any number on the number line. Exam…
Algebraic Expression
An expression consisting of one or more numbers and variables…
Pre-Ap Algebra 2 Properties of Real Numbers
Commuative
Associative
Identity
Inverse
7+3=3+7 12x2=2x12 order changes
(1+1)+3=1+(1+3) (11)6=1(16) parenthesis moves
-10+0=-10 5*1=5 original number doesn't change
1/2*2=1 50(1/50)=1 opposite
Commuative
7+3=3+7 12x2=2x12 order changes
Associative
(1+1)+3=1+(1+3) (11)6=1(16) parenthesis moves
2.6 Algebraic Proofs: Properties of Real Number
Reflexive Property
Substitution Property
Subtraction Property
Multiplication Property
a = a
If a = b, then a may be replaced by b in any equation or expr…
If a = b, then a - c = b - c
If a = b, then ac = bc
Reflexive Property
a = a
Substitution Property
If a = b, then a may be replaced by b in any equation or expr…
Pre Algebra Pd. 2- Properties of Real Numbers
Commutative Property of +... CO in commut…
Commutative Property of +... CO in commut…
Commutative Property of x... CO in commut…
Commutative Property of x... CO in commut…
a + b = b + a or 3 +5 = 5 + 3
(a + b) + c = c + (a + b)
a x b = b x a
(ab)c = c(ab)
Commutative Property of +... CO in commut…
a + b = b + a or 3 +5 = 5 + 3
Commutative Property of +... CO in commut…
(a + b) + c = c + (a + b)
12 terms
Algebra 2 H Properties and Classifications of Numbers
Real Number (R)
Rational Number (Q)
Irrational Number (I)
Integers (Z)
Any type of number
Can be expressed as a ratio; terminating decimal, or repeatin…
Is a non terminating decimal, or does not repeat; 3.14 or a s…
Any positive or negative number (as long as it isn't a decimal)
Real Number (R)
Any type of number
Rational Number (Q)
Can be expressed as a ratio; terminating decimal, or repeatin…
20 terms
Algebra number system/properties
order doesn't matter
a+b=b+a
grouping doesn't matter
a+(b+c)=(a+b)+c
commutative property
commutative property
associative property
associative property
order doesn't matter
commutative property
a+b=b+a
commutative property
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