# Study sets matching "algebra 2 number properties"

Study sets

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What is the Closure Property of Additio…

What is the Commutative Property of Add…

What is the Associative Property of Add…

What is the Identity Property of Additi…

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 Additio…

a+b is a real number... Ex: 3+5 is a real number

What is the Commutative Property of Add…

a+b=b+a... Ex: 1+2=2+1

Distributive Property

Commutative Property of Addition

Associative Property of Addition

Identity (Mutliplicitive, Additive)

3 • (4 + 5) = 3 • 4 + 3 • 5

3 + 4 = 4 + 3

3 + (4 + 5) = (3 + 4) + 5

3 + (4 + 5) = (3 + 4) + 5

Distributive Property

3 • (4 + 5) = 3 • 4 + 3 • 5

Commutative Property of Addition

3 + 4 = 4 + 3

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, an…

natural numbers (N)

use to count

whole numbers (W)

natural numbers and zero

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. 12

**13=13**12Closure 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

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 tw…

when three real numbers are multiplied, it does not matter whi…

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

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

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

Real Numbers include..

Rational Numbers

Irrational Numbers

Integers

Rational, integers, whole, and natural

Can be written as a fraction (quotient of integers)... Can be REP…

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 REP…

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

commutative property of addition and mu…

associative property of addition and mu…

distributive property

identity property of addition and multi…

a+b=b+a

(a+b)+c=a+(b+c)

a(b+c)=ab+ac

a+0=a

commutative property of addition and mu…

a+b=b+a

associative property of addition and mu…

(a+b)+c=a+(b+c)

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

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