#### Study sets matching "algebra 1a properties real"

#### Study sets matching "algebra 1a properties real"

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…

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

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

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

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

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

Commutative Property of Multiplication

Commutative Property of Addition

Associative Property of Multiplication

Associative Property of Addition

3 x 2 = 2 x 3

5 + 4 = 4 + 5

(7 x 2) x 6 = 7 x (2 x 6)

(8 + 7) + 1 = 8 + (7 + 1)

Commutative Property of Multiplication

3 x 2 = 2 x 3

Commutative Property of Addition

5 + 4 = 4 + 5

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

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…

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…

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)

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.

Commutative property of addition.

Commutative property of multiplication

Associative Property of addition

Associative property of multiplication.

A+B= B+A

A

**B=B**A(6+7)+8=6+(7+8)

(8

**9)**7=8(9*7)Commutative property of addition.

A+B= B+A

Commutative property of multiplication

A

**B=B**ACommutative 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…

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

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

The order in which you add two numbers does not change their…

The order in which you multiply two numbers does not change t…

The way you group three numbers in a sum does not change the…

The way you group three numbers in a product does not change…

Commutative Property of Addition

The order in which you add two numbers does not change their…

Commutative Property of Multiplication

The order in which you multiply two numbers does not change t…

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 a

**c=b**cif 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

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

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

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…

What kind of #s are a,b, and c?

Algebraic definition of Closure

Closure

Algebraic definition Commutative

They are real numbers.

a+b and ab are real numbers

If you add or multiply real numbers the answer is also a real…

a+b = b+a, ab=ba

What kind of #s are a,b, and c?

They are real numbers.

Algebraic definition of Closure

a+b and ab are 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…

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/…

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

Real property

Improvements

Bundle of rights

Appurtenance

Land plus improvements that are attached to the land

Anything that is added to the land that increases the value i…

There are multiple legal rights of ownership so these are ref…

Rights and benefits and improvements that run with the land a…

Real property

Land plus improvements that are attached to the land

Improvements

Anything that is added to the land that increases the value i…

Closure property

Commutative property (switch numbers)

Associative property (move parentheses)

Identity property (mirror)

Addition: a+b is a unique real number--- 3+5=8... Multiplication…

Addition: a+b=b+a---(-3)(-5)=(-5)(-3)... Multiplication: ab=ab -…

Addition: (a+b)+c=a+(b+c)... ---(4+2)+1=4+(2+1)... Multiplication:…

Addition: a+0=a--- 6+0=6... Multiplication: (a)(1)=a--- (-7)(1)=…

Closure property

Addition: a+b is a unique real number--- 3+5=8... Multiplication…

Commutative property (switch numbers)

Addition: a+b=b+a---(-3)(-5)=(-5)(-3)... Multiplication: ab=ab -…

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…

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.

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

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…