#### 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 switched…

(a+b) +c = a+(b+c) , Changing the grouping of numbers will NOT…

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 switched…

Associative property

(a+b) +c = a+(b+c) , Changing the grouping of numbers will NOT…

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 ... (comm…

COMMUTATIVE Property of Multiplication…

ASSOCIATIVE Property of Addition ... (asso…

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 ... (comm…

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

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 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

real numbers

real number line

origin

negative numbers

the set of numbers that includes rational and irrational numbe…

real numbers pictured as points on a line

The point labeled 0.

A number less than 0. On a number line, negative numbers are l…

real numbers

the set of numbers that includes rational and irrational numbe…

real number line

real numbers pictured as points on a line

COMMUTATIVE Property of Addition ... (comm…

COMMUTATIVE Property of Multiplication…

ASSOCIATIVE Property of Addition ... (asso…

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 ... (comm…

3 + 5 = 5 +3

COMMUTATIVE Property of Multiplication…

9 x 6 = 6 x 9

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 P…

Stated that when multiplying a term by its reciprocal, the res…

States that when opposites are added, the result is always zer…

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 P…

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 r…

Whole numbers, their opposites and zero... -Ex. -4, -3, -2, -1, 0…

Real Numbers

All rational and irrational numbers

Rational Numbers

All integers written in fractions... -intergers Ex. 1/2, 7/12, 2/…

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 s…

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

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

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

Commutative Property of Addition

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

Commutative Property of Multiplication

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

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

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 ... example…

When you add a number and its inverse (opposite) the answer is…

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)