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

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

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

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

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 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…

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…

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

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)

Associative Property

Commutative Property

Identity Property

Inverse Property

Addition: (a + b) + c = a + (b + c)... Multiplication: (ab)c = a(…

Addition: a + b = b + a... Multiplication: ab = ba

Addition: a + 0 = a = 0 + a... Multiplication: a ∙ 1 = a = 1 ∙ a

Addition: a + (−a) = 0 = (−a) + a... Multiplication: a ∙ (a/1) =…

Associative Property

Addition: (a + b) + c = a + (b + c)... Multiplication: (ab)c = a(…

Commutative Property

Addition: a + b = b + a... Multiplication: ab = ba

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

additive and multiplicative property of…

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 of…

addition: a+0=a multiplication:(a)(1)=a

commutative property

additive and multiplicative property of…

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 of…

addition: a+0=a multiplication:(a)(1)=a