# Study sets matching "algebra mathematical properties"

The commutative property of addition

The commutative property of multiplicat…

The associative property of addition

The associative property of multiplicat…

2+3=5 and 3+2=5/ same numbers different order addition

2x3=6 and 3x2=6/ same numbers different order multiplication

(2+3)+4=2+(3+4)/ same numbers but adding all together in diffe…

2x(3x4)=(2x3)x4/ same numbers but multiplying all together in…

The commutative property of addition

2+3=5 and 3+2=5/ same numbers different order addition

The commutative property of multiplicat…

2x3=6 and 3x2=6/ same numbers different order multiplication

1. Associative Property of Addition

2. Associative Property of Multiplicati…

3. Commutative Property of Addition

4. Commutative Property of Multiplicati…

When three or more numbers are added, the sum is the same rega…

When three or more numbers are multiplied, the product is the…

When two or more numbers are added, the sum is the same regard…

When two numbers are multiplied together, the product is the s…

1. Associative Property of Addition

When three or more numbers are added, the sum is the same rega…

2. Associative Property of Multiplicati…

When three or more numbers are multiplied, the product is the…

1. Associative Property of Addition

2. Associative Property of Multiplicati…

3. Commutative Property of Addition

4. Commutative Property of Multiplicati…

When three or more numbers are added, the sum is the same rega…

When three or more numbers are multiplied, the product is the…

When two or more numbers are added, the sum is the same regard…

When two numbers are multiplied together, the product is the s…

1. Associative Property of Addition

When three or more numbers are added, the sum is the same rega…

2. Associative Property of Multiplicati…

When three or more numbers are multiplied, the product is the…

Associative Property of Addition

Associative Property of Multiplication

Commutative Property of Addition

Commutative Property of Multiplication

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

(a x b) x c= a x (b x c)

a + b = b + a

a x b = b x a

Associative Property of Addition

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

Associative Property of Multiplication

(a x b) x c= a x (b x c)

Additive Identity

Multiplicative Identity

Multiplicative Property Of Zero

Commutative Property of Addition

When 0 is added to any number, the sum is the number.

Any number multiplied by 1, product is the number.

When any number is multiplied by 0, product is 0.

The order in which numbers are added does not change the sum.

Additive Identity

When 0 is added to any number, the sum is the number.

Multiplicative Identity

Any number multiplied by 1, product is the number.

Piece-wise linear functions

Quadratic Function

Exponential function

Commutative Property of Addition

A function composed of linear segments to form a graph.

A function that always results in a U-shaped curve called a pa…

A function whose value is a constant of the argument

The order of the numbers doesn't matter in addition

Piece-wise linear functions

A function composed of linear segments to form a graph.

Quadratic Function

A function that always results in a U-shaped curve called a pa…

Identity property of multiplication

Commutative property of multiplication

Inverse property of multiplication

Reflexive

The product of any number and one is that number ... a x 1 =a

When two numbers are multiplied together, the product is the a…

The multiplicative inverse of a number , a is 1/a so that a x…

The equals sign is like mirror, and the image it "reflects" is…

Identity property of multiplication

The product of any number and one is that number ... a x 1 =a

Commutative property of multiplication

When two numbers are multiplied together, the product is the a…

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Additon

Associative Property of Multiplication

(move; change order)... 2 + 3 + 4 = 4 + 2 +3

(changing order)... 9 x 8 x 7 = 8 x 7 x 9

(changing grouping, move the parenthesis)... 5 + (10 + 15) = 10…

(changing grouping)... 2 (5 x 7) = 7 (2 x 5)

Commutative Property of Addition

(move; change order)... 2 + 3 + 4 = 4 + 2 +3

Commutative Property of Multiplication

(changing order)... 9 x 8 x 7 = 8 x 7 x 9

Commutative Property

Associative Property

Additive Inverse

Additive Identity

abs=b+a a

**b=b**a ... (doesn't work on division nor subtraction si…(a+b)+c=a+(b+c) (ab)c=a(bc)... (doesn't work on division nor sub…

a+(-a)=0

a+0=a

Commutative Property

abs=b+a a

**b=b**a ... (doesn't work on division nor subtraction si…Associative Property

(a+b)+c=a+(b+c) (ab)c=a(bc)... (doesn't work on division nor sub…

Substitution Property of Equality

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

If two quantities are equal, then one quantity can be replaced…

The order in which numbers are added does not change the sum.

The order in which numbers are multiplied does not change the…

The way in which numbers are grouped when added does not chang…

Substitution Property of Equality

If two quantities are equal, then one quantity can be replaced…

Commutative Property of Addition

The order in which numbers are added does not change the sum.

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

Commutative Property of Addition

Commutative Property of Multiplication

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

a + b + c = b + a + c

a x b = b x a

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

(a x b) x c = a x (b x c)

Commutative Property of Addition

a + b + c = b + a + c

Commutative Property of Multiplication

a x b = b x a

Associative Property

Communicative Property

Distributive Property

Additive Identity Property

Changing the grouping of numbers will NOT change the value. Fo…

The order in which addition or multiplication is done does not…

a(b + c) = ab + ac;... a property indicating a special way in whi…

a + 0 = a

Associative Property

Changing the grouping of numbers will NOT change the value. Fo…

Communicative Property

The order in which addition or multiplication is done does not…

Commutative Property

Associative Property

Identity Property of Addition

Identity Property of Multiplication

Changing the order of the numbers in the expression does not c…

Changing the grouping of the numbers in the expression does no…

Adding 0 to a number does not change the value of the number... 2…

Multiplying a number by 1 does not change the value of the num…

Commutative Property

Changing the order of the numbers in the expression does not c…

Associative Property

Changing the grouping of the numbers in the expression does no…

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Additon

Associative Property of Multiplication

(change the order)... 2 + 3 + 4 = 4 + 2 +3

(changing the order)... 9 x 8 x 7 = 8 x 7 x 9

(changing grouping, move the parenthesis)... 5 + (10 + 15) = 10…

(changing grouping, move the parenthesis)... 2 (5 x 7) = 7 (2 x 5)

Commutative Property of Addition

(change the order)... 2 + 3 + 4 = 4 + 2 +3

Commutative Property of Multiplication

(changing the order)... 9 x 8 x 7 = 8 x 7 x 9

Factors

Multiple

Divisibility Rule

GCF

Numbers multiplied to equal a larger number

Number composed of two or more factors

A way of identifying the factors of a multiple

The greatest common factor of two or more multiples

Factors

Numbers multiplied to equal a larger number

Multiple

Number composed of two or more factors

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Additon

Associative Property of Multiplication

(move; change order)... 2 + 3 + 4 = 4 + 2 +3

(changing order)... 9 x 8 x 7 = 8 x 7 x 9

(changing grouping, move the parenthesis)... 5 + (10 + 15) = 10…

(changing grouping)... 2 (5 x 7) = 7 (2 x 5)

Commutative Property of Addition

(move; change order)... 2 + 3 + 4 = 4 + 2 +3

Commutative Property of Multiplication

(changing order)... 9 x 8 x 7 = 8 x 7 x 9

The Distributive Property

Example 2.1.1

Example 2.1.2

Example 2.1.3

The distributive property of mathematics states that when a si…

5(3 + 2)... = (5 x 3) + (5 x 2)... = 15 + 10... = 25

4 (2 + 3 - 1) =... (4 x 2) + (4 x 3) - (4 x 1)... = 8 + 12 - 4... = 16

6 (4 - 2 + 3 - 1)... = (6 x 4) - (6 x 2) + (6 x 3) - (6 x 1)... = 24…

The Distributive Property

The distributive property of mathematics states that when a si…

Example 2.1.1

5(3 + 2)... = (5 x 3) + (5 x 2)... = 15 + 10... = 25

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

States that changing the order in which the numbers are added…

States that changing the order in which numbers are multiplied…

States that changing the grouping of addends does not change t…

States that changing the grouping of factors does not change t…

Commutative Property of Addition

States that changing the order in which the numbers are added…

Commutative Property of Multiplication

States that changing the order in which numbers are multiplied…

Commutative Property of Addition

Identity Property of Addition

Commutative Property of Multiplication

Identity Property of Multiplication

changing the order of the addends does not change the sum

zero added to any number is the number itself

changing the order of the factors doesn't change the product

If one of the factors is 1, the product is the other factor

Commutative Property of Addition

changing the order of the addends does not change the sum

Identity Property of Addition

zero added to any number is the number itself

Identity Property of Addition

Identity Property of Multiplication

Multiplicative Property of Zero

Commutative Property of Addition

Algebriac: a+ 0= a 3 + 0=3... I can add zero to anything without…

Algebriac: a x 1=a 3 x 1=3... I can multiply anything by 1 and n…

Algebreic: a x 0= 0 3 x 0=0... Anything times zero is zero.

Algebriac: a+b is the same as b+a ... This means that you can ad…

Identity Property of Addition

Algebriac: a+ 0= a 3 + 0=3... I can add zero to anything without…

Identity Property of Multiplication

Algebriac: a x 1=a 3 x 1=3... I can multiply anything by 1 and n…

Commutative Property

Associative Property

Distributive Property

parentheses

order property

grouping property

multiplication distributes over addition

the symbols used to show what should be done first

Commutative Property

order property

Associative Property

grouping property

Commutative Property

Associative Property

Distributive Property

parentheses

order property

grouping property

multiplication distributes over addition

the symbols used to show what should be done first

Commutative Property

order property

Associative Property

grouping property

zero property of x

commutative property of addition or mul…

identity property of addition

identity property of multiplication

X x 0 =0... any number multiplied by 0 equals 0

a+b=b+a... Changing the order of the addends does not change the…

The sum of any number and 0(zero) is equal to the initial numb…

The product of any number and 1 is equal to the original numbe…

zero property of x

X x 0 =0... any number multiplied by 0 equals 0

commutative property of addition or mul…

a+b=b+a... Changing the order of the addends does not change the…

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

Add numbers in any order equals the same sum... ***CoMOVEative...…

Multiplying numbers in any order equals the same product... ***Co…

Grouping the numbers differently doesn't change the sum... ***par…

Grouping the numbers differently doesn't change the product... **…

Commutative Property of Addition

Add numbers in any order equals the same sum... ***CoMOVEative...…

Commutative Property of Multiplication

Multiplying numbers in any order equals the same product... ***Co…