# Study sets matching "math number properties"

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inverse property of addition

commutative property of addition

associative property of addition

identity property of addition

add the opposite sign and you get zero

the order is switched

order must stay the same, parentheses move

add zero to keep the number the same

inverse property of addition

add the opposite sign and you get zero

commutative property of addition

the order is switched

Commutative Property of Addition and Mu…

Associative Property

Distributive Property

Identity Property of Addition

Addition and Multiplication are this: switching the order of t…

Addition and multiplication are this: the order that the numbe…

This property of multiplication over addition: multiplication…

adding 0 to a number leaves it unchanged. We call 0 the additi…

Commutative Property of Addition and Mu…

Addition and Multiplication are this: switching the order of t…

Associative Property

Addition and multiplication are this: the order that the numbe…

Prime numbers

Checking if # <100 is prime

ab < 0 and bc > 0

square root of n^2

factors of itself and 1 (one is NOT prime #)... 2 ,3, 5, 7, 11, 1…

1. other than 2, all other even #s ruled out... 2. see if divisib…

a & b have different signs ... b & c have the same sign ... Therefor…

n or -n *same for any even root, undefined if x is negative

Prime numbers

factors of itself and 1 (one is NOT prime #)... 2 ,3, 5, 7, 11, 1…

Checking if # <100 is prime

1. other than 2, all other even #s ruled out... 2. see if divisib…

Additive Identity

Multiplicative Identity

Commutative Property of Addition

Commutative Property of Multiplication

A number plus zero equals that number... a + 0 = 0

A number times one equals that number... a x 1 = a

Sum remains the same when order is changed around... a + b = b + a

Product remains the same when order is changed around... a x b =…

Additive Identity

A number plus zero equals that number... a + 0 = 0

Multiplicative Identity

A number times one equals that number... a x 1 = a

Commutative Property of Addition Def.

Commutative Property of Addition Ex.

Commutative Property of Multiplication…

Commutative Property of Multiplication…

The order of addition does NOT matter

123 + 35 = 35 + 123

The order of multiplication does NOT matter

30 x 234 = 234 x 30

Commutative Property of Addition Def.

The order of addition does NOT matter

Commutative Property of Addition Ex.

123 + 35 = 35 + 123

inverse property of addition

commutative property of addition

associative property of addition

identity property of addition

the sum of a number and its opposite is 0

the ORDER of the addends (numbers being added together) does n…

the grouping of addends using parenthesis doesn't affect their…

the sum of any number and zero is the original number

inverse property of addition

the sum of a number and its opposite is 0

commutative property of addition

the ORDER of the addends (numbers being added together) does n…

Real numbers

Imaginary numbers

Rational numbers

irrational numbers

Numbers we use in middle school math

Numbers that we use in high school math

Numbers that can be converted into fractions

Numbers that can't be converted into fractions

Real numbers

Numbers we use in middle school math

Imaginary numbers

Numbers that we use in high school math

commutative property

associative property

identity property

inverse property

order of values does not matter

grouping of values does not matter

stays the same

using opposites to "cancel" a value

commutative property

order of values does not matter

associative property

grouping of values does not matter

Commutative Property

Commutative Property

Associative Property

Associative Property

When adding or multiplying, the order of the numbers does NOT…

A+B = B+A, or AxB = BxB

When adding or multiplying, the grouping of the parenthesis do…

(A+B) + C = A + (B+C)

Commutative Property

When adding or multiplying, the order of the numbers does NOT…

Commutative Property

A+B = B+A, or AxB = BxB

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

The ORDER of addition does not change the sum

The ORDER of multiplication does not change the product

The GROUPING of numbers when adding does not change the sum

The GROUPING of numbers when multiplying does not change the p…

Commutative Property of Addition

The ORDER of addition does not change the sum

Commutative Property of Multiplication

The ORDER of multiplication does not change the product

Additive Identity Property of Addition

Multiplicative Identity Property of Mul…

Additive Inverses

Multiplicative Inverses

x+0=x... 3+0=3 ... Key Word- Same

x*1=x... 3*1=3... Key Word- Same

x+-x=0... 3+(-3)=0... Key Words- Opposite/Sum Is 0

x*1/x=1... 3*1/3=1... Key Words- Opposite/Product Is 1

Additive Identity Property of Addition

x+0=x... 3+0=3 ... Key Word- Same

Multiplicative Identity Property of Mul…

x*1=x... 3*1=3... Key Word- Same

Integer/Noninteger

rational

irrational

adding/subtracting signed numbers

whole number and include negative whole numbers and zero

number that can be expressed as a ratio of two integers

real numbers they have locations on the number line

ignore the signs and find the positive difference between the…

Integer/Noninteger

whole number and include negative whole numbers and zero

rational

number that can be expressed as a ratio of two integers

Closure Property

Commutative Property of Addition/Multip…

Associative Property of Addition/Multip…

Reflexive Property of Equality

there is only one answer to a sum or product (a + b = a unique…

changing the order of the numbers does not change the sum or p…

changing the grouping symbols does not change the sum or produ…

a=a

Closure Property

there is only one answer to a sum or product (a + b = a unique…

Commutative Property of Addition/Multip…

changing the order of the numbers does not change the sum or p…

additive inverse property

Identity property of addition

Associative property of addition

Commutative property of addition

Says that when you add a number and its opposite the result is…

says that no matter what number you have if you add a 0 to it,…

says that when you group any 3 numbers you can group the numbe…

says if you are adding two or more numbers you can switch the…

additive inverse property

Says that when you add a number and its opposite the result is…

Identity property of addition

says that no matter what number you have if you add a 0 to it,…

a + b = b + a

ab = ba

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

a(bc) = (ab)c

Commutative Property of Addition

Commutative Property of Multiplication

The Associative Property of Addition

The associative property of Multiplication

a + b = b + a

Commutative Property of Addition

ab = ba

Commutative Property of Multiplication

Commutative property of Addition

Commutative property of Addition (2nd)

Commutative property of Multiplication

Commutative property of Multiplication…

a+b=b+a

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

a x b=b x a

(ab)c=c(ab)

Commutative property of Addition

a+b=b+a

Commutative property of Addition (2nd)

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

reflexive property

symmetric property

transitive property

substitution

same on both sides of the equal sign ... example- ... a=a ... x+3= x+3

equal distance from equal sign ... example- ... x+2= 2+x

if a=b and b=c then a=c... example-... if 6+9= 3+12= 15 then 6+9=15

evaluate #x if n=x... example- ... 4(6)= 24

reflexive property

same on both sides of the equal sign ... example- ... a=a ... x+3= x+3

symmetric property

equal distance from equal sign ... example- ... x+2= 2+x

Associative Properties

Commutative Properties

Expanded Form

Expression

The Associative Property of Addition states that changing the…

The Commutative Property of Addition states that changing the…

The expanded form of a number is the sum that shows the place…

An expression is a mathematical phrase containing numbers and…

Associative Properties

The Associative Property of Addition states that changing the…

Commutative Properties

The Commutative Property of Addition states that changing the…

6(2x+5)-x... 6(2x)-6(5)-x

12x+30-x... 12x+30+(-x)

2a+3b+(-2a)... 2a+(-2a)+3b

3+5x+8c... [3+5x]+8c

Distributive property

Add the opposite

Commutative property of addition

Associative property of addition

6(2x+5)-x... 6(2x)-6(5)-x

Distributive property

12x+30-x... 12x+30+(-x)

Add the opposite

Commutative Property

Associative Property

Identity Property

Inverse Property

You can add or multiply in any order

When you add or multiply, you can group the numbers together i…

The sum of 0 and any number is the number. The product of 1 an…

When a number is combined with its inverse, it is equal to its…

Commutative Property

You can add or multiply in any order

Associative Property

When you add or multiply, you can group the numbers together i…

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real number

imaginary number

integer

when something is divided by 0

number that has a location on a number line

number that involves the square root of a negative number

whole numbers (no decimals, fractions, etc)... includes neg numbe…

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when something is divided by 0

real number

number that has a location on a number line