#### Study sets matching "math number properties"

#### Study sets matching "math number properties"

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…

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

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…

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 M…

Associative Property

Distributive Property

Identity Property of Addition

Addition and Multiplication are this: switching the order of…

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

This property of multiplication over addition: multiplication…

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

Commutative Property of Addition and M…

Addition and Multiplication are this: switching the order of…

Associative Property

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

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

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

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,…

Checking if # <100 is prime

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

Perfect Square

Square Root

irrational numbers

rational numbers

A number that is the square of a whole number

a number when multiplied by itself

cannot be written as a fraction, is not a perfect square, doe…

integer, fractions, terminating and repeating decimals

Perfect Square

A number that is the square of a whole number

Square Root

a number when multiplied by itself

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

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

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

Associative Property

Distributive Property

Zero is the additive identity. Any num…

You could switch the order of numbers and the product/sum wou…

You could switch the groupings and the product/sum would be t…

Addition and multiplication together... a(b+c)=a(b) + a(c)

Identity Property (addition)

Commutative Property

You could switch the order of numbers and the product/sum wou…

Associative Property

You could switch the groupings and the product/sum would be t…

Common Factor

Highest Common Factor (HCF) or Greates…

Prime Numbers

Composite Numbers

A number that is a factor of 2 or more other numbers

The largest Common factor of 2 or more numbers

A natural number that has exactly 2 different Factors. (1 and…

A natural number that has more than 2 factors. 1 is not a com…

Common Factor

A number that is a factor of 2 or more other numbers

Highest Common Factor (HCF) or Greates…

The largest Common factor of 2 or more numbers

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…

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

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…

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

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…

Divisibility

Integers... 1) What are integers?... 2) Exa…

Divisibility... 1) If an integer is divi…

Factors

Start

1) Whole numbers. ... 2) -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4,…

1) Divisibility.... 2) Its factors.

Start

Divisibility

Start

Integers... 1) What are integers?... 2) Exa…

1) Whole numbers. ... 2) -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4,…

Additive Identity Property of Addition

Multiplicative Identity Property of Mu…

Additive Inverse

Multiplicative Inverse

Any number added to 0 is itself/x+0=x

Any number times one is itself/x*1=x

Adding the opposite/a+(-a)=0

Multiplying the reciprocal/x*(1/x)=1

Additive Identity Property of Addition

Any number added to 0 is itself/x+0=x

Multiplicative Identity Property of Mu…

Any number times one is itself/x*1=x

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

Undefined

Real

Imaginary

Integer

Almost always means division by zero

A number that has a location on the number line

A number that involves the square root of a negative number

Whole numbers including negative whole numbers and zero

Undefined

Almost always means division by zero

Real

A number that has a location on the number line

commutative property

associative property

identity property

inverse property

order of values does not matter

grouping of values does not matter

the number stays the same

using opposited to "cancel" out a value

commutative property

order of values does not matter

associative property

grouping of values does not matter

How do you know something is divisible…

How do we know if it's divisible by 6?

What is a multiple similar to

What does the multiple of an integer m…

Adding up all the numbers

-divisible by 2 AND 3... -Look to see if the last number is an e…

-factor of... -divisible ... -divisor

-you can add it by the multiple over and over again and creat…

How do you know something is divisible…

Adding up all the numbers

How do we know if it's divisible by 6?

-divisible by 2 AND 3... -Look to see if the last number is an e…

N

Z

Q

Q'

Natural numbers... counting numbers, including zero

Integers... whole numbers that are positive or negative, includ…

Rational numbers... anything that can be written as a fraction,…

Irrational numbers... non-ending decimals, non-repeating decima…

N

Natural numbers... counting numbers, including zero

Z

Integers... whole numbers that are positive or negative, includ…

Real Numbers

Irrational Numbers

Integers

Whole Numbers

Q- terminate or repeat decimal

I- does not repeat or terminate(square roots that aren't perf…

Z- number line

W- 0,1,2,3,...

Real Numbers

Q- terminate or repeat decimal

Irrational Numbers

I- does not repeat or terminate(square roots that aren't perf…

The Reflexive Property of Equality

The Symmetric Property of Equality

The Transitive Property of Equality

The Substitution Property

Any number is equal to itself

Any equality can be reversed

If one number is equal to a second number, and the second num…

For any number a and any number b, if a = b, then b may be su…

The Reflexive Property of Equality

Any number is equal to itself

The Symmetric Property of Equality

Any equality can be reversed

Additive Identity

Multiplicative Identity

Commutative Property of Addition

Distributive Property

The sum of any number and zero will always equal itself.

The product of a number and one will always equal itself.

adding any numbers in any order will still give you the same…

Multiplying the number outside of the parenthesis to the numb…

Additive Identity

The sum of any number and zero will always equal itself.

Multiplicative Identity

The product of a number and one will always equal itself.

Closure Property of Multiplication

Commutative Property of Multiplication

Associative Property of Multiplication

Identity Property of Multiplication

The product of a number (ab) is a unique real number.... Ex: 5(6…

ab = ba... Ex: 5(6) = 6(5)

ab(c) = a(bc)

a x 1 = 1 x a

Closure Property of Multiplication

The product of a number (ab) is a unique real number.... Ex: 5(6…

Commutative Property of Multiplication

ab = ba... Ex: 5(6) = 6(5)

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Identity Property of Addition

Order of the numbers change... ex. 3+7=7+3

Order of the numbers change... ex. 5

**8=8**5The numbers stay in the SAME order but the parentheses move.…

You get what you start with... ex. 5+0=5

Commutative Property of Addition

Order of the numbers change... ex. 3+7=7+3

Commutative Property of Multiplication

Order of the numbers change... ex. 5

**8=8**5Commutative

Associative

Identity

Zero

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

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

Addition:(zero is the identity) a + 0 = 0 + a = a ... Multiplica…

Addition: none... Multiplication: a ⋅ 0 = 0 ⋅ a = 0

Commutative

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

Associative

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

communicative property of addition (or…

communicative property of multiplicati…

associative property of addition (grou…

Associative property of multiplication…

a+b=b+a

a

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

(a

**b) c = a (b**c)communicative property of addition (or…

a+b=b+a

communicative property of multiplicati…

a

**b=b**aReflexive property of equality

Symmetric property of equality

Transitive property of equality

Communitive property of addition

a=a ... A number is equal to itself (missior)... 4=4

If a=b, then b=a... If numbers are equal, the will still be equa…

If a=b and b=c, then a=c... If numbers are equal to the same num…

A+b=b+A... The order in which two numbers are added does not cha…

Reflexive property of equality

a=a ... A number is equal to itself (missior)... 4=4

Symmetric property of equality

If a=b, then b=a... If numbers are equal, the will still be equa…

Commutative Property of Addition

Associative Property of Addition

Identity Property of Addition

Commutative Property of Multiplication

x + y = y + x

x + (y + z) = (x + y) + z

x + 0 = x

xy = yx

Commutative Property of Addition

x + y = y + x

Associative Property of Addition

x + (y + z) = (x + y) + z

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

Integer definition

Divisibility rule - divisible by 3

Divisibility rule - divisible by 4

Divisibility rule - divisible by 5

Positive, negative, 0. All are whole numbers

If sum of integer digits are divisible by the number

If integer is divisible by 2 twice or if last two digits are…

If integer ends in 0 or 5

Integer definition

Positive, negative, 0. All are whole numbers

Divisibility rule - divisible by 3

If sum of integer digits are divisible by the number

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Additive Identity Property

Every number is equal to itself.... Ex: x+4=4+x... -x -x... ________…

If a=b then b=a ... Ex: 10-x+6... - 6 - 6... ______________________…

If a=d and b=c, then a=c... Ex: 4+3 = 7 5+2=7... 4+3=5+2

Any number plus zero, is that same number.... Ex: 4+0=4

Reflexive Property of Equality

Every number is equal to itself.... Ex: x+4=4+x... -x -x... ________…

Symmetric Property of Equality

If a=b then b=a ... Ex: 10-x+6... - 6 - 6... ______________________…

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Identity Property of Addition

when you can switch the numbers and it does not change the sum

when you can switch the numbers and it does not change the pr…

states that the way the numbers are grouped ( were the parent…

it states that when 0 is added to any number the number stays…

Commutative Property of Addition

when you can switch the numbers and it does not change the sum

Commutative Property of Multiplication

when you can switch the numbers and it does not change the pr…

commutative property

associative property

distributive property

additive identity

only multiplication and addition... numbers move ... ex: a x b= b x a

only addition and multiplication... numbers don't move but paren…

a(b+c)=ab+ac... a(b-c)=ab-ac

a+0=a

commutative property

only multiplication and addition... numbers move ... ex: a x b= b x a

associative property

only addition and multiplication... numbers don't move but paren…

Commutative property of addition

Commutative property of multiplication

Associative property of addition

Associative property of multiplication

3+4 = 4+3

3(4) = 4(3)

(3+4)+5 = 3+(4+5)

(3x4)x5 = 3x(4x5)

Commutative property of addition

3+4 = 4+3

Commutative property of multiplication

3(4) = 4(3)