# 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

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…

Common Factor

Highest Common Factor (HCF) or Greatest…

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 comp…

Common Factor

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

Highest Common Factor (HCF) or Greatest…

The largest Common factor of 2 or more numbers

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 pro…

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

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 pro…

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

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

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…

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

undefined

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…

undefined

when something is divided by 0

real number

number that has a location on a number line

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…

Additive Identity Property of Addition

Multiplicative Identity Property of Mul…

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 Mul…

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

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

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