#### Study sets matching "real number properties"

#### Study sets matching "real number properties"

Rational Numbers

Natural Numbers

Integers

Whole Numbers

Any number that can be written as a ratio which means it can…

Positive integers and sometimes 0

The number 0 is neither negative or positive. Two of these ar…

a number without a fraction; an integer

Rational Numbers

Any number that can be written as a ratio which means it can…

Natural Numbers

Positive integers and sometimes 0

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

commute = move to a new place when adding

commute = move to a new place when multiplying

associate = regroup the terms that are associated with each o…

associate = regroup the factors that are associated with each…

Commutative Property of Addition

commute = move to a new place when adding

Commutative Property of Multiplication

commute = move to a new place when multiplying

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

8 + 6 = 6 + 8

8 x 6 = 6 x 8

2 + (3 + 7) = (2 + 3) + 7

2 x (3 x 7) = (2 x 3) x 7

Commutative Property of Addition

8 + 6 = 6 + 8

Commutative Property of Multiplication

8 x 6 = 6 x 8

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

commute = move to a new place when adding

commute = move to a new place when multiplying

regroup - elements do not move, they group with a new friend…

regroup - elements do not move, they group with a new friend…

Commutative Property of Addition

commute = move to a new place when adding

Commutative Property of Multiplication

commute = move to a new place when multiplying

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

Changing the Order... a+b = b+a

Changing the Order... ab = ba

Moving Parentheses - keep order the same... (a+b)+c = a+(b+c)

Moving Parentheses - keep order the same... (ab)c = a(bc)

Commutative Property of Addition

Changing the Order... a+b = b+a

Commutative Property of Multiplication

Changing the Order... ab = ba

2 + x = x + 2

(-5 + y) + 11 = -5 + (y + 11)

(-5 + y) + 11 = 11 + (-5 + y)

23 + 0 = 23

commutative property of addition

associative property of addition

commutative property

additive identity property

2 + x = x + 2

commutative property of addition

(-5 + y) + 11 = -5 + (y + 11)

associative property of addition

commutative property

associative property

identity property

Inverse property

Addition Multiplication... a+b=b+a a times b= b times a

Addition Multiplication... (a+b) +c= a + (b+c) (a times b) times…

Addition Multiplication... a + 0 = a = 0 + a a times 1 = a = 1 t…

Addition Multiplication... a + (-a) = 0 = (-a) + a a times 1/a =…

commutative property

Addition Multiplication... a+b=b+a a times b= b times a

associative property

Addition Multiplication... (a+b) +c= a + (b+c) (a times b) times…

Commutative Property

Associative Property

Distributive Property

Inverse Property of Addition

Allows numbers to switch places when adding or multiplying. 4…

Hfhhyfhyfhyfyhf

...

...

Commutative Property

Allows numbers to switch places when adding or multiplying. 4…

Associative Property

Hfhhyfhyfhyfyhf

Commutative Property

Associative Property

Distributive Property

Identity of Addition

Numbers switch places around multiplication and addition... 3…

Numbered are REGROUPED, they do NOT switch places... (4 x 2)6…

Multiply the number/variable outside the grouping symbol by e…

The number that when added or subtracted to a number results…

Commutative Property

Numbers switch places around multiplication and addition... 3…

Associative Property

Numbered are REGROUPED, they do NOT switch places... (4 x 2)6…

Commutative Property of Addition (1)

Additive Identity (1)

Zero Property of Multiplication (1)

Associative Property of Addition (2)

(b + 8) + 1 = (8 + b) + 1

7c + 0 = 7c

27 + 6a × 0 = 27 + 0

(-1 + 4) + 7 = -1 + (4 + 7)

Commutative Property of Addition (1)

(b + 8) + 1 = (8 + b) + 1

Additive Identity (1)

7c + 0 = 7c

Associative Property of Addition

Commutative Property of Additions

Additive Identity Property

Additive Inverse Property

When adding more than two numbers we can "group" any two numb…

We can add numbers in any "order".... a + b = b + a

Zero added to any number is the number itself.... a + 0 = a or 0…

The sum of a number and its opposite is zero.... a + (-a) = 0 or…

Associative Property of Addition

When adding more than two numbers we can "group" any two numb…

Commutative Property of Additions

We can add numbers in any "order".... a + b = b + a

Rational Numbers

Natural Numbers

Integers

Whole Numbers

Any number that can be written as a ratio which means it can…

Positive integers

The number 0 is neither negative or positive. Two of these ar…

a number without a fraction; an integer

Rational Numbers

Any number that can be written as a ratio which means it can…

Natural Numbers

Positive integers

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

Changing the Order... a+b = b+a

Changing the Order... ab = ba

Moving Parentheses - keep order the same... (a+b)+c = a+(b+c)

Moving Parentheses - keep order the same... (ab)c = a(bc)

Commutative Property of Addition

Changing the Order... a+b = b+a

Commutative Property of Multiplication

Changing the Order... ab = ba

Commutative Property

Distributive Property

Associative Property

Identity Property

The property that says that two or more numbers can be added…

A property indicating a special way in which multiplication i…

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

The property that states that the product/sum of 1/0 and any…

Commutative Property

The property that says that two or more numbers can be added…

Distributive Property

A property indicating a special way in which multiplication i…

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

The order of the addends does not matter when adding. Ex: a+b…

The order of the factors does not matter when multiplying. Ex…

the way in which you group three or more numbers when adding…

Changing the grouping of three or more factors does not chang…

Commutative Property of Addition

The order of the addends does not matter when adding. Ex: a+b…

Commutative Property of Multiplication

The order of the factors does not matter when multiplying. Ex…

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

commute = move to a new place when adding

commute = move to a new place when multiplying

associate = regroup the terms that are associated with each o…

associate = regroup the factors that are associated with each…

Commutative Property of Addition

commute = move to a new place when adding

Commutative Property of Multiplication

commute = move to a new place when multiplying

Commutative property of addition

Commutative property of multiplication

Associative property of addition

Associative property of Multiplication

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

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

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

(a

**b)**c=a**(b**c)Commutative property of addition

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

Commutative property of multiplication

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

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

commute = move to a new place when adding

commute = move to a new place when multiplying

associate = regroup the terms that are associated with each o…

associate = regroup the factors that are associated with each…

Commutative Property of Addition

commute = move to a new place when adding

Commutative Property of Multiplication

commute = move to a new place when multiplying

Distributive property of Multiplicatio…

Distributive property of Multiplicatio…

Multiplicative Identity of Addition

Identity property of Multiplication

To multiply a sum by a number, you can multiply each addend b…

To multiply a difference by a number, you can multiply the su…

The product of one and a number is that number.

The product of one and a number is that number.

Distributive property of Multiplicatio…

To multiply a sum by a number, you can multiply each addend b…

Distributive property of Multiplicatio…

To multiply a difference by a number, you can multiply the su…

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

The order of the addends does not matter when adding. Ex: a+b…

The order of the factors does not matter when multiplying. Ex…

the way in which you group three or more numbers when adding…

Changing the grouping of three or more factors does not chang…

Commutative Property of Addition

The order of the addends does not matter when adding. Ex: a+b…

Commutative Property of Multiplication

The order of the factors does not matter when multiplying. Ex…

Associative Property of Addition

Associative Property of Multiplication

Distributive Property

Inverse

Allows you to re-group addends using grouping symbols:... ( ) o…

Allows you to re-group number factors using grouping symbols:…

Multiplying the factor outside the parentheses by every term…

another word for "opposite"

Associative Property of Addition

Allows you to re-group addends using grouping symbols:... ( ) o…

Associative Property of Multiplication

Allows you to re-group number factors using grouping symbols:…

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

The order of the addends does not matter when adding. Ex: a+b…

The order of the factors does not matter when multiplying. Ex…

the way in which you group three or more numbers when adding…

Changing the grouping of three or more factors does not chang…

Commutative Property of Addition

The order of the addends does not matter when adding. Ex: a+b…

Commutative Property of Multiplication

The order of the factors does not matter when multiplying. Ex…

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Addition

45 + 12 = 12 + 45

12 x 65 = 65 x 12

2( 4 + 5) = (2 +4) +5

(3 + 7) + 9 = 3 + (7 + 9)

Commutative Property of Addition

45 + 12 = 12 + 45

Commutative Property of Multiplication

12 x 65 = 65 x 12

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

Commutative property of multiplication

Associative property of addition

Associative property of multiplication

(commute = move to new place)... a+b=b+a or 6+4=4+6

(commute = move to new place)... a

**b=b**a or 5**7=7**5(regroup - elements do not move, they group with a new friend…

(regroup - elements do not move, they group with a new friend…

Commutative property of addition

(commute = move to new place)... a+b=b+a or 6+4=4+6

Commutative property of multiplication

(commute = move to new place)... a

**b=b**a or 5**7=7**5Additive 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

Associative Property of Addition

Identity Property of Addition

Inverse Property of Addition

a + b = b + a

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

a + 0 = a

a + -a = 0

Commutative Property of Addition

a + b = b + a

Associative Property of Addition

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

Commutative ... Property of Addition

Commutative Property of Multiplication

Associating Property of Addition

Associative Property of Multiplication

- a+b = b+a

- a

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

- (ab)c = a(bc)

Commutative ... Property of Addition

- a+b = b+a

Commutative Property of Multiplication

- a

**b = b**aNatural Numbers

Whole Numbers

Integers

Rational Numbers

1,2,3,4... the numbers used for counting

Natural numbers and zero; 0, 1, 2, 3...

A set of whole numbers and their opposites.

A real number that can be written as a ratio of two integers.…

Natural Numbers

1,2,3,4... the numbers used for counting

Whole Numbers

Natural numbers and zero; 0, 1, 2, 3...

Additive Property of Zero

Additive Property of Zero

Additive Property of Zero

Commutative Property of Addition

a + 0 = 0 + a = a

Means: Zero added to any value is that value

Example: 2 + 0 = 2

a + b = b + a

Additive Property of Zero

a + 0 = 0 + a = a

Additive Property of Zero

Means: Zero added to any value is that value