# Study sets matching "properties of real numbers"

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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 d…

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

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

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 d…

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

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

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 d…

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

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:…

change order (addition) does not change…

change order (multiplication)... does not…

add zero to keep number

multiply by 1 to keep number

Commutative Property of Addition

Commutative Property of Multiplication

Identity Property for Addition

Identity Property for Multiplication

change order (addition) does not change…

Commutative Property of Addition

change order (multiplication)... does not…

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

Distributive Property

Inverse

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

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

Multiplying the factor outside the parentheses by every term i…

another word for "opposite"

Associative Property of Addition

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

Associative Property of Multiplication

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

What is the Commutative property of ADD…

What is the Commutative property of MUL…

What is the Associative property of ADD…

What is the Associative property of MUL…

the process you use when you change the order numbers are adde…

the process when you change the order in which numbers are mul…

the process when you change the grouping if numbers in additio…

changing the grouping of numbers in multiplication without cha…

What is the Commutative property of ADD…

the process you use when you change the order numbers are adde…

What is the Commutative property of MUL…

the process when you change the order in which numbers are mul…

Rational Numbers

Natural Numbers

Integers

Whole Numbers

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

Positive integers

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

a number without a fraction; an integer beginning with 0

Rational Numbers

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

Natural Numbers

Positive integers

Rational Numbers

Natural Numbers

Integers

Whole Numbers

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

Positive integers and sometimes 0

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

a number without a fraction; an integer

Rational Numbers

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

Natural Numbers

Positive integers and sometimes 0

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

a + b = b + a

ab=ba

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

(ab)c = a(bc)

Commutative Property of Addition

a + b = b + a

Commutative Property of Multiplication

ab=ba

Rational Numbers

Natural Numbers

Integers

Whole Numbers

A real number that can be written as a ratio. Will always have…

Positive integers

Rational numbers without decimals.

An integer beginning with 0

Rational Numbers

A real number that can be written as a ratio. Will always have…

Natural Numbers

Positive integers

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

Rational Numbers

Natural Numbers

Integers

Whole Numbers

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

Positive integers or whole numbers without the zero

The number 0 with both positive and negative integers

the natural numbers and the number zero

Rational Numbers

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

Natural Numbers

Positive integers or whole numbers without the zero

Addition

Multiplication

Zero Property of Multiplication

Multiplication Property of -1

associative property of addition

An operation used for the shortening of repeated addition

The product of any number and zero is zero.

-1 times a number equals the opposite of that number

Addition

associative property of addition

Multiplication

An operation used for the shortening of repeated addition

Associative Property of Addition

Associative Property of Multiplication

Commutative Property of Addition

Commutative Property of Multiplication

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

(ab)c = a(bc)

a + b = b + a

ab = ba

Associative Property of Addition

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

Associative Property of Multiplication

(ab)c = a(bc)

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 d…

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

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 ot…

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.

Changing the order of addends does not change the sum.

Changing the order of the factors does not change the product.

Changing the grouping of the addends does not change the sum.

Changing the grouping of the factors does not change the produ…

Commutative property of addition.

Changing the order of addends does not change the sum.

Commutative property of multiplication.

Changing the order of the factors does not change the product.

Associative Property of Addition

Associative Property of Multiplication

Distributive Property

Inverse

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

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

Multiplying the factor outside the parentheses by every term i…

another word for "opposite"

Associative Property of Addition

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

Associative Property of Multiplication

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

Commutative Property

Associative Property

Identity Property of Addition

Identity Property of Multiplication

You can change the order of the numbers when you add or multip…

You can change the grouping of the numbers when you add or mul…

Any number plus zero equals the original number.

Any number times one equals the original number.

Commutative Property

You can change the order of the numbers when you add or multip…

Associative Property

You can change the grouping of the numbers when you add or mul…

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 ot…

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

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 d…

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

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

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 d…

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

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

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 d…

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

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:…