# Study sets matching "real number properties"

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Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

a + b = b + a

a • b = b • a

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

a • ( b • c ) = ( a • b ) • c

Commutative Property of Addition

a + b = b + a

Commutative Property of Multiplication

a • b = b • a

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:…

Identity Property of Addition

Rational Numbers

Irrational Numbers

Real Numbers

The property that states the sum of any number plus zero equal…

Any number that can be written as a fraction.

Any number that CANNOT be expressed as a ratio of two integers…

ALL rational numbers and irrational numbers together.... The gra…

Identity Property of Addition

The property that states the sum of any number plus zero equal…

Rational Numbers

Any number that can be written as a fraction.

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

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

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

Commutative Property of Addition

Associate Property of Addition

Identity Property of Addition

Inverse Property of Addition

Change the order 4+5=5+4

Change the grouping (4+5)+7=4+(5+7)

Add zero 2+0=2

Add opposites the answer is zero 6 + -6=0

Commutative Property of Addition

Change the order 4+5=5+4

Associate Property of Addition

Change the grouping (4+5)+7=4+(5+7)

Addition Property of Equality

Subtraction Property of Equality

Substitution Property of Equality

Multiplication Property of Equality

If a = b, then a + c = b + c and c + a = c + b.

If a = b, then a - c = b - c.

If a = b, then a may be replaced with b in any expression or e…

If a = b, then c • a = c • b and a • c = b • c.

Addition Property of Equality

If a = b, then a + c = b + c and c + a = c + b.

Subtraction Property of Equality

If a = b, then a - c = b - c.

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