# Study sets matching "math test chapter 3 properties"

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Commutative Property of Addition

Commutative Property of Multiplication

Associative Property

Distributive Property

4 + 2 = 2 + 4

4 x 2 = 2 x 4

(4 + 2) + 6 = 4 + (2 + 6)

4(2 + 6) = (4 x 2) + (4 x 6

Commutative Property of Addition

4 + 2 = 2 + 4

Commutative Property of Multiplication

4 x 2 = 2 x 4

Comm. Prop. Of Add./Mult.

Assoc. Prop. Of Add./Mult.

Add. Prop. of Zero (Identity Prop. Of A…

Mult. Prop. Of Zero

Changing the order Ex. 5+3=3+5 or 5x3=3x5

Changing number in the parentheses Ex. (5+3)+7=5+(3+7) or (5x3…

If you add zero to a number, the number stays the same Ex. 5+0…

Any number Multiplied by zero equals zero ... Ex. 5x0=0

Comm. Prop. Of Add./Mult.

Changing the order Ex. 5+3=3+5 or 5x3=3x5

Assoc. Prop. Of Add./Mult.

Changing number in the parentheses Ex. (5+3)+7=5+(3+7) or (5x3…

dividend

Divisor

Quotient

Fact Family

The number being divided. (the first number in a division sent…

The number by which the dividend is being divided. (the second…

The answer to a division problem.

A group of related facts, using the same numbers.

dividend

The number being divided. (the first number in a division sent…

Divisor

The number by which the dividend is being divided. (the second…

Commutative Property of Addition/Multip…

Associative Property of Addition/Multip…

Addition Property of Zero/ Identity Pro…

Multiplication Property of Zero

Changing the order, 5+3=3+5 or 3

**5=5**3Changing the numbers inside the parenthesis, ... (5+3)+7= 5+(3+7)…

If you add zero to a number the number stays the same,... 5+0=5

Any number multiplied by zero equals zero, 5*0=0

Commutative Property of Addition/Multip…

Changing the order, 5+3=3+5 or 3

**5=5**3Associative Property of Addition/Multip…

Changing the numbers inside the parenthesis, ... (5+3)+7= 5+(3+7)…

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

Changing the order of the terms in an addition equation does n…

Changing the order of the terms in a multiplication equation d…

Changing the grouping of the terms of an addition equation doe…

Changing the grouping of the terms of a multiplication problem…

Commutative Property of Addition

Changing the order of the terms in an addition equation does n…

Commutative Property of Multiplication

Changing the order of the terms in a multiplication equation d…

algebraic expression

terms

variable

coefficient

an expression that may contain numbers, operations, and one or…

parts of an algebraic expression

a symbol that represents one or more numbers

the numerical factor of a term that contains a variable

algebraic expression

an expression that may contain numbers, operations, and one or…

terms

parts of an algebraic expression

factors

Multiple

HCF

LCM

Numbers that divide a given number exactly. E.g. Factors of 10…

Numbers created by multiplying a given number by whole numbers…

The highest factor that is common to two or more numbers. E.g.…

The smallest multiple that is common to two of more numbers. E…

factors

Numbers that divide a given number exactly. E.g. Factors of 10…

Multiple

Numbers created by multiplying a given number by whole numbers…

Commutative Property of addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

When adding you can change the order of the addends

When multiplying, changing the order of two ... numbers

When adding you can change the grouping of the numbers

When multiplying you can change the grouping of the number

Commutative Property of addition

When adding you can change the order of the addends

Commutative Property of Multiplication

When multiplying, changing the order of two ... numbers

algebraic expression

terms

variable

coefficient

an expression that may contain numbers, operations, and variab…

parts of an algebraic expression

a symbol (usually a letter) that represents one or more numbers

the numerical factor or a term that contains a variable

algebraic expression

an expression that may contain numbers, operations, and variab…

terms

parts of an algebraic expression

**commutative**axiom for addition

**commutative**Ax. Mult.

associative ax. for add.

associative ax. mult.

**changing order**of things being

**added**doesn't change the va…

can change order of things being mult.... 3⋅7 = 7⋅3

can change grouping of things being added... (1+4)+5 = 1+(5+4)

change grouping of things being mult.... (2⋅5)8 = 2(5⋅8)

**commutative**axiom for addition

**changing order**of things being

**added**doesn't change the va…

**commutative**Ax. Mult.

can change order of things being mult.... 3⋅7 = 7⋅3

Comm. Prop. of add./mult.

Assoc. Prop. add./mult.

Add. Prop. of zero

Mult. Prop. of zero

switches the order 5+3=3+5/5

**3=3**5changes the numbers inside the parentheses (5+3)+7=(7+3)+5/(5*…

If you add 0 to a number the number stays the same 5+0=5

Any number mult. by 0 equals 0 5*0=0

Comm. Prop. of add./mult.

switches the order 5+3=3+5/5

**3=3**5Assoc. Prop. add./mult.

changes the numbers inside the parentheses (5+3)+7=(7+3)+5/(5*…

algebraic expression

terms

variable

coefficient

an expression that may contain numbers, operations, and variab…

parts of an algebraic expression

a symbol (usually a letter) that represents one or more numbers

the numerical factor or a term that contains a variable

algebraic expression

an expression that may contain numbers, operations, and variab…

terms

parts of an algebraic expression

Associative Property of Multiplication

Commutative Property of Multiplication

decompose

dividend

The way numbers are grouped does not change the product

The order in which two numbers are multiplied does not change…

To break apart a number

A number that is being divided

Associative Property of Multiplication

The way numbers are grouped does not change the product

Commutative Property of Multiplication

The order in which two numbers are multiplied does not change…

Addition Property of Equality

Subtraction Property of Equality

Transformation by Substitution

Transformation by Addition

Substitute an equivalent expression for any expression in a gi…

Add the same real number to each side of a given equation.

Addition Property of Equality

Subtraction Property of Equality

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

6+8=8+6

m∙8 = 8∙m

(3 + 2) + m = 3 + (2 + m)

2∙(7∙8)=(2∙7)∙8

Commutative Property of Addition

6+8=8+6

Commutative Property of Multiplication

m∙8 = 8∙m

Addition Property of Zero

algebraic expression

Coefficient

Associative Properties of Addition and…

The sum of any number and 0 is that number. (5+0=5)

An expression that contains numbers, operations, and one or mo…

The numerical factor of a term that contains a variable. I the…

Changing the grouping of addends or factors does not change th…

Addition Property of Zero

The sum of any number and 0 is that number. (5+0=5)

algebraic expression

An expression that contains numbers, operations, and one or mo…

dividend

Divisor

Quotient

Fact Family

The number being divided. (the first number in a division sent…

The number by which the dividend is being divided. (the second…

The answer to a division problem.

A group of related facts, using the same numbers.

dividend

The number being divided. (the first number in a division sent…

Divisor

The number by which the dividend is being divided. (the second…

corresponding angles postulate

alternate interior angles theorem

same side interior angles theorem

alternate exterior angles theorem

if a transversal intersects two parallel lines then correspond…

if a transversal intersects two parallel lines then alternate…

if a transversal intersects two parallel lines then same side…

if a transversal intersects two parallel lines that alternate…

corresponding angles postulate

if a transversal intersects two parallel lines then correspond…

alternate interior angles theorem

if a transversal intersects two parallel lines then alternate…

array

Commutative Property of Multiplication

equal groups

factor

a set of objects arranged in rows and columns

the property that states that you can multiply two factors in…

groups that have the same number of objects. For example, 5 ×…

a number that is multiplied by another number to find a product

array

a set of objects arranged in rows and columns

Commutative Property of Multiplication

the property that states that you can multiply two factors in…

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Parallel Postulate

Perpendicular Postulate

Corresponding Angle Postulate

Alternate Interior Angles Theorem

If there is a line and a point not on the line, then there is…

If there is a line and a point not on the line, then there is…

If two parallel lines are cut by a transversal, then the pairs…

If two parallel lines are cut by a transversal, then the pairs…

Parallel Postulate

If there is a line and a point not on the line, then there is…

Perpendicular Postulate

If there is a line and a point not on the line, then there is…

Addition Property of Equality

Subtraction Property of Equality

Transformation by Substitution

Transformation by Addition

Substitute an equivalent expression for any expression in a gi…

Add the same real number to each side of a given equation.

Addition Property of Equality

Subtraction Property of Equality

rational number

integer

equivalent fraction

common denominator

a number that can be written as a ratio (in the form a/b with…

all whole numbers (both positive and negative) and zero

different fractions that are equal in value... (Ex. 1/2 = 3/6)

a common number of two or more denominators

rational number

a number that can be written as a ratio (in the form a/b with…

integer

all whole numbers (both positive and negative) and zero