# Study sets matching "properties number"

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Commutative Property

Associative Property

Distributive

Closure

order does not make any difference in the result.... This propert…

Grouping symbols does not make any difference in the result.... T…

Multiplication and division may be distributed over addition a…

Operating on any two elements of a set results in an element i…

Commutative Property

order does not make any difference in the result.... This propert…

Associative Property

Grouping symbols does not make any difference in the result.... T…

(AB)•C = A•(BC)

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

AB = BA

A + B = B + A

associative prop. of multiplication

associative prop. of addition

commutative prop. of multiplication

commutative prop. of addition

(AB)•C = A•(BC)

associative prop. of multiplication

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

associative prop. of addition

Commutative

Associative

Identity

Inverse

a+b=b+a axb=bxa... 2+3=3+2 2x3=3x2

(a+b)+c=a+(b+c) (axb)xc=ax(bxc) ... (1+2)+3=1+(2+3) (1x2)x3=1x(2x…

a+0=a ax1=a... 3+0=3 3x1=3

a+-a=0 ax1/a=1... 3+-3=0 2x1/2=1

Commutative

a+b=b+a axb=bxa... 2+3=3+2 2x3=3x2

Associative

(a+b)+c=a+(b+c) (axb)xc=ax(bxc) ... (1+2)+3=1+(2+3) (1x2)x3=1x(2x…

prime numbers

prime factorization

breaking a number down into its prime f…

when doing a prime factorization . . .

any number with only 1 and itself as factors

a number will always break down into the same set of prime num…

The key to solving many divisibility problems

start by writing the lowest prime the number is divisible by i…

prime numbers

any number with only 1 and itself as factors

prime factorization

a number will always break down into the same set of prime num…

Whole numbers

Integers

Factor

Multiple

Whole numbers: 0,1,2,3...

Integers: -3,-2,-1,0,1,2,3...

Factor: a factor of a positive integer x is a positive integer…

Multiple:A multiple of an integer x is a number that can be ex…

Whole numbers

Whole numbers: 0,1,2,3...

Integers

Integers: -3,-2,-1,0,1,2,3...

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

5 + 4 + 10 =4 + 5 + 10

1/3 x 2 = 2 x 1/3

4 + (2+9) = (4+2)+9

(5

**3)**2 = 5**(3**2)Commutative Property of Addition

5 + 4 + 10 =4 + 5 + 10

Commutative Property of Multiplication

1/3 x 2 = 2 x 1/3

Commutative Property

Associative Property

Identity Property of Addition

Identity Property of Multiplication

changing the ORDER of addition or multiplication does not chan…

changing the GROUPING of the numbers you are adding or multipl…

when you add 0 to any number, you get the number you started w…

when you multiply any number by 1, you get the number you star…

Commutative Property

changing the ORDER of addition or multiplication does not chan…

Associative Property

changing the GROUPING of the numbers you are adding or multipl…

expression

simplify

variable

additive inverse

A math statement that may contain numbers, variables, operatio…

To perform all operations

a letter in a math problem that represents a value

What you add to a number to get zero

expression

A math statement that may contain numbers, variables, operatio…

simplify

To perform all operations

What is the Remainder Formula?

If you add or subtract multiples of N,…

A number is divisible by 9 if...

A number is divisible by 8 if...

Ex: 35 + 21= 56... (5x7)+(3x7)=(5+3)x7=56

if the sum of its digits are divisible by 9

if integer is divisible by 2 three times in succession, OR if…

What is the Remainder Formula?

If you add or subtract multiples of N,…

Ex: 35 + 21= 56... (5x7)+(3x7)=(5+3)x7=56

multiple

factor

square number

prime number

a number that may be divided by another number WITHOUT a remai…

a number we can multiply together to get another number

the product of a number multiplied by itself

a number that has only two factors: itself and 1

multiple

a number that may be divided by another number WITHOUT a remai…

factor

a number we can multiply together to get another number

Multiple

Factor

Highest Common Factor (HCF)

Lowest Common Multiple (LCM)

is the result of multiplying a number by another whole number

a number that may be divided by another a certain number of ti…

Highest factor that is common to the numbers in the question

Lowest multiple that is common to the numbers in the question

Multiple

is the result of multiplying a number by another whole number

Factor

a number that may be divided by another a certain number of ti…

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…

Factors

Multiples

Ascending Order

Descending Order

a whole number that will divide into another number exactly.... E…

are numbers created by multiplying the particular number by an…

from smallest to largest.

from largest to smallest.

Factors

a whole number that will divide into another number exactly.... E…

Multiples

are numbers created by multiplying the particular number by an…

commutative property of addition

commutative property of multiplication

identity property of addition

identity property of multiplication

Numbers can be added in any order, and the sum will be the sam…

Numbers can be multiplied in any order, and the sum will be th…

0 can be added to any number without changing its value. ... 7 +…

Any number can be multiplied by 1 without changing its value.…

commutative property of addition

Numbers can be added in any order, and the sum will be the sam…

commutative property of multiplication

Numbers can be multiplied in any order, and the sum will be th…

Commutative Property of addition

Commutative Property of Multiplication

Associative Property of addition

Associative property of multiplication

changing the order of the numbers does not change the sum

changing the order does not change the product

changing the grouping does not change the sum

changing the grouping does not change the product

Commutative Property of addition

changing the order of the numbers does not change the sum

Commutative Property of Multiplication

changing the order does not change the product

Commutative property

Associative Property

Distributive Property

Identity Property

addition: x+y=y+x... ex: 7+3=3+7... Multiplication: x

**y=y**x... ex: 3*7=…addition: (x+y)+z=x+(y+z)... ex: (2+8)+6=2+(8+6)... Multiplication:(…

a(b+c)= ab+ac... ex: 4(2+3)=4

**2+4**3addition: a+0=a... 0=additive identity... Multiplication: a*1=a... 1=mu…

Commutative property

addition: x+y=y+x... ex: 7+3=3+7... Multiplication: x

**y=y**x... ex: 3*7=…Associative Property

addition: (x+y)+z=x+(y+z)... ex: (2+8)+6=2+(8+6)... Multiplication:(…

Identity Properties (addition)

Identity Properties (multiplication)

Identity properties examples

Commutative Properties

the sum of zero and any number is that number

the product of one and any number is that number

0+9=9 1*7=7

changing the factors or addends doesn't change the answer

Identity Properties (addition)

the sum of zero and any number is that number

Identity Properties (multiplication)

the product of one and any number is that number