# Study sets matching "properties number"

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inverse property of addition

commutative property of addition

associative property of addition

identity property of addition

the sum of a number and its opposite is 0

the ORDER of the addends (numbers being added together) does n…

the grouping of addends using parenthesis doesn't affect their…

the sum of any number and zero is the original number

inverse property of addition

the sum of a number and its opposite is 0

commutative property of addition

the ORDER of the addends (numbers being added together) does n…

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Associative

Commutative

Distributive

Identity of multiplication

Changing the grouping does not change the product or sum

Changing the order does not change the product or the sum

The product of the sums is equal to the sum of the product

Multiplying a number by 1 results in the same number

Associative

Changing the grouping does not change the product or sum

Commutative

Changing the order does not change the product or the sum

commutative property of addition

associative property of addition

identity property of addition

identity property of multiplication

the ORDER of the addends (numbers being added together) does n…

the grouping of addends using parenthesis doesn't affect their…

the sum of any number and zero is the original number

the product of any number and 1 is equal to the original number

commutative property of addition

the ORDER of the addends (numbers being added together) does n…

associative property of addition

the grouping of addends using parenthesis doesn't affect their…

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…

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…

(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

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

multiple

factor

product

square number

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

numbers we can multiply together to get another whole number

the result you get when you multiply two numbers together.

the product of a number multiplied by itself

multiple

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

factor

numbers we can multiply together to get another whole number

inverse property of addition

commutative property of addition

associative property of addition

identity property of addition

the sum of a number and its opposite is 0

the ORDER of the addends (numbers being added together) does n…

the grouping of addends using parenthesis doesn't affect their…

the sum of any number and zero is the original number

inverse property of addition

the sum of a number and its opposite is 0

commutative property of addition

the ORDER of the addends (numbers being added together) does n…

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…

Divisible Rules... 2

Divisible Rules... 3

Divisible Rules... 4

Divisible Rules... 5

If the integer is even... 1,234,567 = odd (b/c of 7)... 2,345,678 =…

If the sum of the integers digits are divisible by 3... 72 is di…

If the integer is divisible by 2

**twice**, or if the last 2 dig…If the integer ends in 0 or 5... 75 and 80 are divisible by 5

Divisible Rules... 2

If the integer is even... 1,234,567 = odd (b/c of 7)... 2,345,678 =…

Divisible Rules... 3

If the sum of the integers digits are divisible by 3... 72 is di…

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

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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…

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

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…