# Study sets matching "properties number"

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Distributive Property using addition

Associative Property

Commutative Property of Multiplication

Identity Property of Multiplication

4 x 28 = 4 x 20 + 4 x n

(4 x n) x 8 = 4 x (n x 8)

4 x r = r x 4

36 x 1 = 36

Distributive Property using addition

4 x 28 = 4 x 20 + 4 x n

Associative Property

(4 x n) x 8 = 4 x (n x 8)

Associative Properties

Commutative Properties

Distributive Properties

Symmetric Property

The grouping of addends or factors doesn't change the sum or t…

The order of addends or factors doesn'tchange the sum or the p…

For all numbers a, b, and c,... a(b + c) = ab + ac... a(b − c) = ab…

If a = b, then b = a.If 2 + 3 = 5, then 5 = 2 + 3.

Associative Properties

The grouping of addends or factors doesn't change the sum or t…

Commutative Properties

The order of addends or factors doesn'tchange the sum or the p…

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 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…

multiple

factor

product

quotient

The result of multiplying a number by a whole number (not a fr…

What numbers multiply to create a product. Numbers can have ma…

The result of multiplying two numbers together.

The result of dividing the dividend by a divisor.

multiple

The result of multiplying a number by a whole number (not a fr…

factor

What numbers multiply to create a product. Numbers can have ma…

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

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…

Index Notation

Any non-zero number raised to the power…

Factors of a positive integer

Prime Number

A convenient way to write a product of identical factors.

n0=1

Are the positive integers which divided exactly into it

A natural number which has exactly two different factors.

Index Notation

A convenient way to write a product of identical factors.

Any non-zero number raised to the power…

n0=1

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...

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

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…

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

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