#### Study sets matching "properties number"

#### Study sets matching "properties number"

a×b=b×a

(a×b)×c=a×(b×c)

a×1=a and 1×a=a

a×0=0 and 0×a=0

Communative, because the numbers change places.

Associative,because the parenthesis move but the numbers don't.

Identity, because its show the identity of the number.

Zero, because the number is multiplied by zero.

a×b=b×a

Communative, because the numbers change places.

(a×b)×c=a×(b×c)

Associative,because the parenthesis move but the numbers don't.

Integers

Rational numbers

Irrational numbers

PEMDAS

Whole numbers... Include negative whole numbers and zero

A number that can be expressed as a ratio of two integers

Real numbers that can be put on a number line but CANNOT be e…

Parenthesis ... Exponents... Multiplication ... Division... Addition... Subt…

Integers

Whole numbers... Include negative whole numbers and zero

Rational numbers

A number that can be expressed as a ratio of two integers

commutative

associative

distributive

transitive

changing the order does not change the answer (+,x)

changing the grouping does not change the answer (+,x)

the number of the outside multiplied by each of the numbers i…

if the problems are the same, then the answer is the same (2+…

commutative

changing the order does not change the answer (+,x)

associative

changing the grouping does not change the answer (+,x)

commutative

associative

additive identity

additive inverse

order does not matter when you add 1+2=2+1

grouping does not matter when you add (1+2)+3=1+(2+3)

(a numbers identity doesn't change when 0 is added) 2+0=2

the sum of the number and its additive inverse or opposite is…

commutative

order does not matter when you add 1+2=2+1

associative

grouping does not matter when you add (1+2)+3=1+(2+3)

Associative Property of Addition

Associative Property of Multiplication

Commutative Property of Addition

Commutative Property of Multiplication

No matter how addends are grouped, the sum will always be the…

No matter how the factors are grouped, the product will alway…

Numbers may be added in any order

Numbers may be multiplied in any order

Associative Property of Addition

No matter how addends are grouped, the sum will always be the…

Associative Property of Multiplication

No matter how the factors are grouped, the product will alway…

a + b = b + a

a X b = b X a

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

(aXb)c = a(bXc)

commutative property of addition

commutative property of multiplication

associative property of addition

associative property of multiplication

a + b = b + a

commutative property of addition

a X b = b X a

commutative property of multiplication

Associative Property of Addition

Associative Property of Multiplication

Commutative Property of Addition

Commutative Property of Multiplication

No matter how addends are grouped, the sum will always be the…

No matter how the factors are grouped, the product will alway…

Numbers may be added in any order

Numbers may be multiplied in any order

Associative Property of Addition

No matter how addends are grouped, the sum will always be the…

Associative Property of Multiplication

No matter how the factors are grouped, the product will alway…

Distributive Property

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Changing the Order... a+b = b+a

Changing the Order... ab = ba

Moving Parentheses - keep order the same... (a+b)+c = a+(b+c)

Distributive Property

Commutative Property of Addition

Changing the Order... a+b = b+a

Reflexive Property

Symmetric Property

Transitive Property

Substitution Property

Any quantity is equal to itself

If one quantity equals a second quantity, then the second qua…

If one quantity equals a second quantity and the second quant…

A quantity may be substituted for its equal in any expression.

Reflexive Property

Any quantity is equal to itself

Symmetric Property

If one quantity equals a second quantity, then the second qua…

Commutative Property

Associative Property

Additive Identity

Multiplicative Identity

changing the ORDER of addition or multiplication does not cha…

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

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

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

Commutative Property

changing the ORDER of addition or multiplication does not cha…

Associative Property

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

Prime numbers less than 20

Prime numbers between 20-50

Divisible by 2

Divisible by 3

2,3,5,7,9,11,13,27,19

23, 29, 31, 37, 41, 43, 47

The integer is even

The sum of the integer's digits is divisible by 3

Prime numbers less than 20

2,3,5,7,9,11,13,27,19

Prime numbers between 20-50

23, 29, 31, 37, 41, 43, 47

An integer is divisible by 2 if...

An integer is divisible by 3 if...

An integer is divisible by 4 if...

An integer is divisible by 5 if...

the integer is even

the sum of the integer's digits is divisible by 3

the integer is divisible by 2 twice OR if the last 2 digits a…

the integer ends in 0 or 5

An integer is divisible by 2 if...

the integer is even

An integer is divisible by 3 if...

the sum of the integer's digits is divisible by 3

Reflexive Property

Symmetric Property

Transitive Property

Substitution Property

Any quantity is equal to itself

If one quantity equals a second quantity, then the second qua…

If one quantity equals a second quantity and the second quant…

A quantity may be substituted for its equal in any expression.

Reflexive Property

Any quantity is equal to itself

Symmetric Property

If one quantity equals a second quantity, then the second qua…

algebraic expression

variables

term

factor

consists of sums and/or products of numbers and variables

symbols used to represent unspecified values or numbers

A number, a variable, or the product of a number and a variable

In an algebraic expression, the quantities being multiplied a…

algebraic expression

consists of sums and/or products of numbers and variables

variables

symbols used to represent unspecified values or numbers

When is an integer divisible by 3?

When is an integer divisible by 4?

When is an integer divisible by 6?

When is an integer divisible by 8?

Sum if the digits is divisible by 3

Divisivle by 2 twice, or the last 2 digits are divisible by 4

Divisible by 2 and 3

Divisible by 2 three times, or last 3 digits divisible by 8

When is an integer divisible by 3?

Sum if the digits is divisible by 3

When is an integer divisible by 4?

Divisivle by 2 twice, or the last 2 digits are divisible by 4

Distributive Property

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Changing the Order... a+b = b+a

Changing the Order... ab = ba

Moving Parentheses - keep order the same... (a+b)+c = a+(b+c)

Distributive Property

Commutative Property of Addition

Changing the Order... a+b = b+a

Commutative Property

Associative Property

Additive Identity

Multiplicative Identity

changing the order of addition or multiplication does not cha…

changing the parentheses of the numbers you are adding or mul…

when you add any number and 0, you get the number you started…

when you multiply any number with 1, you get the number you s…

Commutative Property

changing the order of addition or multiplication does not cha…

Associative Property

changing the parentheses of the numbers you are adding or mul…

Additive Identity

Additive Inverse

Multiplicative Identity

Multiplicative Inverse

For any number a, the sum of a and 0 is a.

A number and its opposite are additive inverses of each other.

For any number a, the product of a and 1 is a.

For every number a/b, where a and b do not equal zero, there…

Additive Identity

For any number a, the sum of a and 0 is a.

Additive Inverse

A number and its opposite are additive inverses of each other.

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Additon

Associative Property of Multiplication

a + b + c = c + b + a (move; change order) 2 + 3 + 4 = 4 + 2 +3

abc= cba (changing order) (9)(8)(7) = (8)(7)(9)

x + (y+z) = y + (x + z) (changing grouping) 5 + (10 + 15) = 1…

m

**(n**p) = p**(m**n) (changing grouping) 2 (5**7) = 7 (2**5)Commutative Property of Addition

a + b + c = c + b + a (move; change order) 2 + 3 + 4 = 4 + 2 +3

Commutative Property of Multiplication

abc= cba (changing order) (9)(8)(7) = (8)(7)(9)

Addition and Subtraction for Odd and E…

Multiplying

Division

The sum of 2 Primes

Adding or subtracting 2 odds or 2 evens = EVEN... Adding or subt…

If ANY of the integers are even = EVEN... If NONE of the integer…

No guaranteed outcomes with division... Odd number divided by an…

All primes numbers are odd, except the number 2. ... Sum of 2 pr…

Addition and Subtraction for Odd and E…

Adding or subtracting 2 odds or 2 evens = EVEN... Adding or subt…

Multiplying

If ANY of the integers are even = EVEN... If NONE of the integer…

(3∙4)∙5 = 3∙(4∙5)

(-5∙3)∙8 = -5∙(3∙8)

(2∙9)∙8 = 2∙(9∙8)

(10∙4)∙2 = 10∙(4∙2)

Associative Property of Multiplication

Associative Property of Multiplication

Associative Property of Multiplication

Associative Property of Multiplication

(3∙4)∙5 = 3∙(4∙5)

Associative Property of Multiplication

(-5∙3)∙8 = -5∙(3∙8)

Associative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

Commutative Property of Addition

Commutative Property of Multiplication

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

(a ∙ b) ∙ c = a ∙ (b ∙ c)

a + b = b + a

a ∙ b = b ∙ a

Associative Property of Addition

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

Associative Property of Multiplication

(a ∙ b) ∙ c = a ∙ (b ∙ c)

commutative property

associative property

distributive property

additive identity

the order of the numbers does not affect the sum or product

the grouping of the numbers does not affect the sum or product

multiplication can be distributed over addition or subtraction

when zero is added or subtracted from a number, it remains th…

commutative property

the order of the numbers does not affect the sum or product

associative property

the grouping of the numbers does not affect the sum or product

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

6 + 5 = 5 + 6

(-9)(3) = 3(-9)

(3 + 2) + 5 = 3 + (2 + 5)

-4(2 x 8) = (-4 x 2) x 8

Commutative Property of Addition

6 + 5 = 5 + 6

Commutative Property of Multiplication

(-9)(3) = 3(-9)

Commutative Property

Associative Property

Distributive Property

Additive Identity Property

Changes order of terms

Changes groups of terms

Rewrites an expression without parenthesis

Adding zero keeps the number the same

Commutative Property

Changes order of terms

Associative Property

Changes groups of terms

Identity Property of Addition

Identity Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

If you add zero to a number, the sum is the same as that numb…

If you add zero to a number, the sum is the same as that numb…

Changing the grouping of three or more addends does not chang…

Changing the grouping of three or more factors does not chang…

Identity Property of Addition

If you add zero to a number, the sum is the same as that numb…

Identity Property of Multiplication

If you add zero to a number, the sum is the same as that numb…

ODD number of negative signs

GMAT integer

Divisible by 6

Divisible by 9

Answer will be NEGATIVE

Non-fraction/non-decimal

Integer is divisible by BOTH 2 (even) and 3 (numbers added up…

SUM of integers digits are divisible by 9

ODD number of negative signs

Answer will be NEGATIVE

GMAT integer

Non-fraction/non-decimal

Commutative Property

Associative Property

Distributive Property

Identity Property

States that order does not matter. Multiplication and additio…

States that you can add or multiply regardless of how the num…

Is an algebra property which is used to multiply a single ter…

States that any time you multiply a number by 1, the result,…

Commutative Property

States that order does not matter. Multiplication and additio…

Associative Property

States that you can add or multiply regardless of how the num…

commutative addition

commutative multiplication

associative addition

associative multiplication

No need for "property of"

No need for "property of"

No need for "property of"

No need for "property of"

commutative addition

No need for "property of"

commutative multiplication

No need for "property of"

commutative addition

commutative multiplication

associative addition

associative multiplication

No need for "property of"

No need for "property of"

No need for "property of"

No need for "property of"

commutative addition

No need for "property of"

commutative multiplication

No need for "property of"

Divisibility Rule for 4

Divisibility Rule for 9

Divisibility Rule for 8

Transitive Rule for Factors

If the last two digits of a number are divisible by 4

Sum of digits is divisible by 9

If the last three digits are divisible by 8

If a is a factor of b and b is a factor of c, then a is also…

Divisibility Rule for 4

If the last two digits of a number are divisible by 4

Divisibility Rule for 9

Sum of digits is divisible by 9

what are the first 5 prime numbers?

What are the first 5 square numbers?

What are the first 5 cube numbers?

What are the first 5 multiples of 8?

2, 3, 5, 7, 11

1, 4, 9, 16, 25

1, 8, 27, 64, 125

8, 16, 24, 32, 40

what are the first 5 prime numbers?

2, 3, 5, 7, 11

What are the first 5 square numbers?

1, 4, 9, 16, 25

Reflexive

Symmetric Property

Transitive Property

Substitution Property

Any quanity is equal to itself... 4+7=4+7

If one quantity equals a second then the second quantity equa…

If one quantity equals a second quantity and the second quant…

A quantity may be substituted for its equal in any expression…

Reflexive

Any quanity is equal to itself... 4+7=4+7

Symmetric Property

If one quantity equals a second then the second quantity equa…

What is absolute value?

If you are told that |x|= 5?

What is the effect of adding zero to o…

What is the effect of multiplying a nu…

It is the value of a number without its sign. ... |-3| = |+3| = 3

X could be equal +5 or -5

It does not change the number unless in the below case:... 0 - 5…

It doesn't change the number

What is absolute value?

It is the value of a number without its sign. ... |-3| = |+3| = 3

If you are told that |x|= 5?

X could be equal +5 or -5

commutative property of addition

associative property of addition... (adde…

identity property of addition... (if 0 is…

additive inverse property... (the additiv…

a + b = b + a

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

a + 0 = a or o + a = a

a + (-a) = 0 or (-a) + a= 0

commutative property of addition

a + b = b + a

associative property of addition... (adde…

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