Study sets matching "properties number"

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Study sets matching "properties number"

Number Properties
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.
24 terms
Number Properties
Divisible by 4 if...
Divisible by 6 if...
Divisible by 8 if...
Divisible by 9 if....
by 2 twice, or last two digits by 4
Divisibly by BOTH 2&3
Last 3 digits by 8
Sum is divisible by 9
Divisible by 4 if...
by 2 twice, or last two digits by 4
Divisible by 6 if...
Divisibly by BOTH 2&3
Number properties
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
8 terms
number properties
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)
15 terms
Number Properties
Associative
Commutative
Distributive
Identity
a+(b+c) = (a+b)+c
a+b = b+a
a(b+c) = ab+ac
a+0 = a
Associative
a+(b+c) = (a+b)+c
Commutative
a+b = b+a
number properties
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)
28 terms
Number Properties
Even + Even
Even + Odd
Odd + Odd
Even x Even
Even
Odd
Even
Even
Even + Even
Even
Even + Odd
Odd
35 terms
Number Properties
Even +/- Even
Odd +/- Odd
Even +/- Odd
Even * Even
Even
Even
Odd
Even
Even +/- Even
Even
Odd +/- Odd
Even
8 terms
Properties of Numbers
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…
12 terms
Number Properties
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
15 terms
Number Properties
Divisible by 2
Divisible by 3
Divisible by 4
Divisible by 5
If its even
digits add up to multiple of 3
last 2 digits multiple of 4
last digit 0 or 5
Divisible by 2
If its even
Divisible by 3
digits add up to multiple of 3
Properties of Numbers
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…
Properties of Numbers
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
Properties of Numbers
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…
11 terms
The Number Properties
additive identity
additive inverse
multiplicative identity
multiplication property of 0
a+0=a
a+(-a)=a
a×1=a
a×0=a
additive identity
a+0=a
additive inverse
a+(-a)=a
Properties of Numbers
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…
Number Properties
First ten prime numbers
Even +/- Even
Odd +/- Odd
Even +/- Odd
2, 3, 5, 7, 11, 13, 17, 19, 23, 29
= Even
= Even
= Odd
First ten prime numbers
2, 3, 5, 7, 11, 13, 17, 19, 23, 29
Even +/- Even
= Even
12 terms
Number Properties
Or
And
How many...?
1!
Means add in combinations
Means multiply in combinations
Usually signals a combination problem
1
Or
Means add in combinations
And
Means multiply in combinations
Number Properties
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
Number Properties
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
Properties of Numbers
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…
Numbers and Properties
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
Number Properties
1a = a
0+x=x
-2+2=0
2x+(5x+8)=(2x+5x)+8
Identity property of multiplication
Identity property of addition
Inverse property of addition
Associative property of addition
1a = a
Identity property of multiplication
0+x=x
Identity property of addition
Number properties
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
41 terms
Properties of Numbers
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
8 terms
Properties of Numbers
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…
7 terms
Properties of Numbers
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.
Number Properties
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 (np) = p (mn) (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)
20 terms
Number Properties
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…
20 terms
Number Properties
(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
16 terms
Number Properties
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)
8 terms
Number Properties
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
28 terms
Number Properties
The sum of two even numbers is...
The sum of two odd numbers is...
The sum of one even and one odd number…
The product of two even numbers is ...
Even
Even
Odd
even
The sum of two even numbers is...
Even
The sum of two odd numbers is...
Even
22 terms
Number Properties
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)
8 terms
number properties
commutative property of addition/ mult…
associative property of addition and m…
distributive property
additive identity property
2+3=3+2=5
(5x3)x2= 5x(3x2)
8(x+3)=8x+24
8+0=0
commutative property of addition/ mult…
2+3=3+2=5
associative property of addition and m…
(5x3)x2= 5x(3x2)
14 terms
Number Properties
Reflexive
Symmetric
Transitive
Substitution
7=7
If j=k then k=j... -same
If x=y and y=w then x=w... - Takes away the middle
Y= 5x-2 and x=4 ... y= 5(4) -2 y=18
Reflexive
7=7
Symmetric
If j=k then k=j... -same
Properties of Numbers
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
Properties of Numbers
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…
Number properties
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
The Number Properties (Properties)
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…
Properties of Numbers
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"
Properties of Numbers
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"
NUMBER PROPERTIES
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
5 terms
Number Properties
Integers
Integer*Integer =
Integer/Integer =
Is 1 a prime number?
Positive whole numbers... zero... Negative whole numbers
Integer
Not Necessarily an Integer
NO! No 1 is not a prime number
Integers
Positive whole numbers... zero... Negative whole numbers
Integer*Integer =
Integer
6 terms
Number Properties
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
8 terms
Number properties
Odd x odd
Even x even
Even x odd
Even -+ odd
Odd
Even
Even
Odd
Odd x odd
Odd
Even x even
Even
11 terms
The number properties
additive identity
additive inverse
multiplicative identity
multiplication property of 0
for any number a... a+0=a
for any number a ... a+(-a)=0
for any number a ... a•1=a
for any number a ... a•0=0
additive identity
for any number a... a+0=a
additive inverse
for any number a ... a+(-a)=0
10 terms
Properties of Number
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…
22 terms
Number Properties
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
10 terms
Properties of Numbers
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)
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