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Study sets matching "properties number"

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Study sets matching "properties number"

9 terms
Number properties.
Commutative property of addition.
Commutative property of multiplication.
Associative property of addition.
Associative property of multiplication.
17+38=38+17
21x55=55x21
(4+5)+10=4+(5+10)
(5x3)x7=5x(3x7)
Commutative property of addition.
17+38=38+17
Commutative property of multiplication.
21x55=55x21
10 terms
number properties
communitive property of addition
communitive property of multiplication
associative property of addition
associative property of multiplication
3 + 2 = 2 + 3
5 x 7 = 7 x 5
6 + (4 + 8) = (6 + 4) + 8
4 x (5 x 9) = (4 x 5) x 9
communitive property of addition
3 + 2 = 2 + 3
communitive property of multiplication
5 x 7 = 7 x 5
12 terms
Number Properties
Closure
Closure
Associative
Commutative
Being in the same set after operating with numbers. Real numb…
If x and y and real #s, x+y is real, x•y is real
(x+y)+z=x+(y+z)
3+2=2+3
Closure
Being in the same set after operating with numbers. Real numb…
Closure
If x and y and real #s, x+y is real, x•y is real
9 terms
Number Properties
Commutative property of addition
Commutative property of multiplication
Associative property of addition
Associative property of multiplication
7+3=3+7 (order doesn't matter, same sum)
3x7=7x3 (order doesn't matter, same product)
(2+3)+1=2(3+1) (doesn't matter what was added first)
(2x3)x1=2(3x1) (doesn't matter which are multiplied first)
Commutative property of addition
7+3=3+7 (order doesn't matter, same sum)
Commutative property of multiplication
3x7=7x3 (order doesn't matter, same product)
22 terms
Number Properties
Divisible by 2
Divisible by 3
Divisible by 4
Divisible by 5
If even
If sum of digits is divisible by 3
If divisible by 2 twice
Ends in 0 or 5
Divisible by 2
If even
Divisible by 3
If sum of digits is divisible by 3
28 terms
number properties
rules of divisibility by 2,3,4,5,6,8,9…
easiest way to check for divisibility…
if you add or subtract multiples on N,…
remember "fewer factors, more multiples"
an integer is divisible by... ... -2 if the integer is even ... -3…
just do long division
...
infinite multiples but only a few factors ... -factor aka a div…
rules of divisibility by 2,3,4,5,6,8,9…
an integer is divisible by... ... -2 if the integer is even ... -3…
easiest way to check for divisibility…
just do long division
41 terms
Number Properties
Abundant
Amicable
Apocalyptic Power
Aspiring
The number n is abundant if the sum of all its positive divis…
The number n is amicable if it belongs to an amicable pair. T…
The number n is called an apocalyptic power if 2n contains th…
The number n is called an aspiring number if its aliquot sequ…
Abundant
The number n is abundant if the sum of all its positive divis…
Amicable
The number n is amicable if it belongs to an amicable pair. T…
14 terms
Number properties
Sum of consectuive numbers
Odd number of terms in set
5 consecutive integers will
Number series with 1 even
( first x last) ( last / 2)
Sum will be a multiple of the number of numbers
Always be divisible by 5 when you multiply them together
Multiple of 2
Sum of consectuive numbers
( first x last) ( last / 2)
Odd number of terms in set
Sum will be a multiple of the number of numbers
24 terms
number properties
closure
commutative
associative
Identity
the sum or product of any two real numbers is a real number
order doesn't matter with addition or multiplication
grouping doesn't matter with addition or multiplication
there is a unique (one and only one) real number 0, and a uni…
closure
the sum or product of any two real numbers is a real number
commutative
order doesn't matter with addition or multiplication
19 terms
Number Properties
Reflexive property
Symmetric property
Transitive property
Substitution property
a = a
If a = b, then b = a
If a = b and b = c, then ... a = c
If a = b, then a can be replaced by b
Reflexive property
a = a
Symmetric property
If a = b, then b = a
16 terms
Number Properties
2
3
4
5
If the Integer is even
If the sum of the integer's DIGITS is divisible by 3
if the integer is divisible by 2 TWICE, or if the TWO-DIGIT n…
If the integer ends in 0 or 5
2
If the Integer is even
3
If the sum of the integer's DIGITS is divisible by 3
17 terms
Number Properties
Closure Property for Addition
Closure Property for Multipication
Commutative Property for Addition
Commutative Property for Multiplication
a + b is a rational number
ab is a rational number
a + b = b + a
ab = ba
Closure Property for Addition
a + b is a rational number
Closure Property for Multipication
ab is a rational number
10 terms
Number properties
Commutative Property of Addition
Associative Property of Addition
Identity property of addition
Additive Inverse Property
Says if you are adding two or more numbers, you can switch th…
Says that when you add 3 numbers, you can group the numbers i…
Says that no matter what number, it will stay the same if add…
When you add a number and its opposite, the result is zero... E…
Commutative Property of Addition
Says if you are adding two or more numbers, you can switch th…
Associative Property of Addition
Says that when you add 3 numbers, you can group the numbers i…
15 terms
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
Number Properties
Reflexive Property
Symmetric Property
Transitive Property
Identity Property
equal to self... 5 = 5 ; 2+11 = 2+11
reflection... if x = y then y = x
a = b and b = c, then a = c also
doesn't change the value... addition: x + 0 = x... multiplication:…
Reflexive Property
equal to self... 5 = 5 ; 2+11 = 2+11
Symmetric Property
reflection... if x = y then y = x
8 terms
Number Properties
Addition Property
Subtraction Property
Multiplication Property
Division Property
if a=b, then a+c=b+c
if a=b, then a-c=b-c
if a=b, then ac=bc
if a=b and c=/ 0. then a/c =b/c
Addition Property
if a=b, then a+c=b+c
Subtraction Property
if a=b, then a-c=b-c
9 terms
Number properties
2+5=5+2
4x54=54x4
(7+6)+4=7+(6+4)
(4x3)x9=4x(3x9)
Communative property of addition
Commutative property of multiplication
Associative property of addition
Associative property of multiplication
2+5=5+2
Communative property of addition
4x54=54x4
Commutative property of multiplication
20 terms
Number properties
0
1
integer
real number
neither + or -, but even
not a prime number
whole numbers 1,2,3,4,5
just another number
0
neither + or -, but even
1
not a prime number
35 terms
Number Properties
Integer divisible by 3
Integer Divisible by 4
Integer Divisible by 6
Integer Divisible by 8
If the sum of the integer's digits is divisible by 3
If the integer is divisible by 2 twice, or if the last two di…
If the integer is divisible by both 2 and 3
If integer is divisible by 2 three times, or if the last thre…
Integer divisible by 3
If the sum of the integer's digits is divisible by 3
Integer Divisible by 4
If the integer is divisible by 2 twice, or if the last two di…
16 terms
Number properties
Odd + Odd
Odd - Odd
Even + Even
Even - Even
Even
Even
Even
Even
Odd + Odd
Even
Odd - Odd
Even
45 terms
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
10 terms
Number properties
Communative property of addition
Communative property of multiplication
Associative property of addition
Associative property of multiplication
A+b = b+a
a•b=b•a
a+(b+c)=c+ (b+a)
A(b•c) = C(a•b)
Communative property of addition
A+b = b+a
Communative property of multiplication
a•b=b•a
25 terms
Number Properties
Commutative Property
Reflexive Property
Substitution Property
Addition Property of Equality
a+b=b+a
for any real #a, a=a... 3=3 or a+b+2=a+b+2
if a=b, then b=a (hint: they switch across the equal side)... 6…
if a=b, then a+c=b+c
Commutative Property
a+b=b+a
Reflexive Property
for any real #a, a=a... 3=3 or a+b+2=a+b+2
134 terms
Number Properties
Prime Numbers:... 0x
Prime Numbers:... 1x
Prime Numbers:... 2x
Prime Numbers:... 3x
2,3,5,7
11,13,17,19
23,29
31,37
Prime Numbers:... 0x
2,3,5,7
Prime Numbers:... 1x
11,13,17,19
14 terms
Number Properties
commutative property of addition
commutative property of multiplication
associative property of addition
Associative property of multiplication
a+b = b+a Ex 2+3=3+2
ab=ba Ex 2 times 3 = 3 times 2
(a+b)+c = a+(b+c)
(ab)c=a(bc)
commutative property of addition
a+b = b+a Ex 2+3=3+2
commutative property of multiplication
ab=ba Ex 2 times 3 = 3 times 2
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
Even x even
Even x odd
Odd x odd
Even ^ positive integer
Even
Even
Odd
Even
Even x even
Even
Even x odd
Even
10 terms
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)
8 terms
Number Properties
Commutative
Associative
Additive Identity
Substitution
The order for adding or multiplying numbers does not matter;…
The terms in addition or multiplication problems can be assoc…
The value (identity) of a number, term, expression is not cha…
Replacing a variable in a term or expression with a number to…
Commutative
The order for adding or multiplying numbers does not matter;…
Associative
The terms in addition or multiplication problems can be assoc…
8 terms
Number Properties
Comutative
Associative
Distributive
Transitive
Changing the order of numbers.... Addition ... Multiplication
Regrouping doesn't change the result... 2+(3+5) = (5+2)+3
The number in the outside is multiplied by the one in the ins…
If 3+5=a and 2+6=b than a=b
Comutative
Changing the order of numbers.... Addition ... Multiplication
Associative
Regrouping doesn't change the result... 2+(3+5) = (5+2)+3
22 terms
Number properties
Set
Integers
The square root of a number is an inte…
The quotient of two numbers is an inte…
group of numbers
Positives, Negatives and Zero
The number is a perfect square
The numbers are multiples/factors of one another
Set
group of numbers
Integers
Positives, Negatives and Zero
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
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
20 terms
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
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…
61 terms
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
11 terms
Properties of Numbers
Commutative property of addition
Commutative property of multiplication
Associative property of addition
Associative property of Multiplication
a+b=b+a
ab=ba
(a+b)+c=a+(b+c)
(ab)c=a(bc)
Commutative property of addition
a+b=b+a
Commutative property of multiplication
ab=ba
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
46 terms
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
11 terms
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)
15 terms
Properties of Numbers
Commutative Property of Addition
Associative Property of Addition
Identity Property of Addition
Inverse Property of Addition
Numbers can be added in any order; the sum will always be the…
The grouping of numbers being added does not matter the sum w…
If zero is added to any number the sum will be that number
The sum of a number and its opposite will be zero
Commutative Property of Addition
Numbers can be added in any order; the sum will always be the…
Associative Property of Addition
The grouping of numbers being added does not matter the sum w…
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
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
24 terms
Properties of Numbers
Associative Property (words)
Associative Property (+)
Associative Property (x)
Commutative Property (words)
In addition or multiplication, numbers can be grouped in any…
(a + b) + c = a + (b + c)
(a×b)×c = a×(b×c)
In addition and multiplication, numbers can be computed in an…
Associative Property (words)
In addition or multiplication, numbers can be grouped in any…
Associative Property (+)
(a + b) + c = a + (b + c)
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)
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
30 terms
Real Number Properties
Additive Identity
Commutative Addition
Commutative Multiplication
Distributive
0+(-9)=-9
8+3+7=3+8+7
bcd=cdb
y(y+4)=(y)(y)+(y)(4)
Additive Identity
0+(-9)=-9
Commutative Addition
8+3+7=3+8+7
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