Study sets matching "real number properties"

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Study sets matching "real number properties"

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
14 terms
Real Numbers/ Properties of Real Numbers
Rational Numbers
Natural Numbers
Integers
Whole Numbers
Any number that can be written as a ratio which means it can…
Positive integers and sometimes 0
The number 0 is neither negative or positive. Two of these ar…
a number without a fraction; an integer
Rational Numbers
Any number that can be written as a ratio which means it can…
Natural Numbers
Positive integers and sometimes 0
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
9 terms
Properties of real numbers
commutative +
commutative x
Associative +
Associative x
2 + 3 = 3 + 2
2 x 3 = 3 x 2
(2 + 3 ) + 4 = 2 + ( 3 + 4 )
(2 x 3 ) x 4 = 2 x ( 3 x 4 )
commutative +
2 + 3 = 3 + 2
commutative x
2 x 3 = 3 x 2
10 terms
Properties of Real Numbers
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Addition
Associative Property of Multiplication
commute = move to a new place when adding
commute = move to a new place when multiplying
associate = regroup the terms that are associated with each o…
associate = regroup the factors that are associated with each…
Commutative Property of Addition
commute = move to a new place when adding
Commutative Property of Multiplication
commute = move to a new place when multiplying
2 terms
Properties of real numbers
commutative property of multiplication
Associative property of addition
2 x 3 = 3 x 2
(2 + 3 ) + 4 = 2 + ( 3 + 4 )
commutative property of multiplication
2 x 3 = 3 x 2
Associative property of addition
(2 + 3 ) + 4 = 2 + ( 3 + 4 )
31 terms
real numbers and real number properties
rational numbers
integers
whole
natural
6.1, 1/4
-1, 0, 1
0, 1, 2
1, 2, 3
rational numbers
6.1, 1/4
integers
-1, 0, 1
10 terms
Properties of Real Numbers
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Addition
Associative Property of Multiplication
8 + 6 = 6 + 8
8 x 6 = 6 x 8
2 + (3 + 7) = (2 + 3) + 7
2 x (3 x 7) = (2 x 3) x 7
Commutative Property of Addition
8 + 6 = 6 + 8
Commutative Property of Multiplication
8 x 6 = 6 x 8
19 terms
Real number vocabulary and properties
counting numbers
whole numbers
integers
rational numbers
{1, 2, 3, 4, ...}
{0, 1, 2, 3, 4, ...}
{... -3, -2, -1, 0, 1, 2, 3...}
any number that can be expressed as a ratio of two integers
counting numbers
{1, 2, 3, 4, ...}
whole numbers
{0, 1, 2, 3, 4, ...}
10 terms
Properties of Real Numbers
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Addition
Associative Property of Multiplication
commute = move to a new place when adding
commute = move to a new place when multiplying
regroup - elements do not move, they group with a new friend…
regroup - elements do not move, they group with a new friend…
Commutative Property of Addition
commute = move to a new place when adding
Commutative Property of Multiplication
commute = move to a new place when multiplying
Properties of Real Numbers (Properties)
closure
commutative
associative
identity
a+b is a real number, ab is a real number
a+b=b+a, ab=ba
(a+b)+c=a+(b+c), (ab) x c =a x (bc)
a+0=0, 0+a=0 OR 1 x a=a, a + 1=a
closure
a+b is a real number, ab is a real number
commutative
a+b=b+a, ab=ba
Properties of Real Numbers
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Addition
Associative Property of Multiplication
Changing the Order... a+b = b+a
Changing the Order... ab = ba
Moving Parentheses - keep order the same... (a+b)+c = a+(b+c)
Moving Parentheses - keep order the same... (ab)c = a(bc)
Commutative Property of Addition
Changing the Order... a+b = b+a
Commutative Property of Multiplication
Changing the Order... ab = ba
Real Number Properties
2 + x = x + 2
(-5 + y) + 11 = -5 + (y + 11)
(-5 + y) + 11 = 11 + (-5 + y)
23 + 0 = 23
commutative property of addition
associative property of addition
commutative property
additive identity property
2 + x = x + 2
commutative property of addition
(-5 + y) + 11 = -5 + (y + 11)
associative property of addition
Real Number Properties
commutative property
associative property
identity property
Inverse property
Addition Multiplication... a+b=b+a a times b= b times a
Addition Multiplication... (a+b) +c= a + (b+c) (a times b) times…
Addition Multiplication... a + 0 = a = 0 + a a times 1 = a = 1 t…
Addition Multiplication... a + (-a) = 0 = (-a) + a a times 1/a =…
commutative property
Addition Multiplication... a+b=b+a a times b= b times a
associative property
Addition Multiplication... (a+b) +c= a + (b+c) (a times b) times…
7 terms
Real Number Properties
Commutative Property
Associative Property
Distributive Property
Inverse Property of Addition
Allows numbers to switch places when adding or multiplying. 4…
Hfhhyfhyfhyfyhf
...
...
Commutative Property
Allows numbers to switch places when adding or multiplying. 4…
Associative Property
Hfhhyfhyfhyfyhf
7 terms
Real Number Properties
Commutative Property
Associative Property
Distributive Property
Identity of Addition
Numbers switch places around multiplication and addition... 3…
Numbered are REGROUPED, they do NOT switch places... (4 x 2)6…
Multiply the number/variable outside the grouping symbol by e…
The number that when added or subtracted to a number results…
Commutative Property
Numbers switch places around multiplication and addition... 3…
Associative Property
Numbered are REGROUPED, they do NOT switch places... (4 x 2)6…
26 terms
Properties of Real Numbers
Commutative Property of Addition (1)
Additive Identity (1)
Zero Property of Multiplication (1)
Associative Property of Addition (2)
(b + 8) + 1 = (8 + b) + 1
7c + 0 = 7c
27 + 6a × 0 = 27 + 0
(-1 + 4) + 7 = -1 + (4 + 7)
Commutative Property of Addition (1)
(b + 8) + 1 = (8 + b) + 1
Additive Identity (1)
7c + 0 = 7c
31 terms
Real Number Properties
7 + g = g + 7
(ab)c = a(bc)
6 + 0 = 6
-20 x 1 = -20
Commutative property of addition
Associative property of multiplication
Additive identity property
Multiplicative identity property
7 + g = g + 7
Commutative property of addition
(ab)c = a(bc)
Associative property of multiplication
Real Number Properties
7 + g = g + 7
(ab)c = a(bc)
6 + 0 = 6
-20 x 1 = -20
Commutative property of addition
Associative property of multiplication
Additive identity property
Multiplicative identity property
7 + g = g + 7
Commutative property of addition
(ab)c = a(bc)
Associative property of multiplication
11 terms
Real Number Properties
commutative addition
commutative multiplication
associative addition
associative multiplication
a + b = b + a
a b = b a
(a + b)+ c = a + (b + c)
(a b) c = a (b c)
commutative addition
a + b = b + a
commutative multiplication
a b = b a
25 terms
Real Number Properties
Commutative Property
Identity of Multiplication
Distributive Property
Associative Property
4 x 7 = 7 x 4
17 = 1 x 17
6(3 - r) = 6(3) - 6(r)
5(4(9)) = (5(4))9
Commutative Property
4 x 7 = 7 x 4
Identity of Multiplication
17 = 1 x 17
Real Number Properties
Additive Identity Property
Multiplicative Identity Property
Distributive Property
Additive Inverse Property
1 + 0 = 1
5 x 1 = 5
3(t + 2) = 3t + 6
7 + -7 = 0
Additive Identity Property
1 + 0 = 1
Multiplicative Identity Property
5 x 1 = 5
16 terms
Real Number Sets and Properties
Natural Numbers (N)
Whole Numbers (W)
Integers (Z)
Rational Numbers (Q)
1, 2, 3, 4........
0, 1, 2, 3........
..... -2, -1, 0, 1, 2.........
1/2, 1.4, -3/5,
Natural Numbers (N)
1, 2, 3, 4........
Whole Numbers (W)
0, 1, 2, 3........
17 terms
Properties of Real Numbers - Definitions
Associative Property of Addition
Commutative Property of Additions
Additive Identity Property
Additive Inverse Property
When adding more than two numbers we can "group" any two numb…
We can add numbers in any "order".... a + b = b + a
Zero added to any number is the number itself.... a + 0 = a or 0…
The sum of a number and its opposite is zero.... a + (-a) = 0 or…
Associative Property of Addition
When adding more than two numbers we can "group" any two numb…
Commutative Property of Additions
We can add numbers in any "order".... a + b = b + a
16 terms
Real Number Sets and Properties
Natural Numbers
Whole Numbers
Integers
Rational Numbers
1, 2, 3, 4........
0, 1, 2, 3........
..... -2, -1, 0, 1, 2.........
1/2, 1.4, -3/5,
Natural Numbers
1, 2, 3, 4........
Whole Numbers
0, 1, 2, 3........
9 terms
Real Number Properties
8 x 1 = 8
4 + 0 = 4
-5 ∙ 3 = 3 ∙ (-5)
(7 + 4) + 2 = 7 + (4 + 2)
Identity property of multiplication
Identity property of addition
Commutative property of multiplication
Associative property of addition
8 x 1 = 8
Identity property of multiplication
4 + 0 = 4
Identity property of addition
14 terms
Real Numbers/ Properties of Real Numbers
Rational Numbers
Natural Numbers
Integers
Whole Numbers
Any number that can be written as a ratio which means it can…
Positive integers
The number 0 is neither negative or positive. Two of these ar…
a number without a fraction; an integer
Rational Numbers
Any number that can be written as a ratio which means it can…
Natural Numbers
Positive integers
18 terms
Properties of Real Numbers
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Addition
Associative Property of Multiplication
Changing the Order... a+b = b+a
Changing the Order... ab = ba
Moving Parentheses - keep order the same... (a+b)+c = a+(b+c)
Moving Parentheses - keep order the same... (ab)c = a(bc)
Commutative Property of Addition
Changing the Order... a+b = b+a
Commutative Property of Multiplication
Changing the Order... ab = ba
20 terms
Properties of real numbers
3 + 2 = 2 + 3
5 * 9 = 9 * 5
x + 3 = 3 + x
π + 9 = 9 + π
commutative property
commutative property
commutative property
commutative property
3 + 2 = 2 + 3
commutative property
5 * 9 = 9 * 5
commutative property
Properties of Real Numbers
Commutative Property
Distributive Property
Associative Property
Identity Property
The property that says that two or more numbers can be added…
A property indicating a special way in which multiplication i…
Changing the grouping of numbers will NOT change the value. F…
The property that states that the product/sum of 1/0 and any…
Commutative Property
The property that says that two or more numbers can be added…
Distributive Property
A property indicating a special way in which multiplication i…
11 terms
Properties of Real Numbers
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Addition
Associative Property of Multiplication
The order of the addends does not matter when adding. Ex: a+b…
The order of the factors does not matter when multiplying. Ex…
the way in which you group three or more numbers when adding…
Changing the grouping of three or more factors does not chang…
Commutative Property of Addition
The order of the addends does not matter when adding. Ex: a+b…
Commutative Property of Multiplication
The order of the factors does not matter when multiplying. Ex…
Properties of Real Numbers
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Addition
Associative Property of Multiplication
commute = move to a new place when adding
commute = move to a new place when multiplying
associate = regroup the terms that are associated with each o…
associate = regroup the factors that are associated with each…
Commutative Property of Addition
commute = move to a new place when adding
Commutative Property of Multiplication
commute = move to a new place when multiplying
9 terms
Properties of real numbers
commutative +
commutative x
Associative +
Associative x
2 + 3 = 3 + 2
2 x 3 = 3 x 2
(2 + 3 ) + 4 = 2 + ( 3 + 4 )
(2 x 3 ) x 4 = 2 x ( 3 x 4 )
commutative +
2 + 3 = 3 + 2
commutative x
2 x 3 = 3 x 2
Properties of Real Numbers
Distributive Property
Inverse of Multiplication
Inverse of Addition
Commutative of Addition
21x+14 = 7 (3x+2)
2 + (-2) = 0
8g + 9 = 9 + 8g
Distributive Property
21x+14 = 7 (3x+2)
Inverse of Multiplication
10 terms
Properties of real numbers
Commutative property of addition
Commutative property of multiplication
Associative property of addition
Associative property of Multiplication
a(c+b)=a(b+c)
a(c+b)=(c+b)a
(a+b)+c=a+(b+c)
(ab)c=a(bc)
Commutative property of addition
a(c+b)=a(b+c)
Commutative property of multiplication
a(c+b)=(c+b)a
10 terms
Properties of Real Numbers
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Addition
Associative Property of Multiplication
commute = move to a new place when adding
commute = move to a new place when multiplying
associate = regroup the terms that are associated with each o…
associate = regroup the factors that are associated with each…
Commutative Property of Addition
commute = move to a new place when adding
Commutative Property of Multiplication
commute = move to a new place when multiplying
5 terms
Properties of real numbers
Distributive property of Multiplicatio…
Distributive property of Multiplicatio…
Multiplicative Identity of Addition
Identity property of Multiplication
To multiply a sum by a number, you can multiply each addend b…
To multiply a difference by a number, you can multiply the su…
The product of one and a number is that number.
The product of one and a number is that number.
Distributive property of Multiplicatio…
To multiply a sum by a number, you can multiply each addend b…
Distributive property of Multiplicatio…
To multiply a difference by a number, you can multiply the su…
Properties of Real Numbers - MB
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Addition
Associative Property of Multiplication
The order of the addends does not matter when adding. Ex: a+b…
The order of the factors does not matter when multiplying. Ex…
the way in which you group three or more numbers when adding…
Changing the grouping of three or more factors does not chang…
Commutative Property of Addition
The order of the addends does not matter when adding. Ex: a+b…
Commutative Property of Multiplication
The order of the factors does not matter when multiplying. Ex…
30 terms
Properties of Real Numbers
Associative Property of Addition
Associative Property of Multiplication
Distributive Property
Inverse
Allows you to re-group addends using grouping symbols:... ( ) o…
Allows you to re-group number factors using grouping symbols:…
Multiplying the factor outside the parentheses by every term…
another word for "opposite"
Associative Property of Addition
Allows you to re-group addends using grouping symbols:... ( ) o…
Associative Property of Multiplication
Allows you to re-group number factors using grouping symbols:…
Properties of Real Numbers - KM
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Addition
Associative Property of Multiplication
The order of the addends does not matter when adding. Ex: a+b…
The order of the factors does not matter when multiplying. Ex…
the way in which you group three or more numbers when adding…
Changing the grouping of three or more factors does not chang…
Commutative Property of Addition
The order of the addends does not matter when adding. Ex: a+b…
Commutative Property of Multiplication
The order of the factors does not matter when multiplying. Ex…
Properties of real numbers 1
commutative +
commutative x
Associative +
Associative x
2 + 3 = 3 + 2
2 x 3 = 3 x 2
(2 + 3 ) + 4 = 2 + ( 3 + 4 )
(2 x 3 ) x 4 = 2 x ( 3 x 4 )
commutative +
2 + 3 = 3 + 2
commutative x
2 x 3 = 3 x 2
Properties of Real Numbers
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Addition
Associative Property of Addition
45 + 12 = 12 + 45
12 x 65 = 65 x 12
2( 4 + 5) = (2 +4) +5
(3 + 7) + 9 = 3 + (7 + 9)
Commutative Property of Addition
45 + 12 = 12 + 45
Commutative Property of Multiplication
12 x 65 = 65 x 12
Math Properties of Real Numbers
Additive Identity
Multiplicative Identity
Commutative Property of Addition
Commutative Property of Multiplication
A number plus zero equals that number... a + 0 = 0
A number times one equals that number... a x 1 = a
Sum remains the same when order is changed around... a + b = b + a
Product remains the same when order is changed around... a x b =…
Additive Identity
A number plus zero equals that number... a + 0 = 0
Multiplicative Identity
A number times one equals that number... a x 1 = a
10 terms
Properties of real numbers
Commutative property of addition
Commutative property of multiplication
Associative property of addition
Associative property of multiplication
(commute = move to new place)... a+b=b+a or 6+4=4+6
(commute = move to new place)... ab=ba or 57=75
(regroup - elements do not move, they group with a new friend…
(regroup - elements do not move, they group with a new friend…
Commutative property of addition
(commute = move to new place)... a+b=b+a or 6+4=4+6
Commutative property of multiplication
(commute = move to new place)... ab=ba or 57=75
17 terms
Math Properties of Real Numbers
Additive Identity
Multiplicative Identity
Commutative Property of Addition
Commutative Property of Multiplication
A number plus zero equals that number... a + 0 = 0
A number times one equals that number... a x 1 = a
Sum remains the same when order is changed around... a + b = b + a
Product remains the same when order is changed around... a x b =…
Additive Identity
A number plus zero equals that number... a + 0 = 0
Multiplicative Identity
A number times one equals that number... a x 1 = a
12 terms
Properties of Real Numbers
Closure +
Closure x
Commutative Prop of Addition
Commutative Prop of Multiplication
a+b= R
a(b)=R
a+b=b+a
a(b)=b(a)
Closure +
a+b= R
Closure x
a(b)=R
Real Number Properties
Commutative Property of Addition
Associative Property of Addition
Identity Property of Addition
Inverse Property of Addition
a + b = b + a
(a + b) + c = a + (b + c)
a + 0 = a
a + -a = 0
Commutative Property of Addition
a + b = b + a
Associative Property of Addition
(a + b) + c = a + (b + c)
8 terms
Real Number Properties
Commutative ... Property of Addition
Commutative Property of Multiplication
Associating 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
31 terms
Real Numbers and Their Properties
Natural Numbers
Whole Numbers
Integers
Rational Numbers
1,2,3,4... the numbers used for counting
Natural numbers and zero; 0, 1, 2, 3...
A set of whole numbers and their opposites.
A real number that can be written as a ratio of two integers.…
Natural Numbers
1,2,3,4... the numbers used for counting
Whole Numbers
Natural numbers and zero; 0, 1, 2, 3...
Real Number Properties
Additive Property of Zero
Additive Property of Zero
Additive Property of Zero
Commutative Property of Addition
a + 0 = 0 + a = a
Means: Zero added to any value is that value
Example: 2 + 0 = 2
a + b = b + a
Additive Property of Zero
a + 0 = 0 + a = a
Additive Property of Zero
Means: Zero added to any value is that value
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