Study sets matching "real numbers algebra"

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Study sets matching "real numbers algebra"

Algebra- Real Numbers
Integers
Negative (Integer) Numbers
Positive (Integer) Numbers
Whole Numbers
A set of whole numbers and their opposites.
an integer less than zero
any integer greater than zero
Natural numbers ( counting numbers) and zero; 0, 1, 2, 3...
Integers
A set of whole numbers and their opposites.
Negative (Integer) Numbers
an integer less than zero
11 terms
Algebra- Unit One Real Numbers
terminating decimal
repeating decimal
rational number
irrational number
A decimal number that ends or terminates
A decimal that repeats a digit or group of digits forever
a number that can be expressed as a ratio (fraction) of two i…
a number that cannot be expressed as a ratio of two integers…
terminating decimal
A decimal number that ends or terminates
repeating decimal
A decimal that repeats a digit or group of digits forever
11 terms
Algebra vocabulary/real numbers
Natural numbers
Whole numbers
Integers
Rational numbers
The set of numbers 1, 2, 3, 4, ... Also called counting numbe…
Natural numbers ( counting numbers) and zero; 0, 1, 2, 3...
The set of whole numbers and their opposites
A number that can be written as a ratio [in the form a/b with…
Natural numbers
The set of numbers 1, 2, 3, 4, ... Also called counting numbe…
Whole numbers
Natural numbers ( counting numbers) and zero; 0, 1, 2, 3...
18 terms
Real Numbers-Algebra 2
67
10/3
12/4
.6161616161616161616161616161616161
N W Z Q R
Q R
N W Z Q R
Q R
67
N W Z Q R
10/3
Q R
7 terms
Real Numbers Algebra 1
Natural Numbers
Whole Numbers
Integers
Rational Numbers
Counting numbers 1,2,3,4,5...
natural numbers plus 0 so it is 0,1,2,3,4,5....
whole numbers and their opposites -5,-4, -3, -2, -1, 0, 1,2,3…
is a real number that can be written as a simple fraction (i.…
Natural Numbers
Counting numbers 1,2,3,4,5...
Whole Numbers
natural numbers plus 0 so it is 0,1,2,3,4,5....
15 terms
Properties of Real Numbers- Algebra
COMMUTATIVE Property of Addition ... (com…
COMMUTATIVE Property of Multiplication…
ASSOCIATIVE Property of Addition ... (ass…
ASSOCIATIVE Property of Multiplication…
3 + 5 = 5 +3
9 x 6 = 6 x 9
4 + (6 + 3) = (4 + 6) + 3
7 x (5 x 3) = (7 x 5) x 3
COMMUTATIVE Property of Addition ... (com…
3 + 5 = 5 +3
COMMUTATIVE Property of Multiplication…
9 x 6 = 6 x 9
Algebra: real numbers vocab
Natural number
Whole number
Integer
Rational number
Counting numbers (1,2,3,4....)
Natural numbers and zero
Whole numbers and their opposites
Quotient of two integers (2/3, 3/4) (& all whole numbers)
Natural number
Counting numbers (1,2,3,4....)
Whole number
Natural numbers and zero
H Algebra Real Numbers
real R
rational Q
irrational I
integer Z
all numbers on the number line
any integer that can be expressed as ratios of two integers
numbers that cannot be expressed as terminating or repeating…
all whole numbers
real R
all numbers on the number line
rational Q
any integer that can be expressed as ratios of two integers
15 terms
Algebra 2: Real Numbers
integer
whole
rational
irrational
whole numbers and their opposites (-2, -3, -1, 0, 1, 2, 3)
zero and up (0, 1, 2, 3, 4)
any number that can be written as a ratio (a/b, cannot =0)
cannot be written as a ratio (pi)
integer
whole numbers and their opposites (-2, -3, -1, 0, 1, 2, 3)
whole
zero and up (0, 1, 2, 3, 4)
Real Numbers Algebra Vocabulary
Rational Numbers
Terminating Decimal
Repeating Decimal
Ration
...
...
...
...
Rational Numbers
...
Terminating Decimal
...
7 terms
Algebra 1: Real Numbers
Real numbers
Natural numbers
Integers
Rational numbers
all the numbers that can be represented on a number line
all the counting numbers such as 1, 2, 3...
all the whole numbers and their opposites, such as 1, -1, 2,…
the numbers that can be expressed in the form a/b, where a an…
Real numbers
all the numbers that can be represented on a number line
Natural numbers
all the counting numbers such as 1, 2, 3...
Algebra 2B - Real Numbers
1,384 is:
pie is
-0.28764 . . . is:
0 is:
Rational
Irrational
Irrational
Rational
1,384 is:
Rational
pie is
Irrational
Algebra 1: Real Numbers
Integer
Irrational
Rational
Whole
Positive and negative numbers and 0 with no decimals
Any number that can't be written as a fraction
Any number that can be written as a fraction
Positive integers and zero
Integer
Positive and negative numbers and 0 with no decimals
Irrational
Any number that can't be written as a fraction
11 terms
Algebra: properties of real numbers
Communitive property of addition
Communitive 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)
Communitive property of addition
a+b=b+a
Communitive property of multiplication
ab=ba
37 terms
Algebra: Exploring real numbers
Natural numbers are
Whole numbers are
Another way to define whole numbers is
Integers are
the counting numbers 1,2,3,...
the NON negative integers 0,1,2,3,...
the counting numbers plus zero!!
whole numbers and their opposite ...-2,-1,0,1,2,...
Natural numbers are
the counting numbers 1,2,3,...
Whole numbers are
the NON negative integers 0,1,2,3,...
Algebra- real number systems
What is the real number symbol?
What is a real number?
What is the irrational number symbol?
What is an irrational number?
R
any number on the number line; includes decimals and integers
IRR
any real number that ... cannot be expressed as a ratio of... integ…
What is the real number symbol?
R
What is a real number?
any number on the number line; includes decimals and integers
28 terms
Chapter 2 Algebra Properties of real numbers
real numbers
real number line
origin
negative numbers
the set of numbers that includes rational and irrational numb…
real numbers pictured as points on a line
The point labeled 0.
A number less than 0. On a number line, negative numbers are…
real numbers
the set of numbers that includes rational and irrational numb…
real number line
real numbers pictured as points on a line
algebra all real numbers
natural
whole
integers
rational
1,2,3,4,5,6
0,1,2,3,4,5,6
-1,-4,-6,0,3,6,
7/5,-3/2,0,0.3,-1.2,9
natural
1,2,3,4,5,6
whole
0,1,2,3,4,5,6
5 terms
Algebra 1: real numbers
Natural
Whole
Integer
Rational
1,2,3,4...
0,1,2,3,4
...-3,-2,-1,0,1,2,3...
1/3,2/9,.15,.6,.8136
Natural
1,2,3,4...
Whole
0,1,2,3,4
Algebra 1 Real Numbers
rational
irrational
integers
whole
repeating or ending
non repeating or non ending
any non decimal
any positive non decimal
rational
repeating or ending
irrational
non repeating or non ending
Algebra II: Real Numbers
real numbers
rationals
irrationals
integers
R
Q
I
Z
real numbers
R
rationals
Q
10 terms
Algebra 1 Real Numbers
real numbers
integers
natural numbers
whole numbers
all rational and irrational numbers
natural numbers, zero, and the negatives of natural numbers
the counting numbers
natural numbers together with zero
real numbers
all rational and irrational numbers
integers
natural numbers, zero, and the negatives of natural numbers
Algebra Real Numbers
Integer
Irrational
Whole
Natural
All whole numbers and their opposites (negatives)
Any number that cannot be represented as a ratio (fraction)
All natural numbers and 0
All counting numbers
Integer
All whole numbers and their opposites (negatives)
Irrational
Any number that cannot be represented as a ratio (fraction)
Real Numbers (Algebra)
Rational numbers
Integers
Whole numbers
Natural numbers
Any number you can write as a fraction
Positive & negative whole numbers
Positives and zero
Counting numbers, numbers that babies/toddlers know
Rational numbers
Any number you can write as a fraction
Integers
Positive & negative whole numbers
6 terms
Algebra 1 real numbers
Real
Rational
Integers
Whole
Any number you've seen so far in math
Q: any number that can be written as a fraction
Z: counting numbers, positive, negative and zero
W: zero and positive counting numbers
Real
Any number you've seen so far in math
Rational
Q: any number that can be written as a fraction
Algebra 2 - Real Numbers
Irrational (IRR)
Natural Numbers (N)
Whole Numbers (W)
Integers (Z)
non-repeating, non-terminating... example: pi, e, the square ro…
1,2,3...
0,1,2,3...
+ and - whole numbers ... example: -3,-2,-1,0,1,2,3
Irrational (IRR)
non-repeating, non-terminating... example: pi, e, the square ro…
Natural Numbers (N)
1,2,3...
13 terms
algebra- real numbers
addition property of equality
multiplication property of equality
cancellation property of addition
cancellation property of multiplication
adding a real number to each side of a true equation produces…
multiplying each side of a true corrasion by nonzero real num…
subtracting a real number from each side of a true equation p…
dividing is number vituperation by a nonzero number produces…
addition property of equality
adding a real number to each side of a true equation produces…
multiplication property of equality
multiplying each side of a true corrasion by nonzero real num…
5 terms
algebra 2 real numbers
natural/ counting numbers
whole numbers
integers
rational numbers
1 2 3 4 5....
0 1 2 3 4 5...
-3 -2 -1 0 1 2 3
fractions.... predict next digit. .12512512... perfect square 25=…
natural/ counting numbers
1 2 3 4 5....
whole numbers
0 1 2 3 4 5...
5 terms
Real Numbers - Algebra 2
Irrational Number
Rational Number
Integers
Whole Number
number with a decimal that DOES NOT repeat
number with terminating/repeating decimal
all negative numbers through positive
zero through positive numbers
Irrational Number
number with a decimal that DOES NOT repeat
Rational Number
number with terminating/repeating decimal
6 terms
Algebra: Real Numbers
Natural Numbers
Whole numbers
Integers
Rational Numbers
the counting numbers
the set of counting numbers plus zero
natural and whole numbers and their opposites ( negatives)
decimals or fractions
Natural Numbers
the counting numbers
Whole numbers
the set of counting numbers plus zero
6 terms
algebra 1--real numbers
counting numbers
whole numbers
integers
rational
(natural) 1/2/3...
0/1/2/3...
(positive, negative, & whole numbers) -2/-1/0/1/2...
any number that can be written in fraction form (a/b) 2/1=2,…
counting numbers
(natural) 1/2/3...
whole numbers
0/1/2/3...
26 terms
Algebra~ Real Numbers, Properties
Natural (Counting) Numbers
Whole Numbers
Integers
Rational Number
1, 2, 3, 4...
0, 1, 2, 3...
...-2, -1, 0, 1, 2...
Any number that terminates or repeats itself; any number that…
Natural (Counting) Numbers
1, 2, 3, 4...
Whole Numbers
0, 1, 2, 3...
9 terms
Algebra- Real Numbers
Integers
Negative (Integer) Numbers
Positive (Integer) Numbers
Whole Numbers
A set of whole numbers and their opposites.
an integer less than zero
any integer greater than zero
Natural numbers ( counting numbers) and zero; 0, 1, 2, 3...
Integers
A set of whole numbers and their opposites.
Negative (Integer) Numbers
an integer less than zero
6 terms
Algebra-Real numbers:
Regular
Rational
Integer
Irrational
Both rational and irrational numbers
+/- ; whole #; fraction; decimal
+/-; whole #
Pi, most square root
Regular
Both rational and irrational numbers
Rational
+/- ; whole #; fraction; decimal
Properties of Real Numbers (Algebra)
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
Algebra Real Numbers
Q
W
Z
N
Rational
Whole
Integers
Natural
Q
Rational
W
Whole
6 terms
Algebra properties of real numbers
Closure (all terms also apply to multi…
Commutative
Associative
Identity
a + b is a real number
a + b = b+ a
(a +b) + c = a + (b + c)
a + 0 = a, 0 + a = a
Closure (all terms also apply to multi…
a + b is a real number
Commutative
a + b = b+ a
11 terms
Algebra Properties of Real Numbers
Closure of Addition
Closure of Multiplication
Commutative of Addition
Commutative of Multiplication
a+b=real number
ab=real number
a+b=b+a
ab=ba
Closure of Addition
a+b=real number
Closure of Multiplication
ab=real number
Real Numbers Algebra II
rational number
irrational number
integers
whole numbers
a number that can be written as a fraction; decimals that end…
a number that can't be written as a fraction; pi; any square…
not fractions or decimals, but are negative and positive INCL…
subset of integers; includes zero; no decimals or fractions;…
rational number
a number that can be written as a fraction; decimals that end…
irrational number
a number that can't be written as a fraction; pi; any square…
11 terms
Algebra: The Real Numbers System
natural numbers
natural numbers
whole numbers
whole numbers
positive whole numbers
counting numbers
non negative integers
natural numbers and zero
natural numbers
positive whole numbers
natural numbers
counting numbers
7 terms
Properties of Real Numbers- Algebra
COMMUTATIVE Property of Addition ... (com…
COMMUTATIVE Property of Multiplication…
ASSOCIATIVE Property of Addition ... (ass…
ASSOCIATIVE Property of Multiplication…
3 + 5 = 5 +3
9 x 6 = 6 x 9
4 + (6 + 3) = (4 + 6) + 3
7 x (5 x 3) = (7 x 5) x 3
COMMUTATIVE Property of Addition ... (com…
3 + 5 = 5 +3
COMMUTATIVE Property of Multiplication…
9 x 6 = 6 x 9
12 terms
Algebra-properties of real numbers
comm. of add
comm. of mult
assoc. of add
assoc. of mult
flip flop- a+b=b+a
flip flop-ab=ba
rearrange grouping symbols- (a+b)+c=a+(b+c)
rearrange grouping symbols- (ab)c=a(bc)
comm. of add
flip flop- a+b=b+a
comm. of mult
flip flop-ab=ba
10 terms
Algebra 1a The properties of real numbers
Commutative property
Associative property
Distributive property
Additive Identity
2x3 = 3x2... 2+3 = 3+2 , The order of two numbers may be switche…
(a+b) +c = a+(b+c) , Changing the grouping of numbers will NO…
a(b+c) = a(b)+a(c)
Zero added or subtracted to any number = itself... 4+0= 4 ... 4x1= 4
Commutative property
2x3 = 3x2... 2+3 = 3+2 , The order of two numbers may be switche…
Associative property
(a+b) +c = a+(b+c) , Changing the grouping of numbers will NO…
Algebra II Real Numbers
Which algebraic expression represents…
Which algebraic expression represents…
Which number is an integer?
Which of the following gives all of th…
x - 6
-8... ----... g+3
0
the set of all natural numbers, the set of all integers, and…
Which algebraic expression represents…
x - 6
Which algebraic expression represents…
-8... ----... g+3
16 terms
Algebraic Properties of Real Numbers
Commutative Property
Additive and Multiplicative Identity
Multiplicative Inverse
Additive Inverse
If two terms are added or multiplied, the order is reversible.
Any term added to zero remains unchanged. The Multiplicative…
Stated that when multiplying a term by its reciprocal, the re…
States that when opposites are added, the result is always ze…
Commutative Property
If two terms are added or multiplied, the order is reversible.
Additive and Multiplicative Identity
Any term added to zero remains unchanged. The Multiplicative…
Classification of Real Numbers/Properties of Algebra
Real Numbers
Rational Numbers
Irrational Numbers
Intergers
All rational and irrational numbers
All integers written in fractions... -intergers Ex. 1/2, 7/12, 2…
Any square root that can be simplified... -non terminating, non…
Whole numbers, their opposites and zero... -Ex. -4, -3, -2, -1,…
Real Numbers
All rational and irrational numbers
Rational Numbers
All integers written in fractions... -intergers Ex. 1/2, 7/12, 2…
Real numbers ( Algebra )
Integers
Natural numbers
Irrational
Whole numbers
Whole numbers and negatives ( Not negative fractions ) Ex: 1,…
Counting numbers ( 1,2,3, etc..)
Non perfect squares ( 27, 21, 3 ) a number that never stops,…
A number that is not a fraction
Integers
Whole numbers and negatives ( Not negative fractions ) Ex: 1,…
Natural numbers
Counting numbers ( 1,2,3, etc..)
Algebra || : Real Number Properties
Communtative
Associative
Identity
Inverse
a+b = b+a
(a+b)+c = a+(b+c)
a+0 = a = 0+a
a+(-a) = 0 = (-a)+a
Communtative
a+b = b+a
Associative
(a+b)+c = a+(b+c)
23 terms
Algebra- Real Numbers/ Properties of Numbers
Natural (Counting) Numbers
Whole Numbers
Integers
Rational Number
1,2,3,4...
0,1,2,3,4...
...-3, -2, -1, 0, 1, 2...
Any number that can be expressed as the quotient a/b where "b…
Natural (Counting) Numbers
1,2,3,4...
Whole Numbers
0,1,2,3,4...
10 terms
Algebra - Properties of Real Numbers
Commutative Property (addition)
Associative Property (addition)
Identity Property (addition)
Additive Inverse Property
You can switch the order of the numbers... example : 3+6 = 6+3
You can switch the parenthesis... example: (1+2)+5 = 1+ (2+5)
If you add 0 to any number, the number stays the same ... exampl…
When you add a number and its inverse (opposite) the answer i…
Commutative Property (addition)
You can switch the order of the numbers... example : 3+6 = 6+3
Associative Property (addition)
You can switch the parenthesis... example: (1+2)+5 = 1+ (2+5)
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