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Real Number System
Terms in this set (140)
Numbers that can't be written as a fraction. Includes decimals that don't end or repeat
Numbers that can be written as a fraction. Includes decimals that end or repeat
Positive and negative whole numbers and zero
Only positive whole numbers and zero
Rational, integer, whole
Rational, integer, whole
Rational, integer, whole
1, 2, 3, 4, 5,....
Sometimes called "counting numbers" (Think of your fingers)
0, 1, 2, 3, 4, 5,...
Remember "whole" has what looks like a "zero" in the middle of the word.
...-4, -3, -2, -1, 0, 1, 2, 3, 4...
All positive and negative numbers, plus the zero
BUT NO FRACTIONS OR DECIMALS!
Any number that can be written as a fraction (a/b) where b is not zero. This includes all terminating or repeating decimal numbers.
Any number that CAN NOT be written as a fraction (non-terminating, non-repeating decimal numbers).
The set of all rational and irrational numbers
π, √2, √5,√10
Irrational numbers, real numbers
0, 1/2, 52.324, 32, 3¾
Rational numbers, real numbers
-46, -30, 167, 3,208
Integers, rational numbers, real numbers
1, 39, 42, 608
natural numbers, whole numbers, integers, rational numbers and real numbers.
the sum of any number and zero will equal the same number
the opposite of a number that will make a sum of zero
changing the grouping does not change their sum or product; (a+b)+c= a+(b+c)
changing the order of the numbers does not change their sum or product; a+b= b+a
terms in an expression can be expanded to form an equivalent expression; a (b+c)= ab + ac
an equation that is true no matter what values are chosen
a number that will not change the original number
all whole numbers (both positive and negative) and zero
operations that undo each other
numbers that can not be expressed as a ratio or fraction
multiplicative property of zero
product of any number and zero is zero (a x 0=0)
any number times one equals that number (Nx1=N)
all positive integers (not including zero)
the set of numbers that includes rational and irrational numbers
the inverse of the numerator and denominator in a fraction; when multiplied by the original fraction, it results in a product that equals one
numbers that can be expressed as a ratio or fraction
all positive integers (including zero)
Counting numbers and zero
Whole numbers and their opposites
Any number that can be expressed as a ratio of two integers
Nonrepeating, nonterminating decimals
True or False: All rational numbers are real numbers.
True or False: All whole numbers are integers.
True or False: All integers are whole numbers.
True or False: Zero is an irrational number.
True or False: The number .262662666266662... is a rational number.
Commutative Property of Addition
Commutative Property of Multiplication
a x b=b x a
Associative Property of Addition
Associative Property of Multiplication
(a x b) x c= a x (b x c)
a(b+c)=ab+ac / a(b-c)=ab-ac
Additive Identity Property
Multiplicative Identity Property
a x 1=a
Additive Inverse Property
Multiplicative Inverse Property
a x 1/a=1
The Closure Property
A set of numbers is closed (under an operation) if and only if the operation on two of the numbers of the set produces another number of the set. If a number outside the set is produced, then the set is not closed.
The set of rational numbers and the set of irrational numbers
A number that when squared it gives a negitive result
Numbers that can be written as a fraction
Negitive and positive natural numbers
Numbers from 0 and up
Numbers from 1 and up. NO ZERO
A decimal that ends
A decimal in which a pattern of one or more digits is repeated indefinitely
The series of numbers that repeat in a repeating decimal
A line that is used in a repeating decimal to indicate the digits that repeat
Numbers that cannot be expressed as a terminating or repeating decimal
A number whose square root is a rational number
Principal Square Root
the non-negitive square root of a number. Radical:a square root sign
the expression that is under the radical sign
The negitive square root of 64
The square root of 28
The square root of 10.24
-54 over 19
Simplify: The Square root of 36 over 81
Square root of 400. Square root of 4
100. square root of 4
the square rooot of 100
The square root of 1/2. The Squaure root of 1 / The square root of 2
The Square root of 200
The Square root of 3/4
square rooot of 3 / 2
The Square root of 20/4
Square root of 5/2
The square root of 32/50
5 square root 2* The square root of 2
3 Square root of 63* the square root of 4
18 square root 7
1/2 Square root of 112
2 square root 7
8 square root 13/19
8 square root 15/3
The square root of 10* the square root of 16/the square root of 5
-2the square root of 5/5
the square root of 48
4 the square root of 3
a=3 b=4 c=?
|5| - 3
number set that includes rational and irrational numbers
number set that includes numbers that cannot be expressed as a fractions; non terminating decimals
number set including all numbers that can be written as a fraction where the denoninator is not equal to zero
all the whole numbers, including zero and their negatives
zero and all the counting numbers from 1 and on
all the whole numbers from 1 and on - does not include zero
also called counting numbers - include all whole numbers from 1 on
a decimal that ends; type of rational number
non terminating decimal
a decimal the never ends and goes on forever; type of irrational number
decimal in which a number or group of numbers continues to repeat. represented as a bar over the repeating numbers
a decimal that doesn't end or repeat. Type of irrational number
example of an irraational number because it cannot be expressed as a fraction, a terminating decimal or repeating decimal
THIS SET IS OFTEN IN FOLDERS WITH...
Symmetry Algebra 2 B
Rational Functions: Negative Exponents
Operations with Complex Numbers assessment
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