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Sets of Numbers
Vocab
Properties of Real Numbers
Properties of Absolute Value
All Topics
100
{1,2,3,4...}
Natural Numbers are?
100
(blank) is the sum or product of two real numbers is a real number.
Closure property
100
a x 1/a=1 and 1/a x a=1
Inverse Properties
100
The absolute value of a real number is positive or 0.
|a| is greater than or equal to 0
100
sqrt of 12 is an example of?
An Integer
200
x is a real number but not rational
Irrational Numbers?
200
1 and 6 is an example of
Natural Numbers
200
a + 0 =a and 0 + a=a
Identity Property
200
The absolute value of a real number and its opposite are equal
|-a|=a
200
a+b=b+a ab=ba
Commutative Property is?
300
{....,-3,-2,-1,0,1,2,3,....}
Integers are?
300
{-8,-6,-12/4,-3/4,0,3/8,1/2,1,sqrt 2,sqrt 5,6}
Real Numbers
300
a x 1=a 1 x a =a
Identity Property
300
2|(-6)|-|3(10)|/ |(-6)(10)|
-3/10
300
(a+b)+c = a+(b+c) (ab)c=a(bc)
Associative Property
400
x corresponds to a point on a number line
Real Numbers?
400
d(P,Q) = |b-a| or d(P,Q)=|a-b|
Distance between Points on a Number Line
400
a+(-a)=0 and -a+a=0
Inverse Property
400
|2(6)-3(10)|
42
400
|a| x |b|=|ab|
the product of the absolute values of two real numbers equals he absolute value of their product.
500
{p/q | p and q are integers and q is not equal to zero
Rational Numbers
500
a^n= a x a x a x a ...... x a
What is an exponential notation?
500
a(b+c)=ab+ac a(b-c)=ab-ac
Distributive Property
500
|a+b| is less than or equal to |a| + |b|
The absolute value of the sum of two real numbers is less than or equal to the sum of their absolute values.
500
|-10| =?
10