Number+Sets

 **__Marked 01/02/09__** = Created By: Tanya,Brad,Liam,Michael = =Number Sets Are A Way To Distinguish Between Different Kinds Of Numbers.= =There are 6 basic Number Sets, And 1 not so basic Number Set...= = = =Basic:=



=__ Integers  __=   = Examples:  =   = ...-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5... = = = 



 = <span style="color: rgb(68,231,8);"><span style="color: rgb(133,0,255);">Integers Are All Negative And All Postitve Numbers. That includes 0. = <span style="color: rgb(68,231,8);"> <span style="color: rgb(68,231,8);"> = <span style="color: rgb(68,231,8);"><span style="color: rgb(133,0,255);">Symbol  = = <span style="color: rgb(68,231,8);"><span style="color: rgb(133,0,255);">Z  = = = <span style="color: rgb(192,70,246);"> =__ <span style="color: rgb(201,7,202);">Natural Numbers __= <span style="color: rgb(201,7,202);"> <span style="color: rgb(201,7,202);"> = <span style="color: rgb(201,7,202);">Examples: = <span style="color: rgb(201,7,202);"> <span style="color: rgb(201,7,202);"> = <span style="color: rgb(201,7,202);">1,2,3,4,5,6,7,8,9,10 ... = = = <span style="color: rgb(201,7,202);"> <span style="color: rgb(201,7,202);"> = <span style="color: rgb(201,7,202);">Natural Numbers Are All Numbers Starting from 1 and going on forever. Does Not Include Negative Numbers or Zero. =

= <span style="color: rgb(201,7,202);">Symbol = = <span style="color: rgb(201,7,202);">N = = = <span style="color: rgb(152,46,245);"> =__ <span style="color: rgb(4,144,143);">Whole Numbers __= <span style="color: rgb(4,144,143);"> <span style="color: rgb(4,144,143);"> = <span style="color: rgb(4,144,143);">Examples: = <span style="color: rgb(4,144,143);"> <span style="color: rgb(4,144,143);"> = <span style="color: rgb(4,144,143);">0,1,2,3,4,5,6,7,8,9,10... = = = <span style="color: rgb(4,144,143);"> <span style="color: rgb(4,144,143);"> = <span style="color: rgb(4,144,143);">Whole Numbers are any numbers starting from zero.It does not iclude negatives, and decimals = = <span style="color: rgb(4,144,143);"> = = <span style="color: rgb(4,144,143);"> <span style="color: rgb(4,144,143);">Symbol  = <span style="color: rgb(4,144,143);"> <span style="color: rgb(4,144,143);"> <span style="color: rgb(4,144,143);"> = <span style="color: rgb(4,144,143);">W = = = <span style="color: rgb(180,57,239);"> =__ <span style="color: rgb(11,244,110);"> <span style="color: rgb(80,0,255);">Rational Numbers   __= =<span style="color: rgb(80,0,255);"> = <span style="color: rgb(11,244,110);"> <span style="color: rgb(11,244,110);"> = <span style="color: rgb(11,244,110);"><span style="color: rgb(80,0,255);">Rational numbers are number that can b used as ratio of two integers, where the divisor is not 0 and rational numbers are numbers in the form A/B, where b cannot be zero. It includes all fractions, all integers, all terminating decimans and all repeating decimals. = =<span style="color: rgb(80,0,255);"> = <span style="color: rgb(11,244,110);"> <span style="color: rgb(11,244,110);"> = <span style="color: rgb(11,244,110);"> __<span style="color: rgb(80,0,255);">What is a termiating Decimal?? __  = <span style="color: rgb(11,244,110);"> <span style="color: rgb(11,244,110);"> = <span style="color: rgb(11,244,110);"><span style="color: rgb(80,0,255);">Termingating Decimals are numbers with decimals theat end (0.25, 3.07, 0.19 etc...)  = <span style="color: rgb(11,244,110);"> <span style="color: rgb(11,244,110);"> = <span style="color: rgb(11,244,110);"><span style="color: rgb(80,0,255);">Not A number with a decimal that never ends (0.641841548169542195632...............)  = =<span style="color: rgb(80,0,255);"> = <span style="color: rgb(11,244,110);"> <span style="color: rgb(11,244,110);"> = <span style="color: rgb(11,244,110);"><span style="color: rgb(80,0,255);">Symbol  = = <span style="color: rgb(80,0,255);"><span style="color: rgb(11,244,110);">Q  = = = = = =__ <span style="color: rgb(225,9,82);">Irrational Numbers (ugly numbers) __= = <span style="color: rgb(225,9,82);">Irrational Numbers are a number that cannot be written as a ratio of two integers/cannot be expressed and irrational numbers are not rational. They are numbers that can not be expressed as fractions and have niether terminating nor repeating decimals. irrational numbers are numbers that never end thats why they are ugly. When a test asks you for an irrational number to remember think of pie 3.141592654 and so on. = = <span style="color: rgb(225,9,82);"> <span style="color: rgb(225,9,82);">Examples-  = = <span style="color: rgb(225,9,82);">Pie, Square root of 2, square root of 3 = = = = <span style="color: rgb(225,9,82);">Symbol = <span style="color: rgb(225,9,82);"> <span style="color: rgb(225,9,82);"> <span style="color: rgb(225,9,82);"> = <span style="color: rgb(225,9,82);">~ = = <span style="color: rgb(225,9,82);"> <span style="color: rgb(225,9,82);">Q  = = = = = =__ <span style="color: rgb(207,100,7);">Real Numbers __= <span style="color: rgb(207,100,7);"> <span style="color: rgb(207,100,7);"> = <span style="color: rgb(207,100,7);">Every number that you know = = <span style="color: rgb(207,100,7);">Includes all of the other number sets. = = <span style="color: rgb(207,100,7);">Real Numbers are the top of the diagram. This is because everything below Real Numbers is a Real number. Real numbers can also have a negative value and factions which includes every number you know. They don't always have to be a positive number or a decimal number. On a test if your thinking real numbers every number is real there is no fake numbers. = = = = <span style="color: rgb(207,100,7);">Symbol = = <span style="color: rgb(207,100,7);">R = = = = <span style="color: rgb(207,100,7);">Examples: 1, 7, 6, 4, -5 ,1.567, 45.54, 78, 125.784 etc... = = = = = = __Not so basic...__ = = = = __<span style="color: rgb(19,88,241);">Complex __  = <span style="color: rgb(19,88,241);"> <span style="color: rgb(19,88,241);"> = <span style="color: rgb(19,88,241);">complex numbers are extensions of real numbers obtained by joining an imaginary unit. = <span style="color: rgb(19,88,241);"> <span style="color: rgb(19,88,241);"> = <span style="color: rgb(19,88,241);">every complex number can be written in a + bi form. A and B are the real numbers part of the equation and the imaginary part of the complex number. = = = <span style="color: rgb(19,88,241);"> <span style="color: rgb(19,88,241);"> = <span style="color: rgb(19,88,241);">Imaginary Unit is denoted by i. It is often referred to as the Square Root Of -1. Or the square root of minus 1. = = = <span style="color: rgb(19,88,241);"> <span style="color: rgb(19,88,241);"> = <span style="color: rgb(19,88,241);">x2+1 = <span style="color: rgb(19,88,241);">0= = = <span style="color: rgb(19,88,241);"> <span style="color: rgb(19,88,241);"> = <span style="color: rgb(19,88,241);">Since there is no REAL number that produces a negative real number when squared, we imagine such a number and assign it the letter i. = = = = = = __Symbol Study Techniques__ = = = =<span class="Apple-style-span" style="font-weight: normal; color: rgb(0,0,0);"><span style="color: rgb(167,0,255);">R eal Numbers - The <span style="color: rgb(173,29,247);">R <span class="Apple-style-span" style="font-weight: normal; color: rgb(0,0,0);"> in <span style="color: rgb(156,8,231);">Real is the symbol = = = = Rational Numbers- *no study technique* Q = = Irrational Numbers- The same as Rational (Q) but with a special touch (~) ~ = = Q = = Integer<span style="color: rgb(201,15,250);">s - The <span style="color: rgb(132,6,249);">S at the end sounds like a <span style="color: rgb(148,9,241);">Z (integer<span style="color: rgb(176,32,254);">zzzzz ) and a flipped S is Z = = = = <span style="color: rgb(157,24,242);">W hole- The<span style="color: rgb(156,9,241);"> W at the beginning of Whole is the symbol W = = <span style="color: rgb(148,1,244);">N atural- The <span style="color: rgb(162,11,239);">N At the beginning of Natural is the symbol N = = = = = =<span style="color: rgb(208,11,11);">Review Test! = <span style="color: rgb(244,11,79);"> =1. State Whether Each Data Is An Integer, Natural, Whole, Rational, Irrational<span style="background-color: rgb(255,255,255);"> or Real Number. If more than one apply, write all that apply.(won't have any exaples of complex)= = = = a.) -2/3 = = b.)13 = = c.) 1.3425647267932965739 = = d.) -1 = = e.) -6.8 = = f.) square root of 15 = = = =2. TRUE OR FALSE= = a.) a real number is also rational, irrational, integers, whole, natural T F = = b.) if a number is an integer is also a whole number T F = = c.) if a number is irrational, then it must also be an integer T F = = d.) if a number is irrational, then it must also be a real number T F = = = = = =Write The Symbol= = a.) irrational numbers = = b.) whole numbers = = c.) real numbers = = d.) rational numbers = = e.) natural numbers = = f.) integers = = = = = = = =<span style="color: rgb(255,0,64);">Answer s=