Number System || Introduction (LESSON-1) — Transcript
Full transcript
- 0:05first of all thanks for being here in my
- 0:08YouTube channel so in this lesson number
- 0:10one on the topic number system now we
- 0:13are going to learn introduction about it
- 0:16so before solving a question on the
- 0:17topic number system first in this video
- 0:19we can learn some of the important
- 0:21points to remember right so listen here
- 0:23if you take a number system quantitative
- 0:26aptitude topic it is very easy if you
- 0:28are going for any competative exams even
- 0:31if you're are going for a campus
- 0:32interview you can able to see minimum of
- 0:35one question from this topic number
- 0:37system and maximum two or three question
- 0:40and listen here why I am saying this
- 0:41number system topic is easy because it
- 0:44does not have any formulas to solve you
- 0:46just have to read the question twice or
- 0:49Thrice you have to understand the
- 0:51question and then you can solve by your
- 0:53own way right because these are the
- 0:55questions does not requir any formula to
- 0:57solve you just have to understand the
- 0:59question
- 1:00but understanding a question right only
- 1:03if you know some of the important points
- 1:06what is called as prime number what is
- 1:08called as divisibility rule integer
- 1:12rational numbers irrational numbers
- 1:14divisibility rule so these concepts are
- 1:18important before solving all those
- 1:20question you have to learn all these
- 1:22Concepts right only if you know the
- 1:24basics of number system you can able to
- 1:27solve the question right so listen here
- 1:29here in this video I'm just going to
- 1:31teach you uh the easiest way to learn
- 1:34I'm just going to draw a chart here so
- 1:37that you can able to learn all the
- 1:39concepts easily by only the chart so now
- 1:42let we move on to the chart that is
- 1:44based on number system so friends listen
- 1:46here instead of spending more number of
- 1:48time on biting the concepts better you
- 1:51can understand this chart what I'm going
- 1:53to teach now if you understand this
- 1:55chart then you can save more number of
- 1:57time instead of biting it it is easy
- 1:59right just see here first let me take
- 2:02numbers so numbers is basically
- 2:05separated into two categories so
- 2:08category number one will be real numbers
- 2:11got it category number two is imaginary
- 2:15numbers so numbers are separated into
- 2:17two parts one is a real number and the
- 2:20second is the imaginary number so first
- 2:22you need to know what is called as real
- 2:24number and what is called as imaginary
- 2:26numbers just see here numbers let me
- 2:29take example 4 + 3 I got it 4 + 3 a here
- 2:354 is a normal number which is called as
- 2:37a real number imagine imaginary number
- 2:41is like whenever you can able to see
- 2:43that letter I sometimes you can able to
- 2:46see root of I root of I is minus one so
- 2:49these cases is called as imaginary
- 2:51numbers if a number contains a letter I
- 2:54is called as an imaginary numbers if a
- 2:57normal number is called as a real
- 2:59numbers just see here we are preparing
- 3:02for competive exams in the compettive
- 3:04exams
- 3:0599% imaginary number questions will not
- 3:09be asked only if you are preparing for
- 3:119th standard 10th standard or
- 3:13engineering mathematics there we can
- 3:15able to see more number of questions on
- 3:17imaginary but in quantitative aptitude
- 3:20you don't want to learn this imaginary
- 3:22number Concepts right you can
- 3:24concentrate only on the real numbers got
- 3:27it second this real number is
- 3:30categorized into two parts one is
- 3:34irrational numbers got it and the second
- 3:37is the rational
- 3:40numbers rational numbers and irrational
- 3:44numbers so let me understand what is
- 3:46called as a rational number and what is
- 3:49irrational number just see here what is
- 3:51root of 9 root of 9 is three yes or no
- 3:55what is root of two root of two will be
- 3:591 Point
- 4:00414 213 5 6 it goes on yes or no when
- 4:06you look at the calculator just check
- 4:07the calculator what is square root of
- 4:09two if you find what is square root of
- 4:12two we have learned only
- 4:141.414 but actually the square root of 2
- 4:17is 1.414 21356 it goes on it does not
- 4:22have an any end so these cases are
- 4:25called as irrational numbers so got it
- 4:28only if it is a root 9 is 3 right this
- 4:31number has an end but this number does
- 4:33not has an end so if a number that does
- 4:36not has an any end is called as
- 4:38irrational numbers for example < tk2 <
- 4:42tk3 so these are the numbers yes or no <
- 4:45tk2 < tk3 these are the numbers does not
- 4:48have any end after the decimal point so
- 4:50these numbers are called as irrational
- 4:52numbers right so these are the small
- 4:54small numbers for example a root of 144
- 4:57is 12 yes or no and normal number three
- 5:00normal number four it has an end so
- 5:03these numbers are called as a rational
- 5:05numbers understood so now we have
- 5:07learned what is called as numbers how it
- 5:09is separated into two types so in the
- 5:12real numbers we have two type one is
- 5:14called as a rational numbers and the
- 5:16second is called as irrational numbers
- 5:18got it next this rational numbers are
- 5:22separated into two parts see one is the
- 5:27integer and second is the
- 5:30fraction it is easy what is called as an
- 5:33integer integer is a normal numbers for
- 5:36example 1 2 3 4 this is called as an
- 5:39integer fraction it is easy right so 1X
- 5:423 3x 7 no fraction numbers just a
- 5:46fraction numbers got it so this rational
- 5:48numbers are separated into two
- 5:50categories one is a normal integer and
- 5:54the second is the fraction numbers if
- 5:56you take this integer this integer is a
- 5:59separated into for example positive
- 6:03integer negative integer and a number
- 6:06zero see positive integer is nothing but
- 6:101 comma 2 comma 3A 4 till n is called as
- 6:13an positive integer negative integer is
- 6:17-1a -2 -3 -4 it goes on till Min - n it
- 6:22is called as a negative integer zero is
- 6:25a normal number starting number zero
- 6:27right so this is a zero so this in
- 6:29integer is separated into three
- 6:31categories positive integer negative
- 6:34integer and then a zeros got it so now
- 6:37let me take this positive integer
- 6:39positive integer is what 1 2 3 4 so this
- 6:42positive integer is categorized into two
- 6:45parts one is the natural numbers second
- 6:49is the whole number everyone knows it
- 6:52what is called as natural numbers and
- 6:54numbers that start from 1 1A 2 comma 3A
- 6:574 until n it is called as natural
- 7:01numbers what is called as old number a
- 7:03same set of series if it start from zero
- 7:070a 1 comma 2 comma 3A 4 until n it is
- 7:11called as a old numbers so friends got
- 7:14it just here integer is separated into
- 7:17sub it subdivided into three parts
- 7:19positive integer negative integer and a
- 7:22zero you know what is called as integer
- 7:24integer is just a normal number 1A 2
- 7:27comma 4 comma n so we have integer two
- 7:31type positive integer negative integer
- 7:33and a number zero so if you take a
- 7:35positive integer that can be separated
- 7:37into a natural number and a whole number
- 7:41natural number is nothing like a series
- 7:43that start from one is called as natural
- 7:45number if a series that start from zero
- 7:48is called as a whole number got it the
- 7:50last step this natural number is
- 7:53separated into four important there are
- 7:56many parts but I'm teaching you only
- 7:58four important parts that are important
- 8:00for competitive exams so 1A 2 comma 3A 4
- 8:04till n how you can separate this even
- 8:07numbers yes even numbers 2 4 6 8 even
- 8:11numbers second will be odd numbers third
- 8:15will be prime numbers yes or no what is
- 8:17called as prime number 3 5 7 those cases
- 8:20are called as prime numbers and the last
- 8:23is the composite number you should know
- 8:26what is called as composite number
- 8:28composite number is number which have
- 8:31more than two factors for example let me
- 8:34take number 15 how many factors we have
- 8:375 into 3 will be 15 1 Factor 3 into 5
- 8:41will be 15 1 into 15 will be 15 15 into
- 8:451 will be 15 so if a number which has
- 8:48more than two factor is called as a
- 8:51composite number that's it right just
- 8:54see how easily we have categorized the
- 8:56number system and now without Bing it it
- 8:59is easy to understand the entire concept
- 9:03again I'm saying there are more
- 9:04important points other than this but I'm
- 9:07teaching only for the exam point of view
- 9:09right for the exam competitive exam
- 9:11point of view can teach you again one
- 9:12time see first numbers numbers are
- 9:15separated into two category one is a
- 9:17real number and second is the imaginary
- 9:20numbers so real number is the normal
- 9:22numbers imaginary number is the number
- 9:24that contains I letter I is called as
- 9:27imaginary numbers so you don't want to
- 9:29concentrate on more on imaginary numbers
- 9:31because only if we preparing for school
- 9:34colleges those cases we have to learn
- 9:36this imaginary numbers for the
- 9:38competitive exams quantitative aptitude
- 9:41so this real number is more than enough
- 9:43second the real number is categorized
- 9:45into two parts one is a rational number
- 9:48and a irrational number I have told you
- 9:51what is the difference between
- 9:52irrational numbers and the rational
- 9:54numbers if a number that does not have
- 9:56an end it is called as irrational number
- 9:59example square root of two if you find
- 10:01what is the value of square root of 2
- 10:031.414 213 56 it goes on right so those
- 10:07cases is called as an irrational numbers
- 10:10so rational number is like normal number
- 10:12root of 9 3 4 5 Etc got it so now this
- 10:17rational numbers are separated into two
- 10:19category one is a normal integer and
- 10:23second is the fraction fraction everyone
- 10:25knows 1X 3 2x 7 the number as numerator
- 10:29as well as a denominator is called as a
- 10:31fraction got it and integer so integer
- 10:35are separated into positive integer
- 10:37negative integer and a number zero so
- 10:40positive integer is nothing but 1A 2
- 10:42comma 3 negative integer -1 - 2 - 3 and
- 10:46the last is zero right number zero now
- 10:49this positive integer is separated into
- 10:51two categories a series that start from
- 10:54one is called as a natural number a
- 10:56series that starts with 0 1A 2 3 is
- 10:59called as a old number at the last this
- 11:02natural number is separated into four
- 11:04important parts even number odd number
- 11:08prime number composite number you know
- 11:11what is called as even number 2 comma 4
- 11:13comma 6 what is called as odd number 1
- 11:15comma 3 comma 5 what is called as prime
- 11:18number 357 right and what is called as
- 11:20composite number a number which has more
- 11:23than two
- 11:25factors got it is called as a composite
- 11:28numbers so it is enough friends in this
- 11:30video it is more than enough so in the
- 11:32next video we can learn some of the
- 11:34basics and we can start solving the
- 11:36questions so many students usually sit
- 11:38and buyart all these stuffs don't buyart
- 11:40it now it is easy right so just take
- 11:42down this as a note and you know if
- 11:44you're preparing for competitive exams
- 11:46just take a note of it start learning
- 11:48all the concepts here what is called as
- 11:50irrational numbers just take some
- 11:52examples and see so that number system
- 11:54will be very easy so thank you so much
- 11:57for watching this video so if you really
- 11:59like it share the video to your friends
- 12:01those who are preparing for the
- 12:02competitive exams so in the next lesson
- 12:04we can learn some more Concepts and we
- 12:06can start solving a question so thank
- 12:08you so much for watching it bye
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