Real numbers are classified into rational and irrational numbers. The video covers the fundamental theorem of arithmetic, finding HCF and LCM, and proving the irrationality of square roots like √2, √3, and √5. Key moments: 00:00 Real numbers are crucial for understanding mathematics concepts. Rational and irrational numbers, like square roots, play a significant role in mathematical proofs and calculations. -Understanding the concept of real numbers and their importance in mathematics. Rational and irrational numbers like square roots are fundamental for mathematical proofs. -Exploring rational and irrational numbers further. Rational numbers can be expressed as fractions, while irrational numbers involve square roots and cannot be written as fractions. -Distinguishing between rational and irrational numbers through examples. Perfect square roots like √4 are rational, while non-perfect square roots like √5 are irrational. 06:06 Understanding the concept of rational numbers and their decimal expansions is crucial. Terminating and non-terminating decimals, along with repeating decimals, are key components of rational numbers. -Differentiating between terminating and non-terminating decimals. Recognizing repeating decimals as a subset of rational numbers. -Exploring the concept of terminating and non-terminating decimals in rational numbers. Understanding the significance of decimal expansions in rational numbers. -Illustrating examples of rational numbers and their decimal expansions. Demonstrating division methods to obtain decimal expansions of rational numbers. 12:09 Understanding prime factorization is crucial in mathematics to identify unique numbers. Composite numbers can be expressed as products of prime numbers, aiding in simplifying calculations and identifying prime factors. -Prime factorization helps in distinguishing between composite and prime numbers, simplifying mathematical operations and identifying unique factors. -Composite numbers can be expressed as products of prime numbers, aiding in simplifying calculations and identifying prime factors. -Understanding prime factorization is essential for finding the prime factors of composite numbers, simplifying calculations, and determining unique factors. 18:57 Understanding prime factorization is crucial in solving mathematical problems involving numbers like 18 and 120. By finding the common factors and highest powers, one can easily calculate the HCF and LCM of the given numbers. -Explaining the process of finding the highest common factor (HCF) and least common multiple (LCM) using prime factorization for numbers like 18 and 120. -Demonstrating how to identify common factors and highest powers to determine the HCF and LCM efficiently in mathematical calculations. -Illustrating a practical scenario with Sonia and Ravi's time calculations to emphasize the application of prime factorization in real-life problem-solving situations. 26:00 Understanding the concept of irrationality and proof in mathematical equations is crucial. The process involves dividing and analyzing prime numbers, leading to solving complex equations. -Exploring the concept of irrationality and proof in mathematical equations through division and analysis of prime numbers. -Delving into the process of dividing and analyzing prime numbers to solve complex mathematical equations involving irrational numbers. -Highlighting the importance of understanding and applying prime numbers in mathematical proofs to solve intricate equations.
Please give Sanyam Sir for this series . It’s my humble request . Sab teacher badiya hote hain par sanyambadola sir topic ka feel dila dete hain ❤❤❤❤❤❤❤❤❤❤
topic we have in this video Introduction 0:00 - 1:00 Content 1:15 - 2:59 Real Number(classification of Numbers) 3:00 - 13:31 Fundamental theorem of arithmetic 13:32 - 25:55 Irrationality 25:58 - 30:10 Thank You 30:13 - 30:3 creadit @xcessgaming6359
My pre-boards are starting from 11 Dec approximately in 23 days I’m so scared as I scored really bad in mid terms …I’m preparing maths from ncert , Oswal question bank and sample paper …wish me luck and give advices also please
Ye jo log boltey hai na i wish I pray i want everyone get 90 plus un logo se bahut he nivedan hai ki ab kuchh naya laye kaafi local ho chuka new original invent Karo😎😎
@@shaikhabdulmalik3872 why do I? i have not said that he can't teach well. i have asked bcz i understand from sanyam sir easily. so, u should not say like that
I think it's because q , 0 nhi hai aur √3 ki bhi ek approx. main value hoti hai isliye. Idk man I am dumb too but agar yeh help kr rha hai toh galat kya hai .
15:29 sir aapne bataya ki prime no. wo hote hai jinka exact 2 factor hota hai par aapne 12 ko jab prime factor me laya to iska factor to more than 2 hai
Sir please upload all the chapters because my pre boards are coming and I have to prepare for that... Or mughe sirf PW ke lectures hi samagh aate hai...
Sir is O is prime or composite? Because we can write O as 2×0 or 1×0 as only two factors and we also write 0 as 1×2×0 or 2×3×0 which has more than two factors.
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Love from Bihar sir 🤍🫂🇮🇳
Thnx
डाउटनट प्लेटफार्म पर पढ़ाते थे
X
Jdkdkxk
I pray everyone got 95+ % in board examination 2023-24💖💖💖💖💖
Thanks
Bhagwan ki kripa se jo tu bol raha hai wo sach ho jae bs. Fati padi hai exams ko leke 😵🥴
Thanx
Shut up
@@celestialnymphx chale ja
I wish all students get 95+ marks in your exam
Sal bhar ME nh aya thirty minutes me aa gyaa
I want 100+ 😅
Thankyou so much sir for completing the whole chapter in 30 minutes and for saving our time 💫
I hope everyone get 90+% in boards[2023-2024] 🤍
Ok really 💀
Hey sir done one mistake in this video😅
What @@zeenathzeenath9398
🙆😘🐶💓😅🤡🙄😐😣🌛😊😊
🌬️🙏💗🌛❤😂🎉😢😮😅😊
Introduction 0:00 - 1:00
Content 1:15 - 2:59
Real Number(classification of Numbers) 3:00 - 13:31
Fundamental theorem of arithmetic 13:32 - 25:55
Irrationality 25:58 - 30:10
Thank You 30:13 - 30:3
Introduction 0:00 - 1:00
Content 1:15 - 2:59
Real Number(classification of Numbers) 3:00 - 13:31
Fundamental theorem of arithmetic 13:32 - 25:55
Irrationality 25:58 - 30:10
Thank You 30:13 - 30:33
😏😏😏😏😏😯😯😯
@@ayushsoni8741 😊😊😊
Thanks bhai
Thank you for this..😌
Ye karne ki zaroorat nhi thi bhai pagal hai kya ek rahapta mar diya na 10 din se pehle hosh nhi aayega suar !
Attendance here 2024-2025 students 😂
Present ma'am
🙋🏻♂️
👋🏻
Present maam🎉🎉
Present ma'am
I pray everyone score good marks in class 10 session 2023-24❤❤❤❤❤❤
Thanks
Thanks bro ❤🎉
Tnx
Any 2024-25 batch student here😊❤
Yes
@anilshukla-tt3qi I haven’t ask you personally okay 😅
Yeah😊I am here.
I am also😊
Yes😁
Real numbers are classified into rational and irrational numbers. The video covers the fundamental theorem of arithmetic, finding HCF and LCM, and proving the irrationality of square roots like √2, √3, and √5.
Key moments:
00:00 Real numbers are crucial for understanding mathematics concepts. Rational and irrational numbers, like square roots, play a significant role in mathematical proofs and calculations.
-Understanding the concept of real numbers and their importance in mathematics. Rational and irrational numbers like square roots are fundamental for mathematical proofs.
-Exploring rational and irrational numbers further. Rational numbers can be expressed as fractions, while irrational numbers involve square roots and cannot be written as fractions.
-Distinguishing between rational and irrational numbers through examples. Perfect square roots like √4 are rational, while non-perfect square roots like √5 are irrational.
06:06 Understanding the concept of rational numbers and their decimal expansions is crucial. Terminating and non-terminating decimals, along with repeating decimals, are key components of rational numbers.
-Differentiating between terminating and non-terminating decimals. Recognizing repeating decimals as a subset of rational numbers.
-Exploring the concept of terminating and non-terminating decimals in rational numbers. Understanding the significance of decimal expansions in rational numbers.
-Illustrating examples of rational numbers and their decimal expansions. Demonstrating division methods to obtain decimal expansions of rational numbers.
12:09 Understanding prime factorization is crucial in mathematics to identify unique numbers. Composite numbers can be expressed as products of prime numbers, aiding in simplifying calculations and identifying prime factors.
-Prime factorization helps in distinguishing between composite and prime numbers, simplifying mathematical operations and identifying unique factors.
-Composite numbers can be expressed as products of prime numbers, aiding in simplifying calculations and identifying prime factors.
-Understanding prime factorization is essential for finding the prime factors of composite numbers, simplifying calculations, and determining unique factors.
18:57 Understanding prime factorization is crucial in solving mathematical problems involving numbers like 18 and 120. By finding the common factors and highest powers, one can easily calculate the HCF and LCM of the given numbers.
-Explaining the process of finding the highest common factor (HCF) and least common multiple (LCM) using prime factorization for numbers like 18 and 120.
-Demonstrating how to identify common factors and highest powers to determine the HCF and LCM efficiently in mathematical calculations.
-Illustrating a practical scenario with Sonia and Ravi's time calculations to emphasize the application of prime factorization in real-life problem-solving situations.
26:00 Understanding the concept of irrationality and proof in mathematical equations is crucial. The process involves dividing and analyzing prime numbers, leading to solving complex equations.
-Exploring the concept of irrationality and proof in mathematical equations through division and analysis of prime numbers.
-Delving into the process of dividing and analyzing prime numbers to solve complex mathematical equations involving irrational numbers.
-Highlighting the importance of understanding and applying prime numbers in mathematical proofs to solve intricate equations.
Wtf , is this 😮
The true explanation of a teacher who teaches 1 chapter in 1 period😅
It is called revision or concept mapping session for a reason
24:24 they will meet at 36 mins..🥳🥳
25:50 HCF is 8 ... 🥳🥳
All the best for boards...🥳🥳
Ye HCF 8 kese hai plz explain
@@Wasifa-n2c616 ko 2 se divide karoge toh 308 aayega answer,mene bhi same mistake kari 313 likh diya tha
@@kavitasharma9378thank u bro as I have committed the same mistake and worring about my answer for about 10 to 15 min now it is clear.
@@rituparnamohapatra6013or 7 lena 154 ke baad and aa jayega
Mumbai to goa-598km
Goa to Mumbai-598km
Absolutely right
Monday to Sunday-7 days
Sunday to Monday-1 day
We want justice😑
math is not mathing
@@lunarshado3838 more like meth
Ye dogla pana hai 😂
😂😂 next level 😂😂
Op boss 😂😂😂
Thank you bhaiya ❤️
You explained the full chapter in a very short period of time 🤌this is very helpful for me!!!🙂
Hello annapurna ge❤❤
Bhaiya😅voh toh mai hu
@@SanatanPOWER000hii
Idk why, but i remembered carryminati at 2:53 and said his golden intro lines by heart 🤣🤣🤣
If q square=2n square
So why q/2=m. Explain me sir
28:31
LCM of 96 and 404 is 9696🎉🎉
Hcf is 4 🎉🎉
@@user-nv1nr2oe4o 🤣🤣
thanks this help me to check my answer
24:34 This part we'll have to take HCF instead of LCM.
Wah! Sirji ❤️🔥 ekdam bhaukali tarike se revise karaya ❤️❤️❤️❤️
22:51 / because Soniya is women and men will be men 🌚 Simple 👍
That black moon 😂
Please give Sanyam Sir for this series . It’s my humble request . Sab teacher badiya hote hain par sanyambadola sir topic ka feel dila dete hain ❤❤❤❤❤❤❤❤❤❤
Bhai ab sanyam sir CDO hai ab chote mote kam nhi karenge bahut kaam hai unpe🙏
Bhai wo CDO and VP hai. He is a lot busy
@@koushlendrapatel5100 CDO , VP KYA HAI
@@physicswallahop686 same question mera bhi h 😅😅
@@pransu1579 opp log ka question😂
Sir, tomorrow is my preboard🥲
Your concept mapping revision videos help me a lot for revise all the chapters❤😊
Thank u so much sir 💗😥
Best of luck for all bruus and sisss for 95+❤️❤️❤️❤️❤️
I hope everyone got their stream by good percentage in board examination 2023-2024
Thankyou so much sir! All concepts clear in just 30 mins! saved my time and this is best for revision
topic we have in this video
Introduction 0:00 - 1:00
Content 1:15 - 2:59
Real Number(classification of Numbers) 3:00 - 13:31
Fundamental theorem of arithmetic 13:32 - 25:55
Irrationality 25:58 - 30:10
Thank You 30:13 - 30:3
creadit @xcessgaming6359
You are my best teacher
🙏🤘Best explanation of chapter 1 really thanks a lot dear sir 🥰
Wash bhaiya..✌dn to chod diya aapne but andaz vhi hai. Abhi bhi...👍😸❤👍👍👍👍😌😌😌
nice session bhaiya..👍👍👍👍👍👍😌🙃
22:36 answer is 36 minutes
24:39 answer is 8 columns
My pre-boards are starting from 11 Dec approximately in 23 days I’m so scared as I scored really bad in mid terms …I’m preparing maths from ncert , Oswal question bank and sample paper …wish me luck and give advices also please
moye moye
Answer of these 24:28 question are "36" or I am write or nor
Greatt ❤️🙌 tommorow is my preboard and your concept mapping revision videos help mee a Lot 🖇️🫶
Today 's my preboard
This is very helpful thanks sir😊
Omg I can't believe maths chapter in 30min 😍😍
Everything is possible for Pw Foundation team❤️
Tomorrow is my maths exam and I am taking these gap days as vacation
Us bro 🥲
Yes bro 😂
Bhai muja kuch nai ata
@@Anshurajput244 practice kar vro
@@asad01409 kya practice kro bhai
Great Explanation in very short time❤️
We want more revison videos like this sir. It will be very helpful ✌️
Ye jo log boltey hai na i wish I pray i want everyone get 90 plus un logo se bahut he nivedan hai ki ab kuchh naya laye kaafi local ho chuka new original invent Karo😎😎
22:26 ans HCF = 4 and LCM = 9696 bothe product = 38784
That's wrong
Lcm is 36
Video phirse dheko LCM 9696 hoga
Highest power lena hai
36 is the answer of 2 question 😀
These days will always remember and stored in my mind forever 😊
We want sanyam sir♥️♥️
Like if u agree👍
Why don't uh guys respect the person who is teaching uh
If uh don't like him or his teaching stop watching his video 🙄
@@shaikhabdulmalik3872 why do I?
i have not said that he can't teach well. i have asked bcz i understand from sanyam sir easily.
so, u should not say like that
@ANSHIKA747 well said
Sir I have a doubt
In trigonometry 2/root3 to hota hai p/q form mai
Why?
I think it's because q , 0 nhi hai aur √3 ki bhi ek approx. main value hoti hai isliye.
Idk man I am dumb too but agar yeh help kr rha hai toh galat kya hai .
@@mustakali4226 oh ok thnx
I wish all students got 95+ percentage in board exam's
Nice teaching sir👌👌...tq🙏🙏...but ap chillana thoda kam ki jiye..🙏🙏
Thank you sir ❤
For your great explanation in very short time 😊
Hi
Huh🍷🍷👽
Gand marva🤬🤣
Oh yeh 💓💓
Hii
Hello guys I am yashvardhan singh sikarwar class 9 and I am student of jnv bhind . I hope my 10 class final persentage is 95+ 🥰🥰 I am pray to God
I pray for everyone get 95+% in board examination 2023-2024 💖💖💖
Don't pray for everyone..pray for yourself
Don't pray for me because I am in class 9.
Thank you yaar
@@AmanofIndia3024so why the fu*k are you here
Thanks sir all boards student are depend on PW ❤🎉
Dont get offended , but i don't understand why all maths teacher are so loud.. 😅
Anyways thanks for the lecture...😊
Mere liye bhi pray karna ki mai board exam me acche marks se score karu and very nice teach for sir thanks
These 30 mins r really Worthing ❤️
Yesss
15:29 sir aapne bataya ki prime no. wo hote hai jinka exact 2 factor hota hai par aapne 12 ko jab prime factor me laya to iska factor to more than 2 hai
Bro 12 prime number nhi hai composite number hai
Can anyone hear the background sound teeeeeeeeeeeeeee...😮 16:42
Yes
emmm
Thanks you sir😊
I will pray to god that every board student score 95+ in board exams
ABSOLUTELY IMPECCABLE revision session sir!😃👍💪⚡️
😊
Love you too my crush ❤️
Love you too my crush ❤️
last wala samja nahi😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒
Thanx sir I got it easily but no use 🔥😜😎
Sir please upload all the chapters because my pre boards are coming and I have to prepare for that...
Or mughe sirf PW ke lectures hi samagh aate hai...
Same
Same
Bro aap itna bhi juth mat bolo ki sirf PW ke samajh me aate hai
@@Jitendra563.0 satye hai
Aree didi school m nhi aata smjh
Nice explannation❤❤❤❤
Sir aap tho doubtnut par padhaate the na pr pe sir 💙 PW is best 💯 but I can see you in doubtnut in Hindi language
Feels like real number is harder than trigonometry 😌
Your teaching is amazing ❤️💫
Newly 😮 class 10th😊 batch🙌 attendance here👇
Edited : 1 is called special number
Sir is O is prime or composite?
Because we can write O as 2×0 or 1×0 as only two factors and we also write 0 as 1×2×0 or 2×3×0 which has more than two factors.
Zero is neither prime nor composite.
A(i) LCM - 9,696 HCF - 2 🙋♀️🙋♀️🙋♀️
Same bro😊
hcf = 4 bro
Please we need trigonometry video and please give some more most precious year chapter question in that of all chapter sir 🙏♥️🥰😊
Sir apkii videos hame bohot jayda jayda help karti hai
Apka bohot bohot thankuu❤
Sir awesome lecture
Revised all concepts very effectively
Thank u sir
🙌
Thank you sir 🌍🙏
sir kindly unpload the revision vdo of main chapters of math firstly .... it's the humble request sir ....your vdo's helps me a lot ❤️✨
😍
Thank you soo much sir
It was amazing
God bless you abundantly sir
Sir please uploaded more Videos ❤️🙏🏻
96,404- HCF 2 LCM 9696
bro HCF is 4 check your answer once.
@@varnika__345. thanks my answer is also 4 but mistype ho gaya thank for information 👍
HCF 4 LCM 9696 ok
@@Akstudio248 bhi thanks mis write ho gaya tha
All are cleared and completely revised 🔥👍
ok
Very good
All the best for ur maths examination
Hope my all friends get 95% above in 2022-2023 session board examination 💓💗💗💖💘❤
Thank u
I pray all get 95 percentage in board pray to saraswati maa
Pray mat Karo padh lo Varna fail ho jaoge
I pray all got 90% in board exam 🎉
NCERT Ex 1.2 (Question 7) LCM is 36
Sonia and Ravi both will meet on 36 min
Kamal sir kitne baches me padhoge 😂😂phe doubtnout me an phiycis walla me😅
Thanks alottt❤❤ this helped me so much.... Gbu sir✨
Hello 👋
Hlo
Thank you so much Kamal bhaiya 😘😘 and apko yaha dekhkar Khushi bhi Hoti Hain 😍 aur dukh bhi 😓😓 I am from up board. And love you bhaiya ❤️❤️
Very very very thanks so much sir🥰🥰🥰🥰😊😊😊😊😊☺️☺️☺️
Physics Wallah Is Best Platform For Students 😊 Agreee:-
👇
Ooho thankyou sir asa koi teacher nhi h jisne mujhe samjhaya na ho kisi se bhi nhi samjhta hu ma par aapne Aaj samjha Diya dhanyawad 😊
1:10 sessions starts
13:32 HCF & LCM
22:26 Ans- LCM-9696. HCF-4.
🎉🎉🎉😂😂😂
@@ankush_kundu001 bhaii isko koi bataye hcf minus me nahi aaya 💀
@@ZELERUSS what
Kal paper h maths ka aur abhi 1st chapter padra hun 😂
Same 😂🤣
Same😂
Me
Kitna hua 🤭
I m watching for revision
Sir aapne to pura problem hi solve kar diya thank you so much sir kash aap se live classes bhi le sakta
All the best board walo❤❤❤
Good luck all 🎉🎉🎉
Aapki vedio Rbse board Wale bhi dekhte ha plzz Hindi me padhana start kijia😢 😢😢
I pray all students in class 10 are got 90 % in 2024 - 2025
Thank you sir for giving best explanation 🎉🎉🎉
I PRAY EVERYONE GOT 95+% IN BORD EXAMINATION 2024-2025
Thank u sir all the doubt's are cleary in this video 😊
Attendance here for 2024-25😅
Bhaiya bs apka padhane ke wajah se hm board ma bahut aacha % layge! THANKU BHAIYA 😊 🙏