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.
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
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 ❤❤❤❤❤❤❤❤❤❤
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.
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
@@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
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
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...
Realy you are a good teacher because I don't prepare any thing for ut exam but after your video I score excellent marks in maths UT examination THANKS SIR
Check Batch Here: physicswallah.onelink.me/ZAZB/YT2June
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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
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 !
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
🙆😘🐶💓😅🤡🙄😐😣🌛😊😊
🌬️🙏💗🌛❤😂🎉😢😮😅😊
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 😮
Any 2024-25 batch student here😊❤
Yes
@anilshukla-tt3qi I haven’t ask you personally okay 😅
Yeah😊I am here.
I am also😊
Yes😁
I pray everyone score good marks in class 10 session 2023-24❤❤❤❤❤❤
Thanks
Thanks bro ❤🎉
Tnx
The true explanation of a teacher who teaches 1 chapter in 1 period😅
It is called revision or concept mapping session for a reason
You are my best teacher
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
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
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
Attendance here 2024-2025 students 😂
Present ma'am
🙋🏻♂️
👋🏻
Present maam🎉🎉
Present ma'am
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 😂😂😂
Thankyou so much sir! All concepts clear in just 30 mins! saved my time and this is best for revision
Idk why, but i remembered carryminati at 2:53 and said his golden intro lines by heart 🤣🤣🤣
Great Explanation in very short time❤️
We want more revison videos like this sir. It will be very helpful ✌️
Wah! Sirji ❤️🔥 ekdam bhaukali tarike se revise karaya ❤️❤️❤️❤️
LCM of 96 and 404 is 9696🎉🎉
Hcf is 4 🎉🎉
@@user-nv1nr2oe4o 🤣🤣
thanks this help me to check my answer
22:36 answer is 36 minutes
24:39 answer is 8 columns
If q square=2n square
So why q/2=m. Explain me sir
28:31
Sir, tomorrow is my preboard🥲
Your concept mapping revision videos help me a lot for revise all the chapters❤😊
Thank u so much sir 💗😥
24:34 This part we'll have to take HCF instead of LCM.
I hope everyone got their stream by good percentage in board examination 2023-2024
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😂
13:32 HCF & LCM
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 😀
Best of luck for all bruus and sisss for 95+❤️❤️❤️❤️❤️
Your teaching is amazing ❤️💫
22:51 / because Soniya is women and men will be men 🌚 Simple 👍
That black moon 😂
🙏🤘Best explanation of chapter 1 really thanks a lot dear sir 🥰
Thank you soo much sir
It was amazing
God bless you abundantly sir
Thank you sir ❤
For your great explanation in very short time 😊
Hi
Huh🍷🍷👽
Gand marva🤬🤣
Oh yeh 💓💓
Hii
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
Nice explannation❤❤❤❤
ABSOLUTELY IMPECCABLE revision session sir!😃👍💪⚡️
😊
Love you too my crush ❤️
Love you too my crush ❤️
Thanks you sir😊
Wash bhaiya..✌dn to chod diya aapne but andaz vhi hai. Abhi bhi...👍😸❤👍👍👍👍😌😌😌
nice session bhaiya..👍👍👍👍👍👍😌🙃
11 march ko paper dene wale like karo
Ham na de rhe
Greatt ❤️🙌 tommorow is my preboard and your concept mapping revision videos help mee a Lot 🖇️🫶
Today 's my preboard
Nice teaching sir👌👌...tq🙏🙏...but ap chillana thoda kam ki jiye..🙏🙏
Sir please uploaded more Videos ❤️🙏🏻
Attendance here for 2024-25😅
Sir awesome lecture
Revised all concepts very effectively
Thank u sir
🙌
A(i) LCM - 9,696 HCF - 2 🙋♀️🙋♀️🙋♀️
Same bro😊
hcf = 4 bro
Thanks sir all boards student are depend on PW ❤🎉
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.
I wish all students got 95+ percentage in board exam's
1:10 sessions starts
These 30 mins r really Worthing ❤️
Yesss
Thank you sir 🌍🙏
22:26 Ans- LCM-9696. HCF-4.
🎉🎉🎉😂😂😂
@@ankush_kundu001 bhaii isko koi bataye hcf minus me nahi aaya 💀
@@ZELERUSS what
Sir your are the most energetic and good techer.... And i think we need it for ch 12 or 5
Dhasu sir left the chat
Thank you sir you are a very good teacher
Bbbn
Omg I can't believe maths chapter in 30min 😍😍
Everything is possible for Pw Foundation team❤️
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
Please we need trigonometry video and please give some more most precious year chapter question in that of all chapter sir 🙏♥️🥰😊
last wala samja nahi😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒😒
Thank you sir....💜💜
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
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 ❤️✨
😍
Answer of these 24:28 question are "36" or I am write or nor
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
Awesome sir 🔥🔥🔥
Best teachers🎉🎉🎉
THANK YOU SIR
This video is very helpful for me...
THANK you sir
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 ❤️❤️
thanks sir for the help
These days will always remember and stored in my mind forever 😊
All are cleared and completely revised 🔥👍
ok
Very good
İ . Satisfied from your teaching
Feels like real number is harder than trigonometry 😌
Thanks a lot Kamal bhaiya 🙏🏻🙏🏻🙏🏻
Who is watching this in gap days 🙋
same🙋
Aaj se start kiya hai syallbus basic maths hai..
me
@@lgdevilgamers8069 😂😂
Me😂
All the best board walo❤❤❤
Very very very thanks so much sir🥰🥰🥰🥰😊😊😊😊😊☺️☺️☺️
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
Thanks alottt❤❤ this helped me so much.... Gbu sir✨
Hello 👋
Hlo
Great Explaination in very short time
All the best for ur maths examination
Newly 😮 class 10th😊 batch🙌 attendance here👇
Edited : 1 is called special number
Thanx sir I got it easily but no use 🔥😜😎
Thank you PW❤
Very good explanation of questions
I pray all got 90% in board exam 🎉
🎉🎉🎉🎉🎉🎉🎉thanks sir best explained
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
Thank you❤🌹
one day before exam??/
Same to same 😅
😅😅😅😅😅 same
Thnxx sir itne ache se clear krne ke liye😊😊
Who else got exam tomorrow 😂
Meh my exam is today and I am seeing this video today 😢
@@Aanchal_raj me too
@Pahadi_sandesh_ff yeah my exams are ended and I got full marks in maths 🤌🏻😅
We are just different 😂
Mee
Very Informative Knowledge & Helpfull Video
Thank you so much PW
Realy you are a good teacher because I don't prepare any thing for ut exam but after your video I score excellent marks in maths UT examination
THANKS SIR
attendance of people like me who is watching this video a day/night before exam
Thank you sir for giving best explanation 🎉🎉🎉
I pray all get 95 percentage in board pray to saraswati maa
Pray mat Karo padh lo Varna fail ho jaoge
Nice video thanks for explaining