Digital Sum के इस Concept से होगी Calculation Seconds में | Vedic Maths tricks for fast calculation
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- Опубликовано: 8 сен 2024
- Digital Sum or Digit Sum or C9 method is an amazing technique of vedic mathematics that can be used for faster calculations. These tricks are beneficial for competitive exams like ssc cgl ibps po and clerks group d railway etc
Shakuntala Devi was asked to find the 23rd root of a 201 digit number. She found the answer in 50 seconds. After a lengthy program was written and 13,000 instructions were fed into a computer the machine gave the same answer, but it took a full minute.
Shakuntala Devi refers to her calculating powers as her "God-given gift". She lives in Calcutta and often travels, giving demonstrations of the talents.
Vedic mathematics is an ancient form of Hindu mathematics. Vedic techniques are designed to simplify multiplication, divisibility, finding squares, square roots, cubes, cube roots, and other aspects of mathematics, including working with recurring decimals and fractions.
This activity focuses on aspects of divisibility and multiples. For example, a number is divisible by 9 if the sum of its digits is a multiple of 9.
This is another checking device which can be very useful and which comes under the Vedic formula The Product of the Sum is the Sum of the Products.
Every number, no matter how long, can be reduced to a single figure, called its digit sum, by adding the digits in the number and then adding again if necessary.
So for 43 the digit sum is 7 since 4+3 = 7.
Also for 47: 47 = 11 = 2.
And 876 = 21 = 3.
To check a multiplication sum the above Vedic formula reads: The Product of the Digit Sums is the Digit Sum of the Products. So if we have the sum:
74 × 76 = 5624
we reduce 74, 76 and 5624 to their digit sums: 74 = 11 = 2,
76 = 13 = 4,
5624 = 17 = 8.
Then replacing the original sum with these digit sums we get 2×4 = 8, which is true, and therefore supports our answer, 5624.
This digit sum check does not detect certain errors however: if we wrote
88+77 = 156 the digit sum check would be the same as above even though the answer is wrong. However in this case The Last by the Last tells us that the answer certainly is wrong since it must end with 5.
27 × 87 = 23/49
The conditions are satisfied here as 2 + 8 = 10 and both numbers end in 7.
So we multiply the first figure of each number together and
add the last figure: 2 × 8 = 16, 16 + 7 = 23 which is the first part of the answer.
Multiplying the last figures together: 7×7 = 49: which is the last part of the answer.
Similarly 69 × 49 = 3381
in which 33 = 6×4 + 9, and 81 = 9×9.
Numbers such as 135 can be expressed in expanded form as 1 x 100 + 3 x 10 + 5. This tells us that 135 is not a multiple of 10 because the last digit, 5, is not a multiple of 10. We can also write the expanded form for 135 in a different way: (1 x 99 + 1) + (3 x 9 + 3) + 5.
Sometimes the digit sum has more than one digit. When this occurs, the students need to repeat this process until the digit sum is a single digit. We have called this digit the Vedic digit for the number. For example, 2 389 has the digit sum 2 + 3 + 8 + 9 = 22. The digit sum for 22 is 2 + 2 = 4. So the Vedic digit for 2 389 is 4, which indicates that 2 389 is not a multiple of 9.
The mathematics above is not included in the activity for the students, but it does provide a background to the activities in which the students use patterns in their completed Vedic grids to devise rules for identifying multiples of 9, 6, and 3 (see questions 1 and 2).
It may be useful to put the following questions to the students to develop their thinking about multiples and divisibility:
Question: Are all multiples of 6 and 9 also multiples of 3? Why or why not?
Answer: Yes. 6 and 9 are themselves multiples of 3, so the product formed when any (whole) number is multiplied by 6 or 9 will also be divisible by 3 and be a multiple of 3. For example, 12 (a multiple of 6) is also a multiple of 3, and 18 (a multiple of both 6 and 9) is also a multiple of 3.
Question: Are all multiples of 9 also multiples of 6? Why or why not?
Answer: No. A number such as 27 is a multiple of 9 but not of 6. Multiples of 9 are sometimes odd (as with 27) but multiples of 6 are always even.
Keywords: Digital sum | digital sum vedic maths | digital sum | digit sum method for simplification | digit sum concept | vedic math tricks | vedic maths full course | vedic sutras | maths tricks | trick for fast calculation | vedic maths tricks for fast calculation
#digitalsum #vedicmaths #mathtricks #speedmaths #digitsumconcept
Music: Maestro Tlakaelel
Artist: Jesse Gallagher
Voice Over: Dheemraj
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Thank You...
All positive integers (and rational numbers with denominator as power of 10 - e.g. fixed length decimals like 24.572) can be expressed as *9k + D* where D is the digital sum of the number. This is why digital sum does not change when numbers are added, subtracted, multiplied or divided. That's the magic of digital sum, hence it can be used to simplify *multiple choice questions* in mathematics exams/quizzes.
बहुत ही बढ़िया काम किया है आपने, आपकों बहुत बहुत धन्यवाद। मेरे विचार से इस चैनल का नाम भी वैदिक गणित होना चाहिए।
1:40 please explain, how a digital sum can be called zero. Even a unit value always has a valid value.
53433 = 5+3+4+3+3 =18=1+8=9.
When a number is divided by 9, for example, if you divide 53433 by 9, then remainder will be zero, which is also the digit sum of this number. Therefore, digit-sum is actually the remainder when that number is divided by 9.
We take 9 as Zer0
2:50 real calculations doesn't bring the answer within the options.
Answer is coming up as 1,25,746
@@MATHENIAC I know, uploader has put wrong figures in option. But still actual ans fig also giving digit-sum 7.
Yes ,It should be 9
Bro muze multiple division fraction mai karne mai bohot time lgata hai 🥺
Practice karte raho you surely decrease your time
Me too 😌
Same
Same brother 🥲
Pls mention when the digit-sum is not applicable, for example in case of 1/3, digit sum don't work.
such a wonderful concept. thank you!
gazab
This digital sum technique is really amazing. Thank you for this vedio
One of the best channel on utube .... u will reach 1 crore subs fast!
Thnx 😍
Thank you so much for this trick😊
The trick is so fast now I can do the questions in seconds😍😍
Bro I loved it
sbko 9 or 0 mai confusion hai to mai batadu ki 9 ki jagah 0 lene se koi farak nahi pdta hai
aur ek correction hai
3:10 yaha pe agar uska sahi answer dekhe (by adding on calculator) to wo 125746 hai naki 107746 (method sahi hai hai bs shayad typing mistake hogaya hoga bhai se}
Good video
Good
nice
Wow क्या बात है थैंक यू वेरी मच
Thanku u so much sir
This trick is🛐🛐🛐🛐🛐🛐🛐
Sir aap yeah bataiye ki agar hame normal question solve karte hue calculation karni ho toh isse kaise kare like agar mcq question na ho toh. Please reply me❤❤
Quantum computing power💪🙏⚡ dilva do sasta main to duniya follow kareingey😇😇😇
What a lovely trick sir..
Plz plz plz replay me 😭😭😭 mujhe bohot sharminda hona padta hai..agar mujhe koi jab achanak se hosab lagane ko bolta hai mathmatics to nahi aata jaldi se ...plz koi trick batai ye
Bro I can only tell you that practice makes one perfect there is no single trick to perform all calculation
Try to multiply it with 200 x 4 then it's answer can be 80, 800, 8000 and many more with this formula
Hmmm
@@rishitbhardwaj5281 yes😂😂😂
Bina option wala ka answer kaise nikelega
Sorry we can't
This method is used for competitive exams like ssc bank railway
@@letsderive I also giving ssc exam so plz tell me
@@letsderive is it applicable for jee?
Nice explanation sir
2:50 real calculations doesn't bring the answer within the options.
Answer is coming up as 1,25,746
he put wrong options but method is correct
eaven digital sum of 125746 is seven
Fantastic brother. Love u yaar
Sir, will you teach all useful tricks of Vedic math .
(read reply and guide us)
Sir, my younger brother not have interest in math how can we tell that math is very intersting or
{Maths is language of god creations}
How can we tell
Bahut achhi trick hai bhai
Superb bhai...... 👏👏👏👏
Very good.
Hard🤟
Darun
I think there is some mistake because if you take 230/460
230=5
460=1
but in notes its 1/2
If in the given options, two options have the same digital sum and the calculation of the digital sum also is the same then which one has to be selected.
anyone
Mixed fraction ki video bnaiye 👍
Thank you sir
THANK YOU SIR
Bhai please tell me how you used Disney font please 🙏 Bhai please 🙏
super sir
Thanks bro 🇮🇳 is best
Cool
thnks
सर मटका काओपन सिंगल कैसे निकालते है कृपया बता दे
Sir please say v can use digital sum while solving division
30
🙏🙏👌👌👌
28
2-2 namber ka aansar dikhao jaise 48 ka aansar kya hai
Excel main iska koi calculators banva do???
Waw
9 is the anawer
Railway me ese questions ate hai
In last question if we reverse the order of any digit, instead of 9452 if we divide 9542, digit sum will be same but answer comes wrong....
5:09
🙏🙏🙏🙏🙏
डिजिटल
Brother i dont think digital sum can be zero. Its minimum value must be 1.
Aap kiss aap se edit krte hoo bhaiya jii. Video banane ke liye
Solution bhi kariye
It is v difficult for south Indian s ,most of them have no knowledge of Hindi
Mlm keluar nya 2504 jadi buat mlm berpa hongkong
Bhai Maine suna he ki division (/) or sabstraction(-) me ye rule lagu nhi hota
Dear total of five figures comes to 125446....not 107746...which you are showing in video where total of all digit comes to 7
Sorry correct total comes to 125746 not 125447 not 107446
Jaali ,jaali jaali calculation
2:13 Zero kaise ?
If digital sum come 9 then we consider it 0
@@letsderive Ok Sir , Thank you.
New Information very good
but less useful
Apn 99 ka digital sum nikale to 9 aana chahiye pr aap ki trick se to dono 9 kat honge to answer 0 aaiga
Yadi sabhi ka digital some 7 aayega to
Digital sum 9 kabhi nahi hota kya🤔🤔❓❓❓❓🖊️
9 ko 0 se replace krte h
मतलब जैसे 27 , 36 ,45, 18, ...... इन सभी का डिजिटल sum 0 ही होगा❓❓❓
73 ka gidital kya aayaga sar replay
Sar hame thoda jaldi reply di jiye eska utar
What is your
Name master
Agar decimal mai answer ho to kaise karein ?
merey reserch karwa do phir sari duniya following karegi
stock market ka reserch karwa do phir sari duniya following karegi
7 6 ka aansar kha he dar
Digital sum 9 ho sakta nahi kya?
No , in that case digital sum will be zero
@@letsderive But Sir 9 is also a unit digit so why we are replacing 9 from 0,
Can you give a solid reason
And also if I get digital sum 0 to 8 by adding digit then it is acceptable?
merey reserch karwa do phir sari duniya following karegi artificial intelligence ka use karwa do phir sari duniya following kaegi
Heyyyyy
Brother kisi bhi number ka digital sum single digit aayega, i agree to that.. but how can digital sum of any number be ZERO.. ye samjha nahi.. something wrong bro
Digital sum nine is called zero
Digit sum hota h ye baccha bhi bta de.digital sum kya hota h 🤔
😂😂
534333 का डिजिटल सम 0 नहीं 9 है । पहले चेक कर लो फिर वीडियो बनाया करो
This is so awesome
❤️
बहुत ही बढ़िया काम किया है आपने, आपकों बहुत बहुत धन्यवाद। मेरे विचार से इस चैनल का नाम भी वैदिक गणित होना चाहिए।
nice