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Addition Shortcut Tricks - Math Shortcut Tricks in hindi

 Hello friends ,mathsmell fast maths tricks in hindi me apka welcome  karte hai.Aaj mai apko adition and subtruction ke kuch aise shortcuts tricks (method) batane jarahe hai,jiske help se adition ke problem ko second me solve kar payenge.

Hum sab jante hain ki koi bhi exam chahe regular school exams or competitive exam jaise railway, bank ssc and other exam ho sabhi exams me direct or indirectly addition se questions puche jate hai.

Isliye dosto aaj mai apko addition ke kuch aise tricks batane jarehe jiske madad se app fast calculation kar payenge. isse pehle short tricks suru karne se age hum jan lete hain ki addition hote kya hai.
isye hum ek example ki help se janege
     Jab two or usse jada number ko ek sath jorte (adding)  hai, tube usse addition kehte hain. Addition ko mathematical symbol '+'  se denote kiye jate hai.

For example,  mann legiye apki pass 5 mango hai aur appki dost ke psss 4 mango hai. Dono ko milake kitne mango hai. Abb dono ki mango ko adding karna hoga,
5 mango + 4 mango = 9 mango or. 5 + 4 = 9.  Isse read karne ke sahi tarika hai five plus four is equal to 9.

Tricks:-

  • The sum of consecutive n natural numbers is= n(n+1)/2 . 

 Example:-1+2+3+4+5+6+7+8+9+10= ?  soln:- Here n=total number of digits =10, we know that, sum=n(n+1)/2=10(10+1)2= 55,ans.


  • The sum of consecutive n odd numbers = n^2.

 Example:- Find the sum of the number 1,3,5.7,9
Soln:- here n=5, therefore sum of number=5^2=25,ans.

  • The sum of first n odd numbers=(n+1/2)^2.
Example:- Find 1+3+5+7+9+11+13=?
Soln:- Here n=last digit=13, therefore, sum =(13+1/2)^2 =(14/2)^2=7^2=49,ans.

  • The sum of the first n even numbers=x(n/2+1) ,where x=n/2 .

Example;-  2+4+6+8+10 = ?
Soln:- Here n =10 and x =n/2 =10/2 =5 , therefore, sum x(n/2+1) =5(5+1) =30,ans.

  • The sum of the number from x to n = xn(n+1)/2 

Example:-  The sum of the numbers from 2 to 10 =?
Soln:- Here x =2 and n =10, therefore, sum =2.10(10+1)/2=10(11)=110,ans.

  • The sum of the squares of first n natural numbers =n(n+1)(2n+1)/6.

Example:- 1^2+2^2+3^2+.........+10^2 =?
soln:- Here n=10 and 2n =20 , therefore, sum =10(10+1)(20+1) = 385,ans.

  • The sum of the cubes of first n natural numbers =[n(n+1)/2]^2 
Example:- 1^3+2^3+3^3+.......+10^3 = ?
 Soln:- Here n=10, therefore sum [10(10+1)/2]^2 =[50+5]^2 =(55)^2 =3025,ans..
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