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Basic Mathematical Shortcuts

Shortcuts for Addition:


Shortcut for addition of numbers close to multiples of ten (Eg: 19, 28, 39, 48, 59... etc..)

Eg:1)

118 + 29 (wirte 29 as (30-1))
= 118 + (30-1)
= 118 + 30-1
= 148 - 1
= 147.

(Here we have written 29 as (30-1), hence it has become a round figure which is now easy for calculation. Then we have added 30 to 118 which results 148. Now, subtract 1 which we have added. Your final answer will be 147. Isn't it simple?

In the same way try for the below value:

Eg:2)

125 + 58 = ?

Addition of Decimals:
Eg:1)

13.5 + 4.25
=(13 + 0.5) + (4 + 0.25)
=(13 + 4) + (0.5 + 0.25)
=17 + (0.5 + 0.25)
=17.75

In this example we have added rounded numbers first and decimal values later.

Keep practising until you feel comfortable with this technique for addition.


Shortcuts for Subtraction:

Eg:
350 - 196
=350 - (200 - 4)
=350 - 200 (+4)
=150 + 4
=154.

In order to make our calculation faster and simple we have added 4 to 196 which made it 200, it is very easy to subtract rounded values for us. Then we have subtracted 200 from 350 which gives us 150 and now, we have added the remaining 4. And, our result is 154.

Shortcuts for Multiplication:

Eg:1)
13 x 25
=13 x (5x5) (here we have written 25 as 5x5)
=(13 x 5) x 5
= 13 x 5 = 65 (we have added 13 with first 5, which results 65)
= 65 x 5 = 325 (now add 65 with remaining 5, that will give our answer)

Second Way:

13 x 25
=(13 x 20) + (13 x 5) (here we have distributed 25 as 20 + 5)13 x 25
=(260)+(65)13 x 25
=325

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