Shortcut 1

Squaring of numbers ending with “5” 652= 65×65=4225

But how,

There are two steps

- Put (5×5=25) in right side
- Then put {(6×6)+6}=42 in the left side
- Then we get 4225

Shortcut 2

If we have AB as a number so that B must be 5, then follow the below formula for easy remembering, AB2 = (A2+A) × 100 +B2

__Example__:

252 = (22+2) ×100+52

= 6×100+25=600+25=625.

Shortcut 3

Take two digit numbers say “AB” and “AC” so that, (B+C) =10, always Then, we should follow the below formula for easy remembering

AB×AC= {(A2+A) ×100} + (B×C)

__Example__:

42×48 = {(42+4) ×100} + (8×2) = 2016.

Shortcut 4

Let us take an example, 234×389=?

To find the answer very easily follow the below analysis,

For 200, (200×300=60000, 200×80=16000, 200×9=1800, then add all the results, we get **77800**)

For 30, (30×300=9000, 30×80=2400, 30×9=270, then add all the results, we get **11670**)

For 4, (4×300=1200, 4×80=320, 4×9=36, the adding all results we get **1556**) Now adding all the results (in **bold **letter) we get in the previous steps,

**77800+11670+1556=91026,**

This process is easier than the conventional multiplication process and we get the same answer if we directly multiply **234 **with **389**.

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