### 1. Short Trick to multiply 2 digit numbers:-

In this trick, we learn about ‘How to multiply two-digit numbers quickly’

**(i) AB × CD = AC / AD + BC / BD**

Let’s Take an example–>

**Ex.** 35 × 47

= 12 / 21 + 20 / 35

= 12 / 41 / 35

= 1645

[For solving this slash what you have to do is, simply write 5 then add that 3 in the next part then write 4 (1+3) and then add 4 in the next part that will be 16 then]

**(ii) AB × AC = A2 / A (B + C) / BC **

If question have first digit same in both numbers that we have to multiply. then solve by this formula!

**Ex. **74 × 76

= 72 / 7(4 + 6) / 4 × 6

= 49 / 70 / 24

= 5624

**(iii) AB × CC = AC / (A + B)C / BC**

**Ex.** = 35 × 44

= 3×4 / (3+5) × 4 / 5×4

= 12 / 32 / 20

= 1540

### 2. Short Trick to multiply 3 digit numbers:-

Let, the question given like that ABC × DEF (Here, A, B, C, D, E, F are integers ) then for solving these type of multiplication fast use this formula-

**ABC × DEF = AD / AE + BD / AF + BE + CD / BF + CE / CF**

Let’s take an example for this—>

**Ex.** 456 × 234

= 4×2 /4×3 + 5×2/4×4 + 5×3 + 6×2/5×4 + 6×3/6×4

= 8/12 + 10/16 + 15 + 12/20 + 18/24

= 8/22/43/38/24

= 106704

Hope you understood the trick!

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