# Fast Math Tricks and Shortcut for the Multiplication of 3 Digits& 4 Digits Numbers- Download in PDF

Fast Math Tricks and Shortcut for the Multiplication of 3 Digits& 4 Digits Numbers- Download in PDF:
Dear Friends, Useful Shortcut methods for Multiplication of 3 digits and 4 digits numbers which was more helpful to solve the aptitude questions faster in examination were given below, Candidates those who are preparing for the banking and all competitive exams can download and use it.

MULTIPLICATION OF NUMBERS BETWEEN (900-999):

The product can be determined by asimple multiplication and asubtraction.

EXAMPLE:
998 ร 997 = ?
Here, these numbers are nearer toโ1000โin the number system.
So their difference from โ1000โ is considered, i.e., [D1=1000-998=002]& [D2=1000-997=003]

GIVEN:
No.1 = 998;No.2 = 997
Difference, D1 = 002;D2 = 003

SOLUTION:
The multiplication is done between 3-digit numbers so theproductwill definitely be a6-digit number.
Theoneโs,tenโsandhundredthdigit of theproductwill be theproduct of D1 and D2
i.e., D1รD2 = 002ร003 = 006
Similarly, the 1st 3 digits of theproductwill be thedifference between No.2 and D1. i.e.,[No.2-D1 = 97-02=95]
Therefore,998ร997 = 995006
This method can be appliedto multiply 3-digit numbers whose difference from โ1000โ can be multiplied with each other easily.
988 ร 989 = ?
Here, No.1=988; No.2=989; D1=1000-988=12; D2=1000-989=11
Here, 12 ร 11 = 132
For the 1st3 digits of the product,No.2 โ D1 = 989-12= 977
Therefore,988ร989=977132
MULTIPLICATION OF NUMBERS BETWEEN (1001-1010):

Here the product can be determined by a simple multiplicationand an addition.

EXAMPLE:
1008 ร 1007 = ?
Here, these numbers are nearer toโ1000โin the number system.
So their difference from โ1000โ is considered, i.e., [D1=1008-1000=008]&
[D2=1007-1000=007]

GIVEN:
No.1 = 1008;No.2 = 1007
Difference, D1 = 008;D2 = 007

SOLUTION:
The multiplication is done between 4-digit numbers so theproductwill definitely be a7-digit number.
Here, the method is same as that of 3-digit multiplication except for a small change.
STEP 1: product of D1 and D2 is same i.e.,[D1รD2=008ร007=056]
STEP 2:Since the numbersare greater than 1000, thesum of No.2 and D1is taken
[No.2+D1=1007+08=1015]
Therefore, 1008ร1007=1015056
Check Below for More Math Shortcut Rules: