Multiplication tricks and tips in mathematics | Shortcuts in multiplications

Multiplication tricks for easy calculations | Math Tricks

Multiplication of numbers plays very important role in math calculation. In this page explained some quick multiplication tricks to save time in math calculations. Depend upon the given numbers we chose the different types of multiplication tricks.

Type -1 : Multiplication tips for 2digit by 2 digit , 3digit by 3 digit and 4digit by 2 digit numbers. please go through the below link

Easy shortcut multiplication tips for 2digit, 3digit and 4digit numbers.

Type -2 : The given numbers are near to 10, 100, 1000 ( It can be solved in single step by doing practice. Here for your understanding purpose given in step by step)

Example -1 : 94 x 96 = ?

Step-1: Find the value to roundup the given numbers i.e ( 94 + 6) & (96 + 4). i.e “-6” and “-4” ( Ans: _ _ _ _ )

Step-2: Multiplying the roundup numbers i.e – 6 x – 4 = 24 ( Ans: _ _ 24 )

Step-3: Add the roundup numbers for given numbers i.e (94 – 4 = 90) or ( 96 -6 = 90) ( Ans: 9024 )

See the below diagram for better understanding.

Example -2 : 112 x 107 = ?

Step-1: Find the value to roundup the given numbers i.e ( 112 – 12) & (107 – 7 ). i.e “+12” and “+7” ( Ans: _ _ _ _ _ )

Step-2: Multiplying the roundup numbers i.e 12 x 7=84 ( Ans: _ _ _ 84 )

Step-3: Add the roundup numbers for given numbers i.e (112+7 = 119 ) or ( 107+12 = 119) ( Ans: 11984 )

See the below diagram for better understanding.

Example -3 : 92 x 107 = ?

Step-1: Find the value to roundup the given numbers i.e ( 92 +8) & (107 – 7 ). i.e “-8” and “+7” ( Ans: _ _ _ _ _ )

Step-2: Multiplying the roundup numbers i.e (-8) x (+7) = -56. So add 100 for this i.e -56+100 = 44 ( Ans: _ _ _ 44 )

Step-3: Add the roundup numbers for given numbers i.e (92+7 = 99 ) or (107-9 = 99). A gain subtract 1 from 99 i.e 99-1 = 98 ( Ans: 9844)

See the below diagram for better understanding.

Example -4 : 981 x 1012 = ?

Step-1: Find the value to roundup the given numbers i.e ( 981+19) & (1012 – 12 ). i.e “-19” and “+12”

( Ans: _ _ _ _ _ _ )

Step-2: Multiplying the roundup numbers i.e (-19) x (+12 )= – 228. So add 1000 for this i.e -228+1000 = 772

( Ans: _ _ _ 772 )

Step-3: Add the roundup numbers for given numbers i.e (981+12= 993 ) or (1012-19 = 993). A gain subtract 1 from 993 i.e 993-1 = 992

( Ans: 992772)

See the below diagram for better understanding.

The above sum 981 x 1012 = ? can be solved by using simple algebra formulas.

=981 x 1012 = 981 x (1000 + 12 )

=981000 + (981 x 12 )

Again 12 write as 10+2

= 981000+[ 981 x (10 + 2) ]

= 981000 + 9810 + 1962 = 992773

Type -3 : Multiplying the numbers by 5, 25 , 125.

Example -5 : 125468 x 5 = ?

Here using simple logic i.e replace 5 with ( 10 / 2 ). So add zero for given number and divide with 2.

125468 x 5 = 1254680 / 2 = 627340

Example -6 : 685624 x 25 = ?

Here using simple logic i.e replace 25 with ( 100 / 4 ). So add two zeroes for given number and divide by 4.

685624 x 25 = 68562400 / 4 = 17140600.

Example -7 : 3549 x 125 = ?

Here using simple logic i.e replace 125 with ( 1000 / 8 ). So add three zeroes for given number and divide by 8.

3549 x 125 = 3549000 / 8 = 443625.

Type -4 : Multiplying the numbers by 11, 22 , 33 …..88

Example -8 : 58974 x 11 = ?

Here we can write answer in single step but for your understanding purpose given step by step

Step-1 : From 58974 take lost digit ( i.e 4 )and write in place of lost digit in your answer.

( Ans : _ _ _ _ _4)

Step-2 : From 58974 take lost and second digits and add it ( i.e 7 +4 = 11 ). Now take 1 and 1 carry over to next step.

( Ans : _ _ _ _ 14)

Step-3 : From 58974 take second , third digits and carry over number from lost step and add it ( i.e 9 +7 + 1 = 17 ). Now take 7 and 1 carry over to next step.

( Ans : _ _ _ 714).

Step-4 : From 58974 take fourth , third digits and carry over number from lost step and add it ( i.e 8+ 9 + 1 = 18 ). Now take 8 and 1 carry over to next step.

( Ans : _ _ 87 14).

Step-5 : From 58974 take first , fourth digits and carry over number from lost step and add it ( i.e 5+ 8 + 1 = 14 ). Now take 4 and 1 carry over to next step.

( Ans : _4 87 34).

Step-5 : From 58974 take first digit and carry over number from lost step and add it ( i.e 1+5 = 6 ). Now take 6 into the answer.

( Ans : 64 87 34).

See the diagram for easy understanding.