Lesson 3

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Lesson3

Multiplication by 5
It's often more convenient instead of multiplying by 5 to multiply first by 10 and then divide by 2. For example, 237x5=2370/2=1185
Same way you can also multiply by 50
Multiplication by 4
Replace either with a repeated operation by 2.For example 124x4=248·2=4
Multiplication by 25
Multiply first by 100 and then divide by 4 For example37x25=3700/4=1850/2=925.
Multiplication by 8
Replace either with a repeated operation by 2. For example 124x8=248x4=496x2=992.
Multiplication by 45
Multiply first by 90and then divide by 2.For example37x45=37x90/2=3330/2=1665
Or see this method also 37 x45 = 37 (100/2 -10/2)= 3700/2-370/2=1850-185=1665
Multiplication by 55
Multiply first by 110and then divide by 2. For example37x55=37x110/2=4070/2=2035
Multiplication by 75
Multiply first by 300 and then divide by 4 .For example37x75=37x300/4=11100/4=2775
Multiplication by 125
Multiply first by 500 and then divide by 4 For example37x125=37x500/4=18500/4=4625
Multiplication by 150
Multiply first by 300 and then divide by 2 For example37x150=37x300/4=11100/2=5550
Multiplication by 175
Multiply first by 700 and then divide by 4 For example37x175=37x700/4=25900/4=6475
Multiplication by 225
Multiply first by 900 and then divide by 4 For example37x225=37x900/4=33300/4=8325
Multiplication by 275
Multiply first by 1100 and then divide by 4
For example37x275=37x1100/4=40700/4=10175
A Great Time Saver
Q A music shop has a sound system marked at Rs. 14000 on which a sales tax of 12.5% is chargeable. Find the total value a customer
would have to pay for the sound system.
sales tax = 14000x12.5 = 14000x125 = 14x 500 = 7000 =1750
100 1000 4 4
Rs 14000+1750 =Rs15750 Answer

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Lesson 2

Lesson2

Multiplying a number by 11

To multiply any number by 11 we just put

the total of the two figures between the 2 figures.

32X11

Here first we write 2 of 32 extreme right ,now add up 3+2 =5 ,put 5 before 2 and write 3 extreme left .Required answer is

352

322x11

Write extreme right 2of 322 and add up 2&2 of 322 , 2+2=4 ,write 4 before 2 Now our partial answer is ...........42 .Again

add up 3&2 of 322 .3+2 =5 write before ..42 .Now our partial answer becomes ..542 .Put 3 before 5 . Now our required

answer is 3542

 77 x 11 = 847

                                                                        322

                                                                        ||| |

                                                                        ||| |                                                       

                                                                       3542

This involves a carry figure because 7 + 7 = 14

we get 77 x 11 = 7147 = 847

Multiplication of 22 ,33 ,44 ,55, 66 , 77 ,88

I think all of you understand this concept . It is a very useful tool ,with the help of this tool

now we learn multiplication of 22 ,33 .44 ,55. 66 . 77 ,88

22x45 =( 2x11)x45 = 11x(2x45)=11x90= 990

33x66 = (3x11)x66 = 11x(3x66)= 11x198= 2178

44x356=(4x11)x356= 11x(4x356)=11x 14 24=1 5664

55x58 =(5x11)x28 = 11x( 5x28) = 11x 140 = 1540

66x23 =(6x11)x23 = 11x(6x23) = 11x138 = 1518

Same way 77 =7x11 and 88=8x11

Multiplication of 11 is great time saver How ???

You can do calculations in Mensuration very fast by this tool

As you know value of p is 22/7 .You can break it as 2x11/7

Ex Find the area of circle of radius of 14 cm

(22/7)x14x14=11x2x2x14=11x56=616square cm

All calculation mentally, no rough work , a great time saver.

                                        Practice Test 2

Solve mentally these questions

Note down calculation time by your watch

(Suggested time 180 seconds)11 X 356 11 X 9587 587 X 22

33 X 52 44 X 897 758 X 88

121 X789* 11 X 9874 487 x99

Find the volume of a sphere of radius of 10.5 cm*

*Hints 121 X 789 = 11 X11 X789 = 11 X 8679=95469

volume of sphere = 4pr3

3

=4 x 10.5 x10.5x10.5 x22

3 7

= 4 x0.5 x 10.5x 10.5 x 22

= 2x2 x0.5 x 10.5x10.5 x22

= (2x 10.5)(2x10.5 )(0.5x22)

= 21 x21 x11

= 441 x11

=4851 cube cm

It seems to quite lengthy , actually it takes very little time . It is very tough to calculate 10.5x10.5 x10.5 conventionally.

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Quick Tips Lesson 1

Lesson1

These lessons are based on Vedic Maths" principles and other maths tricks.These principles are general in nature
and can be applied in many ways and very very useful in commercial arthematics. I hope all of you like these
lessons and make your calculation more fast and save lot of time in daily calculations and examinations or any
entrance test like CAT /IIT /BANK PO /ENGINEERING ENTRANCE TEST/PMT /MCA ENTRANCE TEST/MBA ENTRANCE
TEST etc etc
Method for multiplying numbers where the first figures are same and the last figures add to1 0
. 42 x 48 =
Both numbers here start with 4 and the last
figures (2 and 8) add up to 10.just multiply 4 by 5 (the next number up)
to get 20 for the first part of the answer.
And we multiply the last figures: 2 x 8 = 16 to
get the last part of the answer
2*8=16
42*48=2016
4*5=20

Method for multiplying numbers where the first figures add up 10 and the last figures are same 44X64
Here first figures are 4 and 6 and their add up 10 and unit figures of both number are same Just multiplying the last figures 4x4=16 Put
it at right hand side
Again multiplying the first figures and add common degit(4x6 )+4=24+4=28 put it at left hand side
Now we get required answer2816
Similarly 36x76 , 6X6 =36 right hand side , (3x7)+6= 21+6=27 left hand side
Required answer is 2736
NOTE If multiplication of last figures is less than 10 add zero before unit digit
Ex 81x21 , 1x1=01,( 8x2)+1= 16+1=17 Required answer 1701

Method for multiplying numbers where the first number"s add up10 and and the second number's digits are same 46X55

Here first number's add up is 10 and second number "s digits are common i.e 5
Just multiplying last figures of both numbers 6x5 =30 put it at right hand side
Again multiplying first figures of both numbers and add common digit of second number
(4x5)+5 =20+5 =25 put it left hand side
Required answer is 2530 ( If multiplication is in unit in first step add zero before it)

Multiplying numbers just over 100.
108 x 109 = 11772
The answer is in two parts: 117 and 72,
117 is just 108 + 9 (or 109 + 8),
and 72 is just 8 x 9.
Similarly 107 x 106 = 11342
HOW USEFUL IS THIS CALCULATION!

EXAMPLE 1
Compute the amount and the compound intrest on Rs 10000.00 on 2.years at4%per annum.
=1000*(1+4/100)^2
=104*104
Now 4x4=16 and 4+4=8 put 10 it becomes Rs 10816.00
How simple ! no calculation no extra time !
Practice Test 1
Solve mentally these questions
Note down your calculation time by watch
(Suggested time 90 seconds)
22 X 28 35 X 35 48 X 42
73 X 33 12 X 92 48 X 28
28 X 22 37 X 88 91 X 66
118 X105 109 X108 112 X106
91 X 99 33 X 37 55X55
Now check your answer with the help of a calculator

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