Direktori Wisata Tirta 2012 (4)

8/12/2019 Direktori Wisata Tirta 2012 (4)

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Dhaval Bathia


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Dhaval Bathia

This is one of the fastest techniques of

multiplication

Helps you get the answer of anymultiplication problem in just one line !

We will begin with multiplication of two-

digit numbers


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We will use the 3 steps that are given below:

A) * *

* *

B) * *

* *

C) * *

* *


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Let us suppose we want to multiply:

2 3

x 1 2


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We follow step (A) as seen before:

A) * *

* *

2 3

X 1 2

6We get the answer as (3 x 2) equals 6.


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We follow step (C) as seen before:

A) * *

* *

2 3

X 1 2


72The final answer is 276


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Another example

Let us suppose we want to multiply:

3 4

x 1 1


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We follow step (A) as seen before:

A) * *

* *

3 4

X 1 1



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We follow step (B) as seen before:

B) * *

* *

3 4

X 1 1

4We cross-multiply and add. (3 x 1) + (4 x 1)

is 7.

7


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We follow step (C) as seen before:

A) * *

* *

3 4

X 1 14

We get the answer as (3 x 1) equals 3.

73

The final answer is 374


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More Examples:

3 2 3 1 1 4

x 2 1 x 1 2 x 2 16 : 3+4: 2 3 : 6+1: 2 2 : 8 + 1: 4

6 7 2 3 7 2 2 9 4


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Two-digit Multiplication With Carry-over

Example:

4 4

x 2 2


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Step (A) will be :

A) * *

* *

4 4

X 2 28

We get the answer as (4 x 2) equals 8.


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Step (B) will be:

B) * *

* *

4 4

X 2 28

We cross-multiply and add. (4 x 2) + (4 x 2)

is 16. We write 6 and carry-over 1.

6

1


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Step (C) will be:

A) * *

* *

4 4

X 2 28

We multiply (4 x 2) and get 8. We add the 1

carried over and get the final answer as 9

69


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3-digit Multiplication


a) * * *

* * *

b) * * *

* * *

c) * * *

* * *

d) * * *

* * *

e) * * *

* * *


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Step (A) will be :

A) * * *

* * *

3 0 2

X1 2 1



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Step (B) will be :

A) * * *

* * *

3 0 2

X1 2 1

2We get the answer as (0 x 1) + (2 x 2)

equals 4.

4


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Step (C) will be :

A) * * *

* * *

3 0 2

X1 2 1

2We get the answer as (3 x 1) + (0 x 2) + (2 x 1)

equals 5.

45


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Step (E) will be :

A) * * *

* * *

3 0 2

X1 2 1


4563


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Three-digit Multiplication With Carry-over

5 0 2

x 1 6 1

Example:


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Step (A) will be :

A) * * *

* * *

5 0 2

X1 6 1



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Step (B) will be :

A) * * *

* * *

5 0 2

X1 6 1

2We get the answer as (0 x 1) + (6 x 2)equals 12. We write 2 and carry-over 1.

2

1


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Step (C) will be :

A) * * *

* * *

5 0 2

X1 6 1

2We get the answer as (5 x 1) + (0 x 6) + (2 x 1)equals 7(plus 1carried over) equals 8

28

1


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Step (D) will be :

A) * * *

* * *

5 0 2

X1 6 1

2We get the answer as (6 x 5) + (1 x 0)equals 30. We write 0 and carry-over 3.

280

3


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Let us have a look at the steps used in

multiplication of four digit numbers


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4-digit Multiplication


a) * * * *

* * * *

b) * * * *

* * * *

c) * * * *

* * * *

d) * * * *

* * * *

e) * * * *

* * * *

f) * * * *

* * * *

g) * * * *

* * * *


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In this way, we can go on and multiply 5-digit, 6-digit, 7-

digit and bigger numbers

But rather than doing examples of every type, I will give

you a simple formula that you can use for all suchnumbers.

By learning the formula, you will be able to do any

multiplication problem.


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FORMULA

The number of steps to be used in any multiplication technique

can be found out by using the formula

2 x (number of digits) 1

Thus, when we multiplied 2-digit numbers, the steps used are

2 x 21 = 3

When we multiply 3-digit numbers, the steps used are

2 x 31 =5

When we multiply 4-digit numbers, the steps used are2 x 41 =7


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Just go a few slides back and carefully observe the

notation of steps used in 2-digit, 3-digit and 4-digit

numbers.

They follow a particular trend..

You can expand the same trend to multiply higher order

numbers..

Direktori Wisata Tirta 2012 (4)

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