MATHS SHORTCUTS ## SHORTCUTS....

People think adding big numbers in mind is difficult.

Read this and practice this to do add numbers in mind easily.
Example 1:

Let's take an example,

847 + 499 = ????

Generally what we do in our traditional method is write down the numbers one below another and add them, this is difficult to do.

But use the following method,

8  4  7

+      4  9  9

-----------------------

Take a column and add the numbers say, 7 plus 9

Note: While adding don't take a number greater than '10', while adding when you get more than '10', make a mark(*) and subtract the number from '10'

In our case, 7 + 9 = 16, so make a mark in 9 and subtract 16 from 10, so 16 - 10 = 6.

Write down 6.

Count the number of marks made, here it is 1.

Write down 1.

8  4  7

+      4  9  9*

-----------------------

6

1

Take the second column, 4 plus 9, 4 + 9 = 13, so mark one (*) and 13 - 10 = 3.

Write down 3.

Count the number of marks made, here it is 1.

Write down 1.

8  4    7

+      4  9*  9

-----------------------

3    6

1     1

Repeat the same for each column and you will get as,

8   4  7

+      4*  9  9

-----------------------

2    3    6

1    1    1

Take these two numbers and add as shown below, add zero in front of first row and then add zero to the end of second row,

0  2    3  6

1   1    1   0

--------------

1  3  4  6

---------------

Answer of  847 + 499 is 1346

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Example 2....

Example 2:

Let's take an example,

7133 + 498 + 6192 + 520 = ????

Looks difficult??

Generally what we do in our traditional method is write down the numbers one below another and add them, this is difficult to do.

But use the following method,

7  1  3  3

+      4  9   8

+   6  1  9  2

+       5  2  0

-----------------------

Take a column and add the numbers say, 3 plus 8 plus 2 plus 0

Note: While adding don't take a number greater than '10', while adding when you get more than '10', make a mark(*) and subtract the number from '10'

In our case, 3+8 = 11, so make a mark in 8 and subtract 11 from 10, so 11 - 10 = 1, then continue 1 plus 2 = 3, then 3 plus 0 = 3.

Write down 3.

Count the number of marks made, here it is 1.

Write down 1.

7  1   3  3

+      4  9  8 *

+   6  1  9  2

+       5  2  0

-----------------------

3
1

Take the second column, 3 plus 9 plus 9 plus 2.

3 + 9 = 12, so mark one (*) and 12 - 10 = 2, then 2 plus 9 = 11, so mark two, 11 - 10 = 1, 1 plus 2 = 3.

Write down 3.

Count the number of marks made, here it is 2.

Write down 2.

7  1   3    3

+      4  9*  8

+   6  1  9   2

+       5  2* 0

-----------------------

3   3
2   1

Repeat the same for each column and you will get as,

7  1   3  3

+      4  9  8

+   6  1  9  2

+       5  2  0

-----------------------

3  1  3  3
1  1 2  1

Take these two numbers and add as shown below, add zero in front of first row and then add zero to the end of second row,

0 3  1  3 3
1  1  2 1 0

--------------

1 4 3 4 3

---------------

7  1   3  3

+      4  9  8

+   6  1  9  2

+       5  2  0

-----------------------

1 4 3 4 3
--------------------

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