## Multiplication by 11, 111, 1111 and so on…

I have added a new page to my website: Multiplication by 11, 111, 1111 and so on…

This is a special method of multiplication, that gives the answer in one line and mentally too.

Why not read this and surprise your friends with real fast calculations!!

## Multiplication by 9

I have added a new page to my website: Multiplication by 9

This is a special method of multiplication, that gives an answer in one line and mentally too.

Why not read this and surprise your friends with real fast calculations!!

## Multiplication by 11

I have added a new page to my website: Multiplication by 11

This is a special method of multiplication, that gives answer in one line and mentally too.

Why not read this and surprise your friends with real fast calculations!!

## All from 9 and the Last from 10

I have added a new page to my website: All from 9 and the Last from 10

This is a special formula or sutra that makes subtraction from base numbers very easy. The special application is when finding change in money problems.

Why not read this and surprise your friends with real fast calculations!!

## New topic added: Deficiency from 10

Hi,

I have added another topic today: Deficiency from Ten.

This is really interesting for the kids as it makes addition fun.

Enjoy!

## Marks

Marks are leaves which grow on tall trees

the ground has 0
the trunk has 20
the tree has 60
the top has 100

What we study is how to jump high, climb or use our intelligence to fetch those marks!

By my son Rishit Barnwal (2018)

## 9 -A Magic Number

9 is the largest 1-digit number and it has many unique properties.

We have already studied Nine Point Circle and it’s benefits in finding the digit sum.

• The digit sum does not change by adding  9 or subtracting 9 from it.
• The digit sum of any multiple of 9 is always 9.

Look at the table of 9:

9 × 1   =      9
9 × 2   =   1 8
9 × 3   =   2 7
9 × 4   =   3 6
9 × 5   =   4 5
9 × 6   =   5 4
9 × 7   =   6 3
9 × 8   =   7 2
9 × 9   =   8 1
9 × 10 =   9 0
9 × 11 =   9 9
9 × 12 = 10 8

On the right side of all products in every case, the digit sum is 9.
There is a unique observation in the above products. If you read the answers as two columns the left column goes up (1, 2, 3, . . .) and the right column goes down
(9, 8, 7, . . .).
This makes it easy to get the answers in the table of 9.

There is no need to remember the table of 9. We can use our fingers to multiply by nine.
Suppose the fingers of your hands are numbered as shown below: For example, multiply 3 by 9, simply fold down the 3rd finger.
You will find 2 fingers to the left of the folded finger and 7 fingers to the right.
So 3 × 9 = 27.

Why don’t you practice with your fingers and have fun!