Multiplication Of Numbers with a Series Of 1's

This is a very short trick to find out the Multiplication of numbers with Series of 1's.In the previous blog we know the trick about Multiplication of numbers with series of 9's.

Note Down The below questions.

So The Trick is very Small.

Let's solve the 1st question.

Algorithm:

1.Take the unit digit of the number and place as the unitdigit of answer.

2.Add The Digits in ascending manner then descending from the right.

i.e; 1st add 2 digit then 3 digit then 4 digits.

(AS PER NO. OF 1'S)

so here two 1 is available.

3. Add 3+2=5

(If the addition become greater than 10 the pick the 1 to the left digit.)

4.make the Answer 352.

So let's move to the Second question.

Algorithm:

Do as per the above trick.

1.place 2 as the right digit.

2. Add 1st 2 digit i.e; 5+2=7

3. Then add another 2 digit 5+6=11

4 combine them to get answer

            ____2

            ___7

          11

          6

____________

7172

I KNOW YOU HAVE DOUBTS.SO ASK ME IN COMMENT BOX. DON'T HESITATE.

let's move to the third question.

Algorithm:

1.place 3 as right digit

2. Here no. Of 1 is 3.so we do 3 digit addition maximally.But starts from 2 digit addition.

3.add 0+3=3

4.add 2+0+3=5

5.add 2+0=2

6. Place the 2 as left digit.

So answer is 22533.

I REPEAT IF YOU HAVE ANY DOUBT PLEASE COMMENT ME.

Lets Take another Example.

201432×111

Algorithm:

The (2) in the units place of the multiplicand is written as the units digit of the answer

• We move to the left and add (2 + 3) and write 5

• We move to the left and add (2 + 3 + 4) and write 9

• We move to the left and add (3 + 4 + 1) and write 8

• We move to the left and add (4 + 1 + 0) and write 5

• We move to the left and add (1 + 0 + 2) and write 3

• We move to the left and add (0 + 2) and write 2

• We move to the left and write the single digit (2) in the answer.

Ex.210432×1111

AND the last two questions are H.W. For You.

Multiplication of Numbers With a Series of 9's

Everyone know that 9 is the biggest number among all one digit numbers.

If i asked You to do the following exercise in just 5seconds.Can you do it?

Can Notice That It is not one type.It is of 3 types.

1.No.of Digits in 1st Number is equal to no.of 9's

2.No.Of Digits in 1st Number is less than no. Of 9's

3.No. of digits in 1st Number is greater than no. Of 9's

Algorithm:

For Type(1):(Multiply a Number with an equal number of nines)

Ex: 654×999

1. Subtract 1 From the 654 and write as left part of the answer.

2.Now subtract the left Part of the answer from 999 and place as right part of the answer.

For Type(2):(Multiply a Number with higher number of nines)

Ex:45×999

1.Make eual digits as per the  numer of nines.

2.Do as before explained.

And Finally The last case is 

Type(3)(Multiply a Number With a lower number of nines)

1.Instead of Multiplying 99 we can do it as (100-1)

2.Subtract that number from the result.

Hope You will Remember it.

Squaring Of Numbers Between 50 & 60

I think you will not miss this trick.I had explain you a trick for squaring numbers but this trick help you very much.

This tricks only works for numbers between 50 and 60.But I want to say you that if you really like this tricks and read all this blogs carefully then you can find same trick with all numbers but you have to do some little changes.

Okay,Lets start.

In the above questions i will do only one and the other will remain for you.

Note: You should take 25 as your reference in all cases.

Algorithm:

1.Add 25 to the digit in unit place and put it as left part of the answer.

2.square the digit of unit place and put it as right part of answer.

(All are graphically mentioned)

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A Perfect Square

I think nobody knows these sillythings.

Did you ever notice that you are much slower in calculations.😥

Then not to worry i will teach you how to fast in calculation.

If i asked you to square the number 58 in just 2second.

I will give a trick to make this simple.

Before we go to the formula you must lookout the relationship.

I found this pattern astonishing. Next I tried numbers that add to 26 and got similar results. First I worked out 13²=169,

then computed 12 ×14 =168, 11×15 = 165, 10× 16 =160.

so by this rule i got that if you have to square a number take a nearest number that end up with '0' (to do more faster calculation).

Take another number which is also same difference of the before two numbers but take the opposite side.

Ex.if you 1st take in greater side the you have to choose in smaller side.

So here we Have to Calculate 13²

We simply do

1.16×10=160

2.3²=9

3.160+9

You can also do it as (14×12)+1²

0r (11×15)+2² or etc.

This is the task for you 

1. 98²=?

2.67²=?

3.85²=?

And also share and visit the site for more new tricks at. Math Tricks

A Quick Multiplication

If i asked You To solve 87×83 in 2second.

Can you do it??

If yes,Great

If no then alright i will teach you.

Let Me explain!

This Trick has Some merits and some demerits.

NOTE:

1.This Trick Only works for 2×2 Multiplication 

2.The addition of the right of the two numbers should be 10.

3.The left digit of the two number should be same.

How about the square of 85?Since8÷9=72, we immediately get 85×85= 7225.

We can use a similar trick when multiplying two-digit numbers with the same first digit, and second digits that sum to 10.

The answer begins the same way that it did before (the first digit multiplied by the next higher digit), followed by the prod-

uct of the second digits. For example, let’s try 83×87. (Both

numbers begin with 8, and the last digits sum to 3+7 =10.)

Since 8×9=72, and 3×7 =21, the answer is 7221.

😊 Now Its your Turn

Do it as described above

1.57×53=?

2.46×44=?

3.91×99=?