Easy Multiplication of 5 digit numbers

Multiplication of two five digit numbers

Suppose we have to multiply two 5 digit numbers like

   3 5 4 1 2

x 2 6 3 4 1

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Easy Calculation

Division of any big number ending in five by any two digit number ending in five can be done with just mind calculation if you use the following technique:

Suppose let us take the example 1625 divided by 35

Fun Maths

If you multiply any three digit number by 11 and then again multiply the product with 91 then see the result.

For example

Let us take a 3 digit number 578

now 578 x 11 = 6358

then 6358 x 91 = 578578

see the number 578  repeats in the result

Can you prove this

Oct 31 = Dec 25..

Multiplying Consecutive Numbers

Suppose we have to multiply two consecutive numbers say n and n+1

then n x (n+1) = n² + n

If we take it in the reverse way, say (n-1) and n

then (n-1) x n = n² – n

We can apply this for speed calculation,

Measuring Oil

A boy went to an oil shop to buy oil with two bottles. One bottle of 5lts and the other of 3lts. Unfortunately the shop keeper didn't have the measuring vessel. The boy wanted 4lts of oil. How can the 4lts be measured using the bottles in the hand of the boy ?

Fun Numbers Part 3

One in numbers make it fun for its operations. Multiply one with any number the result will be the number itself same for the operation division also.. Let us check some operations with 1.

Cube of 3 digit numbers

Cube of 3 digit number

One easy method to find the cube of a 3 digit number.  let me put an example 462 ³

Squaring 3 digit numbers ending in 1

There is a short cut method for squaring 3 digit numbers ending in 1 rather than going for normal multiplication. If you can practice a bit with this method then you can square such numbers in mind itself. Let me explain the method with an example.

Arrange the Pebbles

A man had 1000 pebbles. These pebbles where given to him by his son for safe custody. The man planned to keep the pebbles in 10 bags and mark the number of pebbles in it, on the bag. He wants to fill the 10 bags so that if his sons asks for any number of pebbles randomly from 1 to 1000, he can return without opening the bags. How can the man arrange the number of pebbles in each bag to meet the requirement?

Squaring of 3 digit numbers ending in 5

Let me explain the easier method for squaring 3 digit numbers ending in 5 with an example:

Can you solve this

One for the clever people!
Please look at the math below: They say only people with an IQ with 120 and over are able to figure this out (?)
 
If:
2 + 3 = 10 
7 + 2 = 63
6 + 5 = 66
8 + 4 = 96
 
Then:
 
9 + 7 = ????

Fun Numbers Part 2

37 is another fun number. 37 is a prime number and reversing the number 73 is also a prime number. If you multiply 37 with multiples of 3 see:

Fun Numbers Part 1

A number is a mathematical object used to count and measure. A notational symbol that represents a number is called a numeral but in common use, the word number can mean the abstract object, the symbol, or the word for the number. There are certain numbers, when used for some operations gives interesting results. It is fun exploring such numbers. If these interesting numbers are kept in our memory it makes calculation easy for many problems

Mahalanobis

Prasanta Chandra Mahalanobis was born on 29 June 1893 Bikrampur, which is now in Bangladesh. Mahalanobis received his early schooling at the Brahmo Boys School in Calcutta graduating in 1908. He then joined the Presidency College, Calcutta and received a B.Sc. degree with honours in physics in 1912. He left for England in 1913 to join Cambridge. He however missed a train and stayed with a friend at King's College, Cambridge. He was impressed by the Chapel there and his host's friend M. A. Candeth suggested that he could try joining there, which he did. He did well in his studies, but also took an interest in cross-country walking and punting on the river. He interacted with the mathematical genius Srinivasa Ramanujan during the latter's time at Cambridge. After his Tripos in physics, Mahalanobis worked with C. T. R. Wilson at the Cavendish Laboratory. He took a short break and went to India and here he was introduced to the Principal of Presidency College and was invited to take classes in physics.

Sripathy

During Ninth Century, a then Indian kingdom called Mahodayapuram, which is currently in the state of Kerala currently called Kodungalloor there lived a king called Ravi Varma Devan. He built a star bungalow in which he invited great mathematicians of the time to stay. This made, Mahodayapuram to a mathematical research area until the eleventh century.

Find the numbers

Which are the lowest and highest nine digit perfect squares that include all the numbers from one to nine without the repetition of any number?

Pure

Two vessals contains equal amount of water and beer. 1spoon beer is added to water and mixed well. From this mixture 1 spoon is added to beer. Which of the liquids is more pure ?

Blaise Pascal

Seventeenth century the golden period in the history of mathematics. During this period lived some of the most famous mathematicians from Europe who had created revolutionary findings. Most of the development from central Europe was from Paris. One of the Significant names among these was Blaise Pascal. An extra ordinary Genius of his time, he was the youngest person to be invited to present his paper in the prestigious forum of Scholars of the time, which had later turned to the Paris Academy.

Aryabhatta

The most famous mathematician from India is Aryabhatta. He is popular all over the world for his most famous book called 'Aryabhateyam', which he had written when he was just twenty three.