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Numbers With Multidigits

Discussion in 'Snippets of Life (Non-Fiction)' started by jayasala42, Jun 11, 2024.

  1. jayasala42

    jayasala42 IL Hall of Fame

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    Only for the past few years I am conversant with lakhs ,not to talk of higher numbers.
    Large numbers are numbers above one million that are usually represented either with the use of an exponent
    such as 10
    or by terms such as billion or thousand millions that frequently differ from system to system. The American system of numeration for denominations above one million was modeled on a French system, but in 1948 the French system was changed to correspond to the German and British systems. In the American system each of the denominations above 1,000 millions (the American billion) is 1,000 times the preceding one (one trillion = 1,000 billions; one quadrillion = 1,000 trillions). In the British system each of the denominations is 1,000,000 times the preceding one (one trillion = 1,000,000 billions) with the sole exception of milliard, which is sometimes used for 1,000 millions. In recent years British usage has reflected widespread and increasing use of the American system.

    The table provides American and British names for various large numbers.

    Depending on number of zeroes increasing by three at every step, the names of numerals change as milliard,trillion billion,quadrillion Thousand billion etc.
    Our nerves shake on seeing the number of zeroes extending upto GOOGOL,GOOGOLPLEX etc etc.

    Many writers lure us with billions and Trillions and not to talk of

    'googol' and'googolplex'.Now internet is the open book and it leads us

    to so many hitherto unknown areas.
    Normally in Us and scientific communities Trillion is 1 followed by 12 zeroes.
    In some other countries Trillion is used for the no1 followed by 18 zeroes.However US version is taken as standard.It is one lakh crores in

    India.( million million)

    While talking about Trillions I am reminded of an age old story very

    often told by my mother .Here the number is very familiar to us.

    There was a generous king.He used to distribute foodgrains,dresses

    and money to whoever came to him. Hundreds of people came to him

    daily to receive something or the other.

    A wise man was seeing all these things. He went to the king and told

    him"O king,I need an obligation. Pl give me Re one today,Rs 2

    tomorrow,Rs4 on the third day-like this for just 40 days. I will never

    come to you later in my life time.

    The king just laughed. "See,I have given so many things to so many

    persons. Your request is very simple. Do you think that your king will

    not be able to do this simple help to you?' The king ordered his officer

    to carry out the simple job.

    The man accepted Re1 on the first day, Rs2 on the 2nd day, Rs 4 on the

    third day Rs 8 on the 4th day.On the 10th day the man got Rs 512/only.

    The king said to his men"This man should be a fool to come daily to the

    palace just to receive the meagre amt.

    The process went on. On the 20th day the king had to give Rs5,24,288/

    to the man.

    The king thought for a while. Even then he could not assess the

    doubling speed. "After all only 20 days remain. Somehow I have to

    keep up my promise"the king said to himself.On the 30th day the king

    had to give a vast sum of Rs53,68,70912(Fifty three crores sixty eight

    lakhs,seventythousand,nine hundred and twelve rupees)

    The king's treasury was getting exhausted fast. The officers warned

    the king.The king realised his folly of having miscalculated.

    Yet his prestige didn't allow him to go back on his promise.

    On the 40 th day, the man came in a big cart. He received his due of

    Rs109521,66,60,480/( one lakh nine thousand five hundred and twenty

    one crores sixty six lakhs,sixty thousand four hundred and eighty


    He submitted to the king,"O king,True, you have been too generous to

    be foolish. I am sorry to make this remark to you. I know, by now your

    entire treasury would have become empty. Any thing that comes free of

    cost has no value.You can reward persons for their merits and hard

    work.Haven't you heard the proverb"aatril kottinaalum alandhu kottu

    .( Even if you want to throw away anything into a river,pl understand and

    measure what you throw) If you go on distributing the wealth ,there will

    be nothing left behind to face the crisis.I am giving back whatever I

    have received all these 40 days amounting to Rs215634,20,18,047(Two

    lakhs fifteen thousand six hundred and thirty four crores approx. that

    2.15 TRILLION RUPEES and my purpose was to teach you a lesson. I

    don't mind being branded as a fool."

    The king realised his mistake and heartfully thanked the wise man

    who accepted a token reward from the king.

    This small event which started with Re1/ has resulted in such a huge

    devastation within 40 days .We can imagine the magnitude of projects

    involving Trillions of dollars and crores of rupees for free distribution

    in India.

    Googol and googolplex need to be imagined only.

    They denote something less than infinity.

    For common man Trillion, googol or googolplex may be a thing of

    academic interest reg number of'0's following'1'.

    But for the Govt it may denote a warning symbol of themselves

    becoming mere zeroes.

    Though I am very much interested in numbers I did not know about

    Googol and Googolplex.I used to give Maths puzzles to my grand daughter

    Sarada,in Singapore. She used to get more puzzles from her teachers.

    She is very good in Maths. fifteen years back she challenged me that I may not

    be able to answer her question about googol and googolplex.I was able to answer

    her only after referring to internet and I accepted my defeat.

    Since she was only7 years old then,she had lot of confusion about 'google' and

    'googol'.Now a days I learn a lot from my grand children.It is a great delight to

    get defeated by the kids.

    Thyagarajan likes this.

  2. Thyagarajan

    Thyagarajan Finest Post Winner

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    Kudos to madam sister @jayasala42 .
    Super notes on value of zeroes after a digit.
    I wonder who invented to express a whole number as a power of some base number!
    While the post wonders about gargantuan numbers with over hundred zeroes followed after a single digit ‘one’ , i was thinking the names of numbers that denotes the smallest fractions that begins from milli and millionth etc.
    we think of nano and angstrom (Å) in physics. I think in sanskrit there are words to express numbers one divided by huge numbers containing hundreds of zeroes).
    The power of two tale retold here is nice but Tamil Kings were not using ₹ currency during those ancient days. But i suppose during Shivaji or Mysore Maharaj ....rupee currency was under circulation.

    I relish the statement that as grand parent we enjoy being defeated by our grand and great grand children!
    God Bless

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