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Math - A GAME OF NUMBERS, LETTERS, AND POSITIONS

PART - 3 - POSITIONS

Dear Friend:

You now know 1. You now know 10.

Do you know Hundred, Thousand, Million, Billion, Trillion, and Zillion?

These are all large figures or numbers using same basic 0 to 9 symbols or characters.

When you write eleven as 11, the number 1 in right most position (marked by *), which is also known as the first position, has a value of one. But the same number 1 in left, the second position (marked by #), has value of 10 - ten times the value of the first position. Ten plus one (10+1) makes eleven (11).

  # * TENS ONES
  10   1 0
+  1   + 1
=11 =1 1

When you write twenty-five as 25, the number 5 in the first position has value of five. First position is also known as Ones (marked by *). The number 2 in the second position has value of 20. Because second position has value ten times than the first position. 2x 10=20. Second position is also known as Tens (marked by #).

  # * TENS ONES
  20   2 0
+  5   + 5
=25 =2 5

 

As you go left, the value of the number in that position increases by tens. The third position has value of 100 – ten times than second position, fourth position has value of 1000 – ten times than position three and 100 times the position two, and so on.

Now, let us take example of hundred. Hundred is written as 100. There are 3 positions in hundred. When you add one to 99 what happens? 9+1=10, one goes to tens position and adds to 9.Which again makes 10 (9+1=10). One from that goes to third position. The third position has a value of hundred (marked by ").

   " # * HUNDREDS TENS ONES
     9 9

  9 9
+      1      +    1
=1 0 0    =1 0 0

 

Dear friend, thus we have only ten basic characters or symbols for the numbers but depending on the position the value of the number changes. You can take any large number or figure and you can tell its amount by counting the positions of its digits.

One little question. Who uses or plays with only two characters or symbols and does the entire math?

The answer is computer. Computer uses only two symbols-0 (zeroes) and 1 (ones) and does the entire math. All the figures and numbers in math are written using different combinations of 0 and 1 in computer. We call it a binary system, where 1 represents a current and 0 represents no current. When current passes it is one and when current does not pass it is zero.

You can convert any number, letter, picture or sound into zeroes and ones and zip... You can store it, send it around the world, or you can manipulate it the way you like. They call it conversion from analogue to digital system (binary system). 

GREAT!!!

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