Saturday, April 11, 2020

Addition in Mathematics

The beauty of Mathematics lies on the four basic arithmetic operations:-
  1. Addition  ( + )
  2. Subtraction ( - )
  3. Multiplication  ( x )
  4. Division (÷) 

ADDITION

     Generally, +  ( Read as "PLUS "  ) symbol is used from ancient times. The addition is written using the PLUS "+"  between the terms; that is, symbolically. The result is expressed with equals " = " symbols.
Addition in Mathematics

Addition can be learned as follows:-  

  •   BY ADDING SAME NUMBERS  ONE (1) 


  0 + 1 = 1  is read as (" zero plus one equals ONE")   
 What about 1 + 1 = ???  ( Answer is always 2)
      2 + 1 = 3 is read as  (" Two plus one equals THREE")   
      3 + 1 = 4  is read as (" Three plus one equals FOUR")   
  4 + 1 = 5 is read as  (" Four plus one equals FIVE")   
5 + 1 = 6  is read as (" Five plus one equals SIX")   
    6 + 1 = 7  is read as (" Six plus one equals SEVEN")   
 ...

  • BY ADDING SAME NUMBERS TWO (2) 

  0 + 2 = 2 read as  (" zero plus two equals TWO")   
     1 + 2 = 3 = 2 + 1   is read as (" one plus two equals THREE")   
    2 + 2 = 4 read as (" Two plus two equals FOUR")   
     3 + 2 = 5 read as (" Three plus two equals FIVE")   
  4 + 2 = 6 read as (" Four plus two  equals SIX")   
        5 + 2 = 7  read as(" Five plus two  equals SEVEN")   

  • BY ADDING SAME NUMBERS ZERO ( 0) 
    0 + 0 = 0  read as  (" zero plus ZERO equals ZERO")   
  1 + 0 = 1  read as (" one plus ZERO  equals ONE")   
   2 + 0 = 2  read as(" Two plus ZERO equals TWO")   
         3 + 0 = 3 read as(" Three plus ZERO  equals THREE")   
     4 + 0 = 4  read as(" Four plus ZERO  equals FOUR")   
  5 + 0 = 5  read as(" Five plus ZERO  equals FIVE")   
6 + 0 = 6 read as (" Six plus ZERO  equals SIX")   
 ...
Since the addition of zero in any numbers, results are similar to the number so ZERO is known as ADDITIVE IDENTITY.
  • BY ADDING DIFFERENT NUMBERS 

  1+ 2 = 3 is read as  (" ONE plus two equals THREE")   
       4 + 3 = 7  is read as (" FOUR plus three equals  SEVEN")   
     3 + 5 = 8 is read as   (" THREE plus five equals EIGHT")   
  7 + 2 = 9 is read as   (" SEVEN plus two  equals NINE")   
        5 + 6 = 11 is read as  (" FIVE plus six  equals ELEVEN")   
    6 + 6 = 12 is read as   (" SIX plus six equals TWELVE")   
 ...
The numbers or the objects  ( Like Pencils, Pens, Fruits, etc ) to be added in general addition are collectively referred to as the termsthe addends, or the summands.

Method of addition

Standard algorithm (Procedure) for adding any multidigit number is to arrange (align) the addends (Numbers to be added) vertically (In initial Stage) and add the columns starting from ones column on the right, such as;
   14
+ 23
____
   37
____

NOTE:-
 In above procedure, if sum of the column exceeds by nine then the extra digit is " transferred " into the just next column. The transferred digit is popularly called "carried" and the method is known as addition by carry.
   
  1
   47
 +16
____
   63
____



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