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Multiplication and Division                                                                             47








                                                     MIND MAP











                                     Multiplication and Division




               Multiplication                            Division                                Division
          “Multiplication  is the       “Estimation means ‘Approximation’”.             “Division is the process
          repeated addition”.                                                           of repeated subtraction”.
          i.e. 4 × 3 = 12 = 3 + 3 + 3 + 3                PROCESS                        i.e.    12 ÷ 3 = 4
                                         1.  If the digit on the right of the rounding   or    12 – 3 – 3 – 3 – 3 = 0
                                            place is greater then or equal to 5 then
                                            add  1  to  the  digit  at  rounding  place      4 times subtraction
                                            otherwise donot change.
                  Process
               a × b = c                 2.  Replace  all  digits  to  the  right  of  the       Process
                                            rounding place by zeros.
            Multiplicand  Product                     APPLICATIONS                     Divisor  Dividend  Quotient
                  Multiplier
                                        7486  Round off tens   7490
                                                                                               Remainder
                                        8645  Round off hundred    8600



                         Properties

           �   We can multiply the given numbers in                             Verification
              any order                                          Dividend = Quotient × Divisor + Remainder
              i.e. 37 × 29 = 29 × 37 = 1073

           �   Product of a number and 1 is number
              itself                                                            Properties
              i.e. 65 × 1 = 65                             �   Number ÷ 1 = Number

           �   Product of a number and 0 is always 0
                                                           �   Number ÷ Number = 1
              i.e. 70 × 0 = 0                              �   Number ÷ 0 = Meaning less
           �   Multiply a given number by 10/100/1000      �   0 ÷ Number = 0
              then  add  corresponding  zeros  to  the
              right of given number.                       �   Dividing a number by 10/100/1000 then quotient  is
                                                              obtained by removing the digits corresponding to number
              i.e. 75 × 10  =  7 5 0                          of zeros in the divisor from dividend.
                                                                  75
                          871 × 100  =  8 7 1 0 0             i.e.         Quotient = 7 Remainder = 5
                                                                  10
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