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g.         5 × (2 + 3) = 5 × 2 + 5 × 3               h.    9 + (1 + 18) = (9 + 1) + 18

                  Properties :                                          Properties :



            2.  Fill in the blanks using the properties of subtraction.

                 a.  349 – _____   = 0              b.  798 – 798 = _____              c.  5179 – _____    = 5179
                 d.  1835 – 0 = _____               e.  _____   – 1234 = 0             f.   _____  – 5712 = 0

            3.  Fill in the blanks.
                 a.  134 × _________    = 245 × 134                b.  6213 × 270 = _________      × 6213

                 c.  519 × _________    = 3105 × 519               d.  8175 × _________     = 0
                 e.  _________   × 8367 = 8367                     f.   _________  × 93653 = 0


                 Carry On



              1.  Multiply three thousand two hundred by twenty.

              2.  Divide the successor of 6499 by 13.

              3.  Multiply eighty thousand by nine hundred.
              4.  The remainder in 367 ÷ 6 is _______________      .

              5.  The quotient in 60 ÷ 7 is __________________     .
              6.  What number when multiplied by the successor of 69 gives 2100 ?



            Estimation in Operations on Numbers

            In  the  previous  section,  we  have  learnt  to  round  off  the  numbers.  Rounding  off
            numbers helps us to get the required information which is an approximation. In our

            daily life, in many situations, we need not to use the exact numbers but estimate the
            numbers to get close enough result.

            Let us consider some examples to see estimation.
            Estimating Sums

            Example  :  Estimate the following sums to the nearest ten.

                            a.  53 + 39                  b.  45 + 33

            Solution  :

               a.   Actual Sum                 Estimated Sum          b.   Actual Sum                 Estimated Sum
                                   Rounding                                               Rounding
                       5     3     off to the        5     0                  4     5     off to the       5     0
                                   Nearest                                                Nearest
                  +    3     9                  +    4     0             +    3    3                  +    3     0
                                       10                                                     10
                       9     2     Nearest           9     0                  7    8      Nearest          8     0

                                       10                                                     10

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