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              \\December 8, 2023 9:53 AM   Bharat Arora   P-6           Reader _________________________   Date: ___________________74





              Solution:

                (a)     100   876 8               (b)  100      3438 34          (c)  100     65032 650
                            –  800                            – 300                        –  600
                                76                                438                          503
                                                              –   400                      –   500
                      Q = 8, R = 76                                38                             32



                                                         Q = 34, R = 38               Q = 650, R = 32
                  Alternatively,


                (a)      H t O                    (b)    th H t O                 (c)  tth th H t O
                         8 7 6 ÷ 100                      3   4 3 8     ÷ 100           6     5 0 3 2       ÷ 100
                                   = 8 R 76                             = 34 R 38                           = 650 R 32

                     Quotient Remainder                Quotient Remainder               Quotient Remainder

              Therefore, when a number is divided by 100, the digits

              in  the tens and  ones places  form the  remainder  and                        Think and Answer
              the remaining digit(s) form the quotient.                                   Divide your birth year by
                                                                                          10, 100, and 1000. What
              Division by 1000                                                            do you get as quotient and
                                                                                          remainder in each case?
              example 3: Divide each of the following by 1000.

                (a)  6429                         (b)  67322                     (c)  990315

              Solution:


                (a)   1000   6429 6               (b)  1000 67322 67             (c)  1000   990315 990         Q
                           – 6000                           –  6000                        –  9000

                               429                               7322                          9031
                     Q = 6, R = 429                         –    7000                      –   9000
                                                                  322                            315 R

                                                       Q = 67, R = 322                 Q = 990, R = 315
                  Alternatively,

                (a)   th H t O                   (b)   tth th H t O                 (c)  L tth th H t O

                       6   4 2 9      ÷ 1000            6     7 3 2 2      ÷ 1000      9    9    0   3 1 5     ÷ 1000
                                      = 6 R 429                            = 67                                = 990
                                                                           R 322                               R 315
                     Quotient Remainder                Quotient Remainder                Quotient Remainder

              Therefore, when a number is divided by 1000, the digits in the hundreds, tens and

              ones places form the remainder and the rest of the digit(s) form the quotient.


              78                                                                                    Mathematics-4
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