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    E:\Working\Orange_Education\TouchPad_Maths_4\Open_Files\Chap_04\Chap_04
                     \ 10-Nov-2025  Bharat Arora   Proof-8                                    Reader’s Sign _______________________ Date __________

                       2.  Find the quotient and remainder without doing long division.
                                               Quotient  Remainder                                Quotient     Remainder

                           a.    641 ÷ 100  _________  _________             b.    868 ÷ 100  _________         _________
                           c.    550 ÷ 100  _________  _________             d.    708 ÷ 100  _________         _________
                           e.    900 ÷ 100  _________  _________             f.    2365 ÷ 100  _________        _________

                           g.    3708 ÷ 100 _________  _________             h.    5064 ÷ 100 _________         _________
                       3.  Using the rule of division by 1000, find the quotient and remainder.

                                                  Quotient    Remainder                            Quotient    Remainder
                           a.    2033 ÷ 1000  ________  ________             b.    3655 ÷ 1000  ________  ________
                           c.    5009 ÷ 1000  ________  ________             d.    4603 ÷ 1000  ________  ________

                           e.    9300 ÷ 1000  ________  ________             f.    5784 ÷ 1000  ________  ________

                    eStimAting the QUotient

                    Estimation  means  finding  an answer  that  is close  to  the exact  one. It gives  us an
                    approximate value rather than the precise result.
                    To estimate a quotient, we round off the divisor, the dividend, or sometimes both to
                    their nearest tens, hundreds, or thousands, and then divide the rounded numbers.

                    This makes the calculation easier and gives an idea of what the actual answer will be.
                    example 1. Estimate the quotients by rounding the numbers to their highest place:
                                 a.  64 ÷ 14                                  b.  89 ÷ 26

                    Solution.  a.  64 ÷ 14                                    b.  89 ÷ 26
                                     64 rounds to 60                               89 rounds to 90

                                     14 rounds to 10                               26 rounds to 30

                                     So, 64 ÷ 14 → 60 ÷ 10                        So, 89 ÷ 26 → 90 ÷ 30
                                     We have  Q = 6, R = 0.                        We have Q = 3, R = 0.

                                     The estimated quotient = 6.                   The estimated quotient = 3.

                    example 2. Estimate the quotients by rounding the numbers to their highest place:
                                 a.  447 ÷ 38                                 b.  1856 ÷ 46
                    Solution.  a.  447 ÷ 38                                   b.  1856 ÷ 46

                                     447 rounds to 400                             1856 rounds to 2000
                                     38 rounds to 40                               46 rounds to 50

                                     So, 447 ÷ 38 → 400 ÷ 40                      So, 1856 ÷ 46 → 2000 ÷ 50
                                     We have  Q = 10, R = 0.                       We have Q = 40, R = 0.

                                     The estimated quotient = 10.                  The estimated quotient = 40.

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