Page 60 - Mathematics
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Example 3.19                              Solution



            Estimate the value of 256.5 63.5÷          58.34 109.8×  ≈  60 110×
                                                       2.23 47.56×     2 50×
            Solution                                                 6600
            Round off both numbers to the nearest                           ≈  100
            ones.                                                    66

            256.5 256≈    to the nearest ones and                           ≈
            63.5 64≈   to  the nearest  ones.  It     Example 3.22
    Tanzania Institute of Education
            follows that,
             256.5 63.5 264 64÷  ≈  ÷                 A box can contain 7 pencils. There are
                                  4≈                  251 pencils to be packed in these boxes.
                                                      Approximate the required number of
            Therefore,  256.5 63.5÷  ≈  4.
                                                      boxes and determine the number of
                                                      pencils which will be left unpacked.

            Example 3.20                              Solution
                                                      The number of boxes can be obtained by
                                3.485×   35.82
            Estimate the value of                     dividing the total number of pencils to be
                                    351.25            packed by the number of pencils which a
            correct to 1 decimal place.               box can hold.

            Solution                                  Thus, number of boxes =  251

             3.485×   35.82  ≈  3.5×  36                                        7
                 351.25          350                                                          35.857=
               3.5 6×                                 If the number of boxes is
              ≈                                       approximated to 36, then
                350
                                                      36 × 7 = 252 which exceeds the
              0.06≈                                   available number of pencils. If the

              0.1≈   correct to 1 decimal place.      number of boxes is rounded down
    Mathematics Form One  Example 3.21  58.34 109.8×  .  unpacked.
                                                      to 35, it gives 245 packed pencils,
                                                      which means 6 pencils will remain



                                                      Therefore, 35 boxes are required and 6
            Estimate the value of
                                  2.23 47.56×
                                                      pencils will be left unpacked.





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                                                                                        25/10/2024   09:51:15
   Mathematics form 1.indd   54                                                         25/10/2024   09:51:15
   Mathematics form 1.indd   54
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