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               \ 02-Nov-2023  Bharat Arora   Proof-1                                    Reader’s Sign _______________________ Date __________





              eSTImATING SUmS AND DIFFeReNCe


              Estimation is the process of getting an approximate amount, sum or difference.


              examples:  1. Estimate 34. We found the range of 30-40 for the number line. The

                                 middle number is 35. The place for 34 is closer to 30. That means 34

                                 is estimated to be 30.


                                                  30   31   32   33   34   35   36   37   38   39   40



                             2.  Estimate 37. Here also, the place for 37 is closer to 40. That means

                                 37 is estimated to be 40.


                                                  30   31   32   33   34   35   36   37   38   39   40


              estimating Sums


              To estimate the sum, we round off each number to the nearest tens and then add

              the rounded-off numbers.


              example 1: There are 86 coconut and 42 chocolate cookies in a jar. Estimate the

              total number of cookies.

              Solution:  Round the numbers to the nearest ten and add.


                              For two-digit numbers, we can round the number to the nearest tens

                              place. That is only one place estimate.

                                     Actual sum                                        estimated sum
                                          8      6           Rounded up                        9       0


                               +          4      2          Rounded down          +            4       0

                                   1      2      8                                      1      3       0

                              There are approximately 130 cookies.


                              The actual number of cookies is 128.

                              The estimated sum differs from the actual sum by 2.




              Mathematics-2                                                                                          63
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