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               \ 04-Oct-2025  Bharat Arora   Proof-8                                    Reader’s Sign _______________________ Date __________





              BIGGER NUMBERS oN AN ABACUS

              We know that a two-spiked abacus is used to                                      A spike cannot have

              represent a 2-digit number.                                                       more than 9 beads.
              Let us show the number 59 on the abacus.
              It has 5 tens and 9 ones.                                            t    O

              So, we put 9 beads on the ones spike and 5 beads                     5    9
              on the tens spike as shown.


              WhAT CoMES AfTER, BEfoRE oR BETWEEN

              Look at the table below.

                           Before                            Between                              After
                The number that                    The number in                      The number that
                comes just before is               between is one less                comes just after is

                always 1 less than the             than the next number               always 1 more than the
                given number.                      and one more than the              given number.

                                                   previous number.
                              65               –1                66               +1               67


              Look at the number line.
                                       Before                   After


                             64          65          66          67         68          69          70
                                                  Between
                     65 comes just before 66 (65 is 1 less than 66).

                     67 comes just after 66 (67 is 1 more than 66).                    Challenge Question

                     So, 66 lies between 65 and 67.                               Identify the number that comes
                                                                                  between 70 and 68.

                    Think Tank                                                                            #Logical Thinking
                   What number between 60 to 69 has a digit in the ones place that is 1 more than the digit in the tens place?
                                                               Tens Ones



                   Also, write the numbers between which the above number lies.






               Teacher’s   Using a tailor/number tape, explain what comes just before, just after a number or what comes between two
                  Tip      numbers.




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