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    E:\Working\Orange_Education\TouchPad_Maths_4\Open_Files\Chap_01\Chap_01
                     \ 10-Nov-2025  Bharat Arora   Proof-8                                    Reader’s Sign _______________________ Date __________

                    rounding to the Nearest 10

                    To round a number to the nearest 10, first find the two tens between which the given
                    number lies. Then, choose the ten which is nearer to the given number.

                    example 1. Round 54 to the nearest 10.

                    Solution.
                                      50     51     52     53     54     55     56     57     58     59    60

                    54 lies between 50 and 60 but it is closer to 50.
                    So, 54 rounds to 50.

                    example 2. Round 675 to the nearest 10.

                    Solution.
                                     670     671   672    673    674    675    676    677    678    679    680
                    675 lies exactly between 670 and 680.

                    So, 675 rounds to 680.

                    If a number is exactly between the two tens, it is always rounded to the higher ten.
                    example 3. Round 247 to the nearest 10.

                    Solution.
                                     240     241   242    243    244    245    246    247    248    249    250
                    247 lies between 240 and 250 but it is closer to 250.

                    So, 247 rounds to 250.

                    rounding to the Nearest 100

                    To round a number to the nearest 100, first find the two hundreds between which the
                    given number lies. Then, choose the hundred which is nearer to the given number.

                    example 4. Round 167 to the nearest 100.
                                                                                   167
                    Solution.
                                     100     110   120    130    140    150    160    170    180    190    200

                    167 lies between 100 and 200 but it is closer to 200.

                    So, 167 rounds to 200.

                    example 5. Round 346 to the nearest 100.

                                                                      346
                    Solution.
                                     300    310    320    330    340    350    360    370    380    390    400
                    346 lies between 300 and 400 but it is closer to 300.

                    So, 346 rounds to 300.

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