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    E:\Working\Focus_Learning\Math_Genius_3_(11-09-2024)\Open_Files\CHAP_03
                 \ 12-Sep-2024  Surender Prajapati   Proof-5                                  Reader’s Sign _______________________ Date __________

                  Titu: The distance between Bhopal to Jammu by road is around 1492 km and by flight
                  is 1117 km.

                  Sonu: It means we will travel 375 km less when we travel by flight.
                  Let us learn how Sonu finds the distance by flight is 375 km lesser than the distance by

                  road.
                  For this, subtract 1117 by 1492 by using the following steps:

                  Step 1:  Write the smaller number below the bigger number in columns.
                           Since, 7 ones < 2 ones, so, we regroup the tens into ones.                    th H      t    O
                           9 tens 2 ones = 8 tens 12 ones.                                                         8   12

                           Now, subtract the ones.                                                        1    4   9    2
                           12 ones – 7 ones = 5 ones                                                   – 1     1   1    7

                           Write 5 in the ones column.                                                                  5
                  Step 2:  Subtract the           Step 3: Subtract the                 Step 4: Subtract the

                           tens.                  hundreds.                            thousands.
                           8 tens – 1 ten =  4 hundreds – 1 hundred = 3                1 thousand – 1 thousand = 0
                           7 tens                 hundreds.                            thousands

                           Write 7 in the         Write 3 in the hundreds              Write 0 in the thousands
                           tens column.           column.                              column.

                           th H      t   O                   th H      t   O                      th H      t   O

                                     8   12                            8   12                               8   12
                            1   4    9    2                   1   4    9   2                       1   4    9    2
                         – 1    1    1    7                – 1    1    1   7                    – 1    1    1    7
                                     7    5                       3    7   5                       0   3    7    5
                            Thus, 1492 – 1117 = 375.

                  Example 2: Subtract 5189 from 9258.
                  Solution:   Write the numbers in correct place value columns and subtract using the
                                 following steps:                                                        th H      t    O
                                 Step 1:  Subtract the ones. Since, 8 < 9, so regroup the                          14

                                          tens into ones to subtract ones.                                     1   4   18
                                                                                                          9
                                           5 tens 8 ones = 4 tens 18 ones                              – 5     2   5    8
                                                                                                                        9
                                                                                                               1
                                                                                                                   8
                                           Now, 18 ones – 9 ones = 9 ones                                 4    0   6    9
                                 Step 2:  Subtract the tens. Regroup the hundreds into tens
                                          to subtract the tens.

                                           2 hundreds 4 tens = 1 hundred 14 tens
                                           14 tens – 8 tens = 6 tens

                  Mathematics-3                                                                                          55

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