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               \ 01-Oct-2025  Bharat Arora   Proof-10                                       Reader’s Sign _______________________ Date __________





              2.  Find the sum by expanding the addends.

                   (a)  217 + 562                   (b)  481 + 318                   (c)  645 + 152
                   (d)  516 + 273                   (e)  424 + 263                    (f)  385 + 512


              Addition of 3-digit numbers with regrouping

              Addition of 3-digit numbers by regrouping ones


              When we have more than 9 ones, say 12 ones, we can regroup 12 ones into 1 ten and 2
              ones. For example:

                                                                     Similarly, 2 tens and 16 ones can be regrouped
                                                                     as 3 tens and 6 ones as shown below.










                          1 ten 12 ones       2 tens 2 ones                2 tens 16 ones        3 tens 6 ones


              Rohit’s father runs a bakery.
              He got an order of 629 pineapple pastries and 353 chocolate pastries.

              Rohit: How many pastries do you need to make in all?

              Father: 982 pastries in all.

              Rohit: How did you get this number?
              Father: By adding 629 and 353.

              Let us learn how Rohit’s father added 629 and 353.

              Write the numbers in the place value columns.
              Step 1: Add the ones.                                                                       H   t    O

                        9 + 3 = 12 ones                                                                       1
                         Regroup 12 ones into 1 ten and 2 ones.                                           6   2    9

                         Write 2 in the ones column and carry over 1 ten to the tens                  + 3     5    3
                       column.                                                                                     2

              Step 2: Add the tens.                                                                       H   t    O
                        1 (carried over) + 2 + 5 = 8 tens                                                     1

                        Write 8 in the tens column.                                                       6   2    9
                                                                                                      + 3     5    3
                                                                                                              8    2





              Mathematics-3                                                                                          31
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