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E:\Working\Orange_Education\TouchPad_Maths_2\Open_Files\Maths_2_Chapter-05_New
               \ 14-Nov-2025     Bharat Arora   Proof-7                                    Reader’s Sign _______________________ Date __________





                mulTiPlyinG A 2-DiGiT numBER By A 1-DiGiT numBER

                multiplication without Regrouping
                Example. Multiply 23 by 3.

                Step 1. Arrange the given  Step  2. Multiply the  Step 3. Multiply the

                numbers in columns                    ones.                             tens.
                correctly.               T O                               T O                               T O


                                         2 3                               2 3                               2 3
                                     ×        3                        ×        3                       ×        3


                                                                               9                             6 9


                                                      3 × 3 = 9 ones                    2 × 3 = 6 tens

                So, 23 × 3 = 69.

                Some more examples:
                  a.                                                    b.         T O                         T O
                              T O                         T O

                              2    2                      2    2                   1   4                       1    4
                          ×        4                  ×        4              ×        2                   ×        2


                                   8                      8 8                          8                       2 8





                            Exercise 5E


                Find the product. One has been done for you.
                    1.       T O             2.       T O             3.       T O             4.       T O


                             1    2                   3 2                      2    2                   3 3

                         ×        4               ×        2               ×        3               ×        2

                             4 8


                    5.       T O             6.       T O             7.       T O             8.       T O

                             2    1                   5 0                      3 3                      1    1

                         ×        4               ×        1               ×        3               ×        6







                                                                                                              95
                                                                                             Multiplication
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