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    E:\Working\Focus_Learning\Math_Genius_2_(09-10-2023)\Open_Files\Chap_05
                   \ 16-Feb-2024  Bharat Arora   Proof-6                                    Reader’s Sign _______________________ Date __________

                  MULTIPLYING A 2-DIGIT NUMBER BY A 1-DIGIT NUMBER

                  Multiplication without Regrouping

                  example: Multiply 23 by 3.

                  Solution:

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

                   numbers in columns                 3 × 3 = 9 ones                     2 × 3 = 6 tens
                   correctly.
                                                                    t    O                             t    O
                                  t   O                             2    3                             2    3
                                  2    3                        ×        3                         ×        3
                              ×        3                                 9                             6    9

                   Thus, 23 × 3 = 69

                  Let us see some more examples:

                       (a)      t    O                    t    O          (b)       t   O                    t    O

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

                                     8                    2    8                         8                   8    8

                           Practice Time 5E

                  Multiply the following. 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                    4    0                    3    3                    1    1
                       ×        4                ×        2                ×        3                ×        6

                  Mathematics-2                                                                                         103

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