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    E:\Working\Focus_Learning\Math_Genius_3_(11-09-2024)\Open_Files\CHAP_04
                 \ 12-Sep-2024               Surender Prajapati   Proof-5                     Reader’s Sign _______________________ Date __________

                    Step 3:  Multiply the hundreds.                                                           H    t   O
                            2 hundreds × 4 = 8 hundreds                                                        1   2
                              8 hundreds + 1 hundred = 9 hundreds                                              2   4    5

                             Write 9 in the hundreds column.                                               ×            4
                              Thus, 245 × 4 = 980                                                              9   8    0

                  Example 2:  Multiply 383 by 6.
                                                                                                  Note
                  Solution:            th H t O                                     Practice  to keep  the  carry over
                                                                                    in mind.  It will  help  in doing the
                                        2   4   1
                                                                                    calculation fast.
                                            3 8 3
                                    ×               6
                                        2   2 9 8           Thus, 383 × 6 = 2298

                           practice time 4c

                  1.  Find the product of the following.

                       (a)      H t O          (b)      H t O            (c)     th H t O        (d)       th H t O

                                    8 8                  1 6 8                        6 9 4                     5 3 4
                             ×          9            ×          3              ×             8          ×              4

                  2.  Write in the columns and find the product in your notebook.

                       (a)  83 × 8                      (b)  77 × 6                      (c)  305 × 2
                       (d)  228 × 3                     (e)  326 × 5                      (f)  546 × 7

                  Multiplication by a 2-Digit nuMber

                  Multiplication of a 2-digit number by a 2-digit number

                  Example 1: Multiply 42 by 12.
                  Solution:  On expanding the multiplier, we find 12 = 10 + 2 = 1 ten and 2 ones. So, we
                              multiply the multiplicand 42 by 2 ones and 1 ten step by step as shown below.

                               Step 1:  Multiply 42 by 2 ones.

                                   42 × 2 ones = 84 ones                                         H t O
                                                                                                     4 2
                                    Write 84 as the first line product.                       ×      1 2

                                                                                                     8 4       1st product

                  74                                                                                    Mathematics-3

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