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    E:\Working\Orange_Education\TouchPad_Maths_4\Open_Files\Chap_03\Chap_03
                     \ 10-Nov-2025  Bharat Arora   Proof-8                                    Reader’s Sign _______________________ Date __________

                    Multiplying by a 2-digit number

                    Example 4. Find 74 × 38 using the lattice multiplication method.
                    Solution.

                    Step 1.  Write the two numbers in the                  Step 2.  Draw the diagonals of each cell
                              form of a table as shown.                              as shown.
                                       7      4                                               7      4

                                                   3                                                       3

                                                   8                                                       8

                    Step 3.  Multiply 4 by 3 and write the                 Step 4.  Multiply 4 by 8 and write the

                              product in the lattice below 4                         product in the lattice below 4
                              as shown. Do the same for the                          as shown. Do the same for the

                              product of 7 and 3.                                    product of 7 and 8.
                                       7      4                                               7      4
                                     2       1                                               2      1
                                         1      2  3                                            1      2   3

                                                                                            5       3
                                                   8                                                       8
                                                                                               6       2

                    Step 5.  Add the digits along the diagonals as shown.                      7     4

                              The answer is read from left to right.                         2      1      3
                              The product is 2812.                                     2        1      2
                    Therefore, 74 × 38 = 2812.                                         8     5  6   3  2   8

                                                                                          1       2
                    Example 5. Use the lattice                            Example 6. Find 2346 × 37 using the

                    multiplication method to find 236 × 24.               lattice multiplication method.
                    Solution.           2      3      6                   Solution.           2      3        4       6

                                      0      0       1      2                               0       0       1        1
                                          4      6       2                                     6                        8  3
                                0                                                     0                 9        2
                                      0       1      2                                      1                       4
                                 5        8      2      4   4                          8        4   2    1  2   8       2  7

                                    6       6      4                                     6        8     0       2
                    The product is 5664.                                  The product is 86802.
                    Therefore, 236 × 24 = 5664.                           Therefore, 2346 × 37 = 86802.

                                                                                                                  53
                                                                                                 Multiplication

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