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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 __________





            lATTiCE MulTiPliCATion

            Finding the product using the lattice multiplication method is fun! It is a very interesting
            method.

            Multiplying by a 1-digit number

            Example 1. Find 73 × 4 using the lattice multiplication method.

            Solution.

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

                           7         3            Multiplicand                            7         3

                                           4     Multiplier                                               4


            Step 3.  Multiply 3 by 4, and write the                Step 4.  Multiply 7 by 4, and write the
                       product in the lattice below 3                        product in the lattice below 7
                       as shown.                                             as shown.

                                   7         3                                            7         3
                                           1        4                                   2         1       4

                                               2                                            8        2


            Step 5.  Add the digits along the diagonals as shown.                         7         3
                       The answer is read from left to right.                           2         1
                       Product = 292                                             2           8       2    4

            Therefore, 73 × 4 = 292.                                                    9       2

            Example 2.  Find 143 × 7 using the lattice multiplication method.
                                 1         4        3

            Solution.          0         2         2        7

                         1           7       8         1                                      Use regrouping while
                                0       0        1                                              adding the digits.
            Therefore, 143 × 7 = 1001.
            Example 3.  Find 2436 × 5 using the lattice multiplication method.

                                 2         4        3         6

            Solution.          1         2         1        3        5

                         1          0        0         5        0
                                2        1        8         0
            Therefore, 2436 × 5 = 12180.


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