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               \ 01-Oct-2025  Bharat Arora   Proof-10                                   Reader’s Sign _______________________ Date __________





                             Step 3:  Add the products.                                 th H t O

                                     696 + 4640 = 5336                                       2 3 2
                                                                                     ×           2 3
                                         Thus, 232 × 23 = 5336
                                                                                             6 9 6         1st product
                                                                                     + 4     6 4 0         2nd product
                                                                                         5   3 3 6         Sum
              Example 4: Multiply 153 by 26.

              Solution:     Expand the multiplier 26 as 2 tens + 6 ones.
                                    Step 1:  Multiply 153   Step 2:  Multiply 153 by    Step 3: Add the products.
                                      by 6 ones.                 2 tens.                   918 + 3060 = 3978

                    153 × 6 ones = 918    153 × 2 tens

                                                         = 153 × 20 ones = 3060           th H t O

                             H t O                        th H t O                            1 5 3
                              1 5 3                            1 5 3                    ×        2 6
                           ×     2 6                    ×         2 6                         9 1 8       1st product

                              9 1 8       1st product          9 1 8       1st product  + 3 0 6 0         2nd product
                                                           3 0 6 0        2nd product     3 9 7 8         Sum


              Thus, 153 × 26 = 3978.


              lattice Multiplication

              We can also multiply the numbers using the lattice multiplication.

              Let us multiply 56 by 34 using this method.

              Step 1: Since 56 and 34 are both 2-digit numbers, draw a 2 × 2 grid.

                            Also, draw diagonal lines in each box as shown.




              Step 2:  Write the multiplicand on top and the multiplier on the right of the grid as shown.
              Step 3:  Multiply the numbers and write the tens place digit in the                          5     6
                       upper triangle of each box. Write the ones digit in the lower                     1      1  8  3

                       triangle of each box.                                                               5
                                                                                                         2      2
                                                                                                            0     4 4



               Teacher’s   Explain this with an example. If the answer is just one digit, write 0 in the top   4  0
                  Tip      triangle to help with place value. Like:                                     2        8





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