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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:  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 by using a method called Lattice multiplication.

                  Let us multiply 56 by 34 using lattice multiplication as shown below.

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

                                Also, draw diagonal lines in each box as shown alongside.

                  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 and the ones digit at the lower                        1      1  8  3
                           triangle of each box.                                                               5
                                                                                                             2      2
                                                                                                                0     4 4

                   teacher’s                                                                            4
                      tip      Explain to children with example, if after multiplication, the product is only one-  0
                               digit, then put a '0' in the upper triangle. Like.                           2        8

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