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E:\Working\Focus_Learning\Math_Genius_4_(25-10-2023)\Open_Files\Chap-03
              \\December 6, 2023 1:25 PM   Bharat Arora   P-6           Reader _________________________   Date: ___________________74





              Vertical Method                                                                          th H t O

              Step 1:  Multiply 3 ones by 4.                                                                    1

                        3 × 4  = 12 ones = 1 ten 2 ones                                                 2   3 4 3

                        Write 2 in the ones column and carry 1 to the tens column. ×                                4
              Step 2:  Multiply 4 tens by 4.                                                                        2

                        4 × 4 = 16 tens and 16 tens + 1 ten (carried over)                             th H t O
                        = 17 tens = 1 hundred 7 tens                                                        1   1

                          Write 7 in the tens column and carry 1 to the hundreds                        2   3 4 3
                        column.                                                                      ×              4

              Step 3:  Multiply 3 hundreds by 4.                                                                7 2
                        3 × 4 = 12 hundreds and 12 hundreds + 1 hundred                                th H t O

                        (carried over) = 13 hundreds = 1 thousand + 3 hundreds                          1   1   1
                        Write 3 in the hundreds column and carry 1 to the                               2   3 4 3

                        thousands column.                                                            ×              4
              Step 4:  Multiply 2 thousands by 4.                                                           3 7 2

                        2 × 4 = 8 thousands
                        and 8 thousands + 1 thousand (carried over) = 9 thousands.                     th H t O

                        Write 9 in the thousands column.
                                                                                                        1   1   1
                        Thus, 2343 × 4 = 9372                                                           2   3 4 3

              Horizontal Method                                                                      ×              4

              Step 1: Expand 2343 as: 2343 = 2000 + 300 + 40 + 3                                        9   3 7 2

              Step 2: Multiply each place value by 4.

                            (2000 + 300 + 40 + 3) × 4                                      × 2000 300         40    3

              Step 3: Add the partial products.                                            4 8000 1200 160 12
                        8000 + 1200 + 160 + 12 = 9372

                        Thus, 2343 × 4 = 9372

              example 1:  Multiply 1251 × 5.                       example 2:  Multiply 3263 × 4.

              Solution:             tth th      H     t    O       Solution:            tth th       H     t    O

                                           1    2                                               1    2     1
                                           1    2     5    1                                    3    2     6    3

                               ×                           5                        ×                           4
                                           6    2     5    5                              1     3    0     5    2



              Mathematics-4                                                                                          55
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