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    E:\Working\Brother_Education\Preparatory_Stage_Maths-3_(11-09-2024)\Open_Files\CHAP_04
                 \ 02-Nov-2023               Sonia Suyal   Proof-1                            Reader’s Sign _______________________ Date __________

                  Step 1: Multiply the ones.  Step 2: Multiply the tens.  Step 3: Multiply the hundreds.

                  3 ones × 3 = 9 ones                0 tens × 3 = 0 tens              1 hundred × 3 = 3 hundreds
                  Write 9 in ones column.            Write 0 in tens column.          Write 3 in hundreds column.
                                H t O                            H t O                               H t O
                                1 0 3                            1 0 3                               1 0 3
                             ×         3                      ×         3                         ×        3
                                       9                            0 9                              3 0 9

                  Thus, 103 × 3 = 309. That is, there are 309 questions in all in the 3 booklets.
                  Example:  Multiply 432 by 2.

                  Solution:       Step 1:  Multiply the    Step 2:  Multiply the  Step 3: Multiply the
                                          ones.                       tens.                         hundreds.
                                  2 ones × 2 = 4 ones        3 tens × 2 = 6 tens        4 hundreds × 2 = 8 hundreds
                                        H t O                           H t O                      H t O
                                        4 3 2                           4 3 2                      4 3 2

                                     ×         2                     ×         2                ×         2
                                               4                            6 4                    8 6 4
                                Thus, 432 × 2 = 864
                           practice time 4b

                  Find the product of the following.

                  1.        t    O          2.       t    O           3.       t    O           4.      H t O
                            3    4                   2    2                    3     0                   2 3 3
                        ×        2               ×        4                ×         3               ×         2

                  5.       H t O            6.       H t O            7.       H t O            8.      H t O

                           1 2 3                     4 5 3                     3 2 2                     2 1 2
                        ×         3               ×         1               ×         3              ×         4

                  Multiplication by a 1-Digit nuMber (With regrouping)
                  Multiplication of a 2-digit number by a 1-digit number

                  Arjun wants to buy 3 notebooks. Each notebook costs `38. How much money does he

                  need for it?
                  To know the amount required, let us multiply 38 by 3 using the given steps.
                  Step 1: Multiply the ones.                                                                        t O
                                                                                                                    2
                                8 ones × 3 = 24 ones                                                                3 8
                       Regroup 24 ones into tens and ones. 24 ones = 2 tens and 4 ones.                         ×       3

                            Write 4 in the ones column and carry over 2 tens in the tens column.                        4

                  72                                                                                    Mathematics-3

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