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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 2: Multiply the tens.  3 tens × 3 = 9 tens                                               H t O
                       9 tens + 2 tens (carried over) = 11 tens. Regroup 11 tens into                           1   2

                            hundreds and tens.  So, 11 tens = 1 hundred 1 one.                                      3 8
                       Write 1 in the tens column and carry over 1 hundred in the                            ×          3
                            hundreds column.                                                                        1 4

                  Step 3:  Since, no other digit is in the hundreds column.                                     H t O

                       So, write 1 in the hundreds column of the product.                                       1   2
                                                                                                                    3 8
                       Thus, 38 × 3 = 114.                                                                   ×          3

                     Therefore, Arjun needs `114 for buying 3 notebooks.                                        1 1 4
                  Example 1:  Multiply 66 by 9.
                  Solution: Step 1: Multiply the ones.                                                         H t O

                               6 ones × 9 = 54 ones                                                                 5
                                                  = 5 tens 4 ones                                                   6 6

                               Write 4 in the ones column and carry over 5 in the tens column.               ×          9
                                                                                                                        4
                               Step 2: Multiply the tens and regroup.                                          H t O
                               6 tens × 9 = 54 tens                                                             5   5

                               54 tens + 5 tens (carried over) = 59 tens = 5 hundreds 9 tens                        6 6
                               Write 9 in the tens column and 5 in the hundreds column.                      ×          9
                               Thus, 66 × 9 = 594                                                               5 9 4

                  Multiplication of a 3-digit number by a 1-digit number

                  Siya's father is a fruit seller. He brings 4 boxes of mangoes to his shop.
                  Siya: How many mangoes are there in these boxes?

                  Father: There are 245 mangoes in each box. Can you find how many mangoes are there in all?
                  Siya: Yes, for this, I have to multiply 245 by 4.
                  Father: You are right! Follow the steps given below to find the product.
                  Step 1: Multiply the ones.                                                                     H t O

                       5 ones × 4 = 20 ones = 2 tens 0 ones                                                          2
                                                                                                                 2 4 5
                      Write 0 in the ones column and carry over 2 in the tens column.                         ×         4

                                                                                                                        0
                  Step 2:  Multiply the tens.                                                                    H t O

                     4 tens × 4 = 16 tens                                                                        1   2
                      16 tens + 2 tens = 18 tens = 1 hundred 8 tens                                              2 4 5
                         Write 8 in the tens column and carry over 1 in the hundreds column.                  ×         4
                                                                                                                    8 0

                  Mathematics-3                                                                                          73

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