Page 110 - Start Up Mathematics_1
P. 110

Multiplication by Carrying Over


            Look at the given examples.

                          T     O
              1.          1                       Step 1:  Multiply the digit at the ones place by 2.
                         3      8
                                                            If the result is a 2-digit number, keep the

                    ×           2                           ones and carry over the tens.

                                6                           8 × 2 = 16

                                                             Keep 6 in the ones column and carry over
                                                            1 to the tens column.


                          T     O
                          1                       Step 2:  Multiply the digit at the tens place by 2.
                         3      8
                                                            Add the carried over number to the result.

                     ×          2                           3 × 2 = 6      6 + 1 = 7

                         7      6                           Write 7 in the tens column.

                                                            So, 38 × 2 = 76.



                         H      T      O
              2.                4      5          Step 1:  Multiply the digit at the ones place by 3.
                                1
                                                            If the result is a 2-digit number, keep the

                    ×                  3                    ones and carry over the tens.

                                       5                    5 × 3 = 15
                                                             Keep 5 in the ones column and carry over

                                                            1 to the tens column.


                         H      T      O
                          1     1                 Step 2:  Multiply the digit at the tens place by 3.
                                4      5
                                                            Add the carried over number to the result.

                    ×                  3                    If  it is  a  2-digit  number,  keep  the  ones
                                                            and carry over the tens to the hundreds
                                3      5                    column.


                                                            4 × 3 = 12      12 + 1 = 13

                                                             Keep 3 at the tens place and carry over 1
                                                            to the hundreds column.




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