(**) Multiplying by 12-19

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Multiplying By 12 – 19:

  1. You can multiply by 12, 13, 14, 15, 16, 17, 18, or 19 the same way.  For ease of writing, these numbers will be referred to as 1a, where a is the last digit.

1.  When multiplying "n" x 1a, first multiply a by the last digit of "n".  Write this number down, carry if necessary.

2.  Now multiply the remaining digits by a and add back to "n".  Write this result.

      Ex [1]   52 x 17 =________.

                        a)  7 x 2 = 14 so write 4 and carry *1.

                        b)  7 x 5 = 35 so add 35 + 52 = 87 + *1 = 88.  Write 88.

                        c)  The answer is 884.

                    Ex [2]   84 x 16 =_________.

                        a)  6 x 4 = 24 so write 4 and carry *2.

                        b)  6 x 8 = 48 + *2 = 50.  50 + 84 = 134.  Write 134.

                        c)  The answer is 1344.

                    Ex [3]   113 x 12 =_________.

                        a)  2 x 3 = 6 so write 6.

                        b)  2 x 11 = 22.  22 + 113 = 135.  Write 135.

                        c)      The answer is 1356.

  B.  Sometimes, as in Ex [2], it is easier to add the carried number first, before adding back to "n".

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