Multiplying By 9 (#2)

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Multiplying Decreasing Integers By 9 Minus 1:

A.  There is a pattern that develops when multiplying decreasing consecutive integers by 9:

1.  This method works, only if you are multiplying decreasing consecutive integers by 9 (the last number MUST end in 1) and then subtracting 1.

2.  Subtract 1 from the first digit and write it down.  Next, write the same number of 8's as in the number being multiplied.

Ex [1]  4321 x 9 - 1 = __________.

a.  4 - 1 = 3.  Write 3.

b.  Since there are 4 digits we write 4 8's. 

c.  The answer is 38888.

Ex [2]  7654321 x 9 - 1 = __________.

a.  7 - 1 = 6.

b.  Since there are 7 digits we write 7 8's.

c.  The answer is 688888888.

B.  As in the Multiplying By 9 (#1), be careful and make sure the question is subtracting 1 on the end.