(**) Multiplying by 75

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Multiplying By 75:

   A.  Many people use this method to multiply by 75.  However, some people prefer to use the FOIL Method or the Double and Half Method.  It is up to the individual’s preference.

1.  Think of 75 as being (3/4) x 100. 

2.   Divide by 4.

3.      Multiply by 3, and then multiply by 100. 

4.      If there is a remainder (r), then add 75r to the answer.

Ex [1]  84 x 75 =_________.

a)      84 ÷ 4 = 21.

b)      21 x 3 = 63.  63 x 100 = 6300.

c)      The answer is 6300.

Ex [2] 123 x 75 =_________.

a)      123 ÷ 4 = 30 with a remainder of 3.

b)      30 x 3 = 90.  90 x 100 = 9000.

c)      Since 3 is the remainder multiply 75 x 3 = 225 and add to 9000 or 9225.

d)      The answer is 9225.

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