Sunday, December 26, 2021

Multiplying By 12-19 - Short cut


 Multiplying By 12-19


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

1. When multiplying "n" x la, 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 12] 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 13] 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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