Multiplication Made Easy (Part II)

Case II: Multiplication of numbers above the base.

Example 1:

What is 105 x 106?

Nearest base to both numbers are 100.

Step 1 (LHS):

105   +   5
106   +   6
—————————-
(105 + 6) or (106 + 5) = 111
—————————–

Step 2 (RHS):

(+5) (+6) = 30

Answer – 111/30

The Answer is 11130

Example 2:

What is 1003 x 1005?

Step 1 (LHS):

1003   +   3
1005   +   5
————————————–
(1003 + 5) or (1005 + 3) = 1008
————————————–

Step 2 (RHS):

(+3) (+5) = 15

Answer – 1008/15 – 1008/015 (Number of digits in RHS should be equal to Number of Zeroes in the base)

The Answer is 1008015

Example 3:

What is 10009 x 10014?

Step 1 (LHS):

10009 + 9
10014 + 14
——————————————–
(10009 + 14) or (10014 + 9) = 10023
——————————————–

Step 2 (RHS):

(+9) (+14) = 126

Answer – 10023/126 -> 10023/0126

The Answer is 100230126