### Multiplication of Two Numbers Greater Than 100

#### Condition:

Any two numbers greater than 100. Preferably, the two numbers are close to 100.

__Example 1__
103 x 105 = ?

Steps:

- Find the difference of the two numbers with 100. For example, 103 is 3 greater than 100, hence the difference is +3. 105 is 5 greater than 100, hence the difference is +5.

- Add the numbers we obtained in step 1 to the multiplicand and multiplier in such a way that, the difference of the multiplier added to the multiplicand or vice versa. The answer obtained will be the last 3 digits of the product. (See image below).

- Find the product of the two numbers that we obtained in step a. In this case, they are +3 and +5. The product of this two numbers will be the first two digits.

- Combine the answer that we got in step 2 and step 3. 103 x 105 = 10815.

__Example 2:__
106 x 109 = ?

Difference of the numbers with 100:106 → +6

109 → +9

106 + 9 = 115

Product of the two "difference numbers"

(+6) x (+9) = 54

106 x 109 = 11254

__Example 3:__
103 x 102 = ?

Difference of the numbers with 100:

103 → +3

102 → +2

103 + 2 = 105

Product of the two "difference numbers"

(+3) x (+2) = 6

103 x 102 = 10506

Take note that, if the product of the complement is a single digit number, we make it double digit by adding a 0 in front of the number. For example, 6 become 06.

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