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Question

You asked your mom to give a 2 digit number. She said 19. Then you asked your mom to give a 3 digit number and she said 109. Now, you both had to multiply 19 × 109.

The easiest method to find the answer using brackets would be:


A
19 × (100 + 9)
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B
(10 + 9) × 109
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C
(10 + 9) × (100 + 9)
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D
(25 - 6) × (110 - 1)
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Solution

The correct option is C (10 + 9) × (100 + 9)

The easiest way has to be (10 + 9) × (100 + 9)
= 10 × 100 + 10 × 9 + 9 × 100 + 9 × 9
Applying BODMAS, we get
= 1000 + 90 + 900 + 81
= 2071

This was the easiest because all the multiplication operations here were easier than any of the multiplication operations given in the other options. However, the result of all the options is same.


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