Multiplication
What is the value of 2 0 0 8 2 0 0 8 × 2 0 0 7 − 2 0 0 7 2 0 0 7 × 2 0 0 8 ?
The answer is 0.
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3 solutions
Nice solution. I am not able to provide L A T E X in my solution. :(
2 0 0 8 2 0 0 8 × 2 0 0 7 − 2 0 0 7 2 0 0 7 × 2 0 0 8
= 2 0 0 8 0 0 8 × 2 0 0 7
= 4 0 3 0 4 5 9 0 0 5 6
= 2 0 0 7 2 0 0 7 × 2 0 0 8
= 4 0 3 0 4 5 9 0 0 5 6
= 4 0 3 0 4 5 9 0 0 5 6 − 4 0 3 0 4 5 9 0 0 5 6
= 0
(20082008 × 2007) - (20072007 × 2008)
= ((20072007 + 10001) × 2007) - (20072007 × (2007 + 1))
= (20072007 × 2007 + 10001 × 2007) - (20072007 × 2007 + 10001 × 2007)
=
0
2 0 0 8 2 0 0 8 × 2 0 0 7 − 2 0 0 7 2 0 0 7 × 2 0 0 8 = 2 0 0 8 × 1 0 0 0 1 × 2 0 0 7 − 2 0 0 7 × 1 0 0 0 1 × 2 0 0 8 = 0