How many numbers are there between 1001² and 1000²?
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number of numbers between two numbers a and b is a - b - 1 (. this excludes both the extremes i.e. a and b)
thus numbers between 1000^2 and 1001^2
= 1001^2 - 1000^2 - 1
= (1001 + 1000) ( 1001 - 1000) - 1
= 2001 x 1 - 1
= 2001 - 1
= 2000
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