<PRE><B>Question 357647</B>
A list of 1000 consectutive integers would look like this: &lt;br&gt;

x, x+1, x+2, x+3 ... x+999&lt;br&gt;

Notice if we had a list of four consecutive integers, it would be&lt;br&gt;

x, x+1, x+2, x+3&lt;br&gt;

By the same reasoning, the last term in 1000 consecutive integers would be x+999&lt;br&gt;

So, now we just need to find the difference between the first and last terms:&lt;br&gt;

{{{(x+999)-(x)}}}&lt;br&gt;

{{{999}}}&lt;br&gt;

&lt;b&gt;The difference between the greatest integer and smallest integer would be 999.&lt;/b&gt;&lt;br&gt;

I hope this helps!&lt;br&gt;</PRE>