Define the operation $\spadesuit$ as $a\,\spadesuit\,b = |a- b|$ . What is the value of $2\, \spadesuit\,(4\,\spadesuit\,7)$?
To apply the operation $\spadesuit$, I need to subtract the two operands and take the absolute value of the difference. So, $4\,\spadesuit\,7 = |4-7| = |-3| = 3$. Now I have $2\,\spadesuit\,3$, which means I subtract 3 from 2 and take the absolute value of the difference. So, $2\,\spadesuit\,3 = |2-3| = |-1| = 1$. 