One student rewrote the expression $17·102$ as $17(100+2)$, and then simplified to get the expression $1700+34$.  

1. Are the three expressions equivalent? Justify your answer.

   Hint (a):

   Do you get the same answer when you evaluate all three expressions?

   More Help (a):

   $17(102)=17(100+2)=1700+34$ Is this true?

2. What property of numbers does this demonstrate?

   Hint (b):

   Do you recall what property allows you to distribute a multiplier of each term in a sum?