### Playful Patterns and Puzzles Math Camp

Welcome Math Commanders!
Day 1 – Battle in the Polygon
Day 2 – Calculating Beauty
Day 3 – The Power of the Pyramid
Day 4 – Time to get in shape!
Day 5 – To Infinity and Beyond!
The Final Quest!

# Battle in the Polygon – Decimated by Decimals

Round 3: Wow, Round 2 was a thriller, with some surprising results! The fight is halfway over, I hope you’re getting closer to deciding the champion.  This round, we’re going to try and figure out the winner with some Algebra.  Don’t worry, if you haven’t studied algebra, or aren’t a fan, I’m going to walk you through it. First, let’s walk through a few warm-up problems.

1. $$2.99\times 10$$    2. $$.99999\times 10$$                    3. $$9.\bar{9}-.\bar{9}$$

Explorations