WOW this has been a slight challenge. To quickly recap, I was able to install raspbian using Noob, able to see the Pi3 desktop via HDMI connectivity, used zenmap to locate my Pi3 IP address - AND - was able to connect to the Pi3 via SSH using putty. GREAT!
After logging to my Pi, I used route -ne to find my default gateway IP. I wrote down the default gateway ip which was 192.168.1.1. I then looked for domain name server IP address using cat /etc/resolv.conf.
This list the server IP address the Pi uses to connect to the internet. which coincidentally was also 192.168.1.1.
Next edited the DHCPCD, sudo nano /etc/dhcpcd.conf
scrolled to the end of the file, and used the following code to set the static IP......
I saved the changes. Then typed sudo reboot to reboot the Pi.
Used SSH to log into the pi now using static IP 192.168.1.113
I tried to sudo ping www.google.com and received an error now saying host unknown.
Internet on the Pi itself was no longer working either. After several attempts, youtube video, articles from various websites, I was not able to get internet connectivity again. I even followed Chrismartin comments - and still no success.
Finally, I had to reformat the SD card, reinstall Noob, reinstall, raspbian to correct the problem; however, still connect set static IP without effecting internet connectivity.