Washington, DC abuts the borders of Maryland and Virginia. Some of its suburbs lie within those states.
A Washington/Virginia Zone xx number will be a number for a Virginia suburb of Washington, DC. The zones are for particular parts of the city. Most large US cities are subdivided into zones and numbers are assigned on the basis of the zones.
You can use the website
http://www.localcallingguide.com to determine if the number you are being offered will be a local call where you need it to be.
Washington's local phone numbers are all +1-202, if you want a native Washington number. Many VoIP providers have them.