Grounded Plug?

I came across a Weller 40 watt iron at Home Depot that had a super fine tip for $17.99. I was going to buy it ,but it didn’t have a grounded plug. I remembered reading somthing about non-grounded plugs could damage some electronics by creating static electricity. Is this true? This would be a great altenative to my radioSHACK 15watt. (you can’t do anythind decent with the radioshack)

I want an Hot air gun soooo bad but i’m on a low budget :cry: .