Storing the price in both the Product table and the OrderItem table is NOT denormalizing if the price can change over time. Normalization rules say that every "fact" should be recorded only once in the database. But in this case, just because both numbers are called "price" doesn't make them the same thing. One is the current price, the other is the price as of the date of the sale. These are very different things. Just like "customer zip code" and "store zip code" are completely different fields; the fact that both might be called "zip code" for short does not make them the same thing. Personally, I have a strong aversion to giving fields that hold different data the same name because it creates confusion. I would not call them both "Price": I would call one "Current_Price" and the other "Sale_Price" or something like that.
Not keeping the price at the time of the sale is clearly wrong. If we need to know this -- which we almost surely do -- than we need to save it.
Duplicating the entire product record for every sale or every time the price changes is also wrong. You almost surely have constant data about a product, like description and supplier, that does not change every time the price changes. If you duplicate the product record, you will be duplicating all this data, which definately IS denormalization. This creates many potential problems. Like, if someone fixes a spelling error in the product description, we might now have the new record saying "4-slice toaster" while the old record says "4-slice taster". If we produce a report and sort on the description, they'll get separated and look like different products. Etc.
If the only data that changes about the product and that you care about is the price, then I'd just post the price into the OrderItem record.
If there's lots of data that changes, then you want to break the Product table into two tables: One for the data that is constant or whose history you don't care about, and another for data where you need to track the history. Like, have a ProductBase table with description, vendor, stock number, shipping weight, etc.; and a ProductMutable table with our cost, sale price, and anything else that routinely changes. You probably also want an as-of date, or at least an indication of which is current. The primary key of ProductMutable could then be Product_id plus As_of_date, or if you prefer simple sequential keys for all tables, fine, it at least has a reference to product_id. The OrderItem table references ProductMutable, NOT ProductBase. We find ProductBase via ProductMutable.