One letter apart, entirely different meanings, and no way to tell them apart by sound. This is a pure spelling problem rather than a usage one, which makes it a good candidate for a memory device — and there happens to be an unusually clean one. Both words come from the same root, oddly: medieval booksellers had fixed stalls rather than travelling, so a "stationer" was a seller who stayed put.
An adjective meaning not moving, fixed in place.
A noun meaning writing materials — paper, envelopes, pens.
Stationary and stationery sound the same and differ by one vowel near the end. Stationary is an adjective meaning not moving: a stationary car, a stationary bike, stay stationary. Stationery is a noun for writing materials: paper, envelopes, pens, and office supplies generally.
Both come from the same Latin word for standing still. Medieval booksellers had fixed stalls instead of traveling, and were called stationers; what they sold became stationery.
The standard memory trick: stationery with an e is for envelopes and letters. Stationary with an a means it is at rest, or stays in one place.
We need to order more stationary for the front desk.
✓We need to order more stationery for the front desk.
Office supplies are stationery, with an e for envelopes.
Traffic was stationery for twenty minutes.
✓Traffic was stationary for twenty minutes.
Not moving is stationary, with an a for at rest.
The gym has ten new stationery bikes.
✓The gym has ten new stationary bikes.
A bike that stays in one place is stationary.
Quick way to remember
Stationery contains an "e," and so does envelope — paper things. Stationary contains an "a," and so does "stay" — standing still. If you can picture it in a cupboard, it takes the "e."
Is stationer a real word?
Yes. A stationer is a person or store that sells stationery, and the word is where the spelling of stationery comes from.
Is it "a stationary front" in a weather forecast?
Yes, with an a. It is a weather front that is not moving.