Welcome to the forum.
...Let's go
The combinations are many.
That depends on the wallet or Exchange.
In wallets, there is a premise do not send less than 5 times the value of the fee.
why ?
A: In the long term money is lost, simple.
1.- E.g. paying with the wallet electrum a minimum fee ... of rounding (which can be more but, come on! let's speculate to a matter of merely school) 122 sat (this depends on sat/b), then The minimum should be Sat 610. What you can send less, yes! but the point is for you want to send less than that or at least $ 1: so when.
-The case of the OP
-You want to verify the address before sending, a significant amount.
-you need to make a minimum deposit to withdraw a prize, bounty.
-you want to make a deposit and live the experience.
In other Wallets you can not send less than the amounts established by them (Wallets).
2.- Atomic Wallet charges between $ 0.45- $ 0.70 (approximate values), that is, in your case it would be a minimum amount of $ 1.45
There are Wallets and Exchanges that can send between users of the same network (not bitcoin network) sat or BTC.
In reality, those who think to sell something for $ 1 and get paid in bitcoins. Let's go! which is fine as a practical exercise to explain.
Simply, the only suitable thing here is to know what your technical resources are to receive a $ 1, expecting them to be 10,000 products, which does make sense there.
So I recommend you, just use e.g. an electrum address.
It is already a buyer's problem if it says payment with bitcoins.
Add other traditional wallets to your fund management, for example Advcash does not charge a fee for shipments between users and you can use it in binance without problems, they are now trading partners.
I hope you don't just understand the point of selling a single thing for less than $ 10 in bitcoin, also make him see that there are other more profitable routes to selling what you are trying for $ 1.
