This might just confuse beginners even more. "Wallet" is really a bad metaphor. A Bitcoin "wallet" is not a wallet at all. It's more like a key chain that contains the keys to access all of your Bitcoin addresses. "Address" is also confusing. A Bitcoin address is really more like an account identifier. You need a private key to access each of your "accounts," which are stored on a public ledger called the "blockchain."
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The term is misleading. People may think that they have bitcoins on their computers when the bitcoins are actually stored in a public ledger.