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Depreciation is the planned, reduced value of an asset over time, due to wear and tear. An asset is defined as an expenditure that is used through multiple future accounting periods. If an asset does not have a utility, then it's considered an expense.
Wear and tear is damage that naturally and inevitably occurs as a result of normal wear or aging. Wear and tear is a form of depreciation which is assumed to occur even when an item is used competently and with care and proper maintenance.
Wear and Tear and Depreciation are essentially the same thing, but for tax and accounting purposes respectively. You can write off assets used for business purposes according.