If my wife doesn't work should she be a dependent?

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No, although you don't claim a spouse as a dependent you will receive a personal exemption for your spouse (whether they work or not) when your filing status is married filing joint.  Personal exemptions are the same amount for you, your spouse, and your dependents.

 See FAQ below: 

https://ttlc.intuit.com/replies/3301920

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Edited 2/1/17