Facebook Guide: How to Add or Remove an Email Address

Open Facebook Settings
Tap your profile picture in the top-right corner. Select Settings and privacy, then choose Settings.
Find Contact Information
Open the Accounts Centre from Settings. Go to Personal details and select Contact info.
Add a New Email
Tap Add new contact, then choose Add email address. Enter your email, select the account and tap Next.
Verify Your Email
Check your inbox for Facebook’s confirmation code. Enter the code, tap Next and then Close.
Remove an Email Address
Select the email under Contact info and tap Delete email. Confirm the deletion. You may need to enter your Facebook password.
Change Your Facebook Email
Remove the old address before adding the new one. You can also manage your primary email and control who can see it.