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The Justices of the United States Supreme Court, other than the Chief Justice, are termed Associate Justices. Currently they number eight. See Past Justices of the Supreme Court of the United States. Associate Justices are nominated for service by the President of the United States. Their nominations are then referred to the United States Senate for confirmation. If confirmed, they serve for life and can only be removed by resignation or impeachment.
Each of the Justices of the Supreme Court has a single vote in deciding the cases argued before them; the Chief Justice has no more authority than any other Justice. The difference is that the Chief Justice has certain adminstrative responsibilities that the other Justices do not.