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From: Webster's Revised Unabridged Dictionary (1913)

 Sig·nif·i·cant a.
 1. Fitted or designed to signify or make known somethingl having a meaning; standing as a sign or token; expressive or suggestive; as, a significant word or sound; a significant look.
    It was well said of Plotinus, that the stars were significant, but not efficient.   --Sir W. Raleigh.
 2. Deserving to be considered; important; momentous; as, a significant event.
 Significant figures Arith., the figures which remain to any number, or decimal fraction, after the ciphers at the right or left are canceled. Thus, the significant figures of 25,000, or of .0025, are 25.