Question

what are significant figures​

Answer 1

The significant figures of a number are digits that carry meaningful contributions to its measurement resolution. This includes all digits except: All leading zeros.

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Answer 2

Here comes the answer

The significant figures (also known as the significant digits) of a number are digits that carry meaningful contributions to its measurement resolution. This includes all digits except:[1]

All leading zeros. For example, "013." has two significant figures: 1 and 3;

Trailing zeros when they are merely placeholders to indicate the scale of the number (exact rules are explained at identifying significant figures); and

Spurious digits introduced, for example, by calculations carried out to greater precision than that of the original data, or measurements reported to a greater precision than the equipment supports.

Of the significant figures in a number, the most significant is the position with the highest exponent value (the left-most in normal decimal notation), and the least significant is the position with the lowest exponent value (the right-most in normal decimal notation).

Significance arithmetic is a set of approximate rules for roughly maintaining significance throughout a computation. The more sophisticated scientific rules are known as propagation of uncertainty.

Numbers are often rounded to avoid reporting insignificant figures. For example, it would create false precision to express a measurement as 12.34525 kg (which has seven significant figures) if the scales only measured to the nearest gram and gave a reading of 12.345 kg (which has five significant figures). Numbers can also be rounded merely for simplicity rather than to indicate a given precision of measurement, for example, to make them faster to pronounce in news broadcasts or other things.

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