Significant digits

Significant (Measured) Digits Measuring with Precision

Significant Digits (sd) ,[object Object],[object Object],[object Object],[object Object]

Rule 1: All nonzero digits are significant (they were measured) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Rule 2: All zeros between nonzero (or significant) digits are significant ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Translation: In between 0s must be measured

Rule 3: Zeros to the right of a nonzero digit but to the left of an understood decimal are NOT significant unless otherwise indicated. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Translation: 0s at the end of a whole number are NOT measured unless marked. (a bar over a zero indicates the last measured zero)

Rule 4: All zeros to the right of a decimal point but to the left of a nonzero digit are NOT significant. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Translation: 0s in front of a number less than 1 are NOT measured.

Rule 5: All zeros to the right of a decimal point and following a nonzero digit are significant ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Translation: 0s at the end of a decimal number are measured.

How to use this information when converting/evaluating measures ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

When converting measurements ,[object Object],[object Object],[object Object],[object Object]

How to use SD rules when multiplying/dividing ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Significant digits

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Significant digits