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Rules for rounding off numbers (1) If the digit to be dropped is greater than 5, the last retained digit is increased by one. For example, 12.6 is rounded to 13. (2) If the digit to be dropped is less than 5, the last remaining digit is left as it is. For example, 12.4 is rounded to 12.
SIGNIFICANT FIGURES. The amount of approximation required in a number may be described in another way by saying how many significant figures are required. To find how many significant figures a number contains count all figures in the number except zeros at the beginning or end of the number.
Significant Figures and Rounding – Explanations and Examples Read pages 18-22 in your Lab Manual for a more thorough discussion of the meaning of significant figures and how it relates to accuracy, precision, and error.
Significant Figures, Math, and Rounding Cheat Sheet. How to Determine Sig Figs..... 3. Captive zeros are significant. 1. Ex. 4. Trailing zeros are not significant unless a decimal is present. How to determine sig figs for multiplying and dividing....
Rounding is the process of reducing the number of significant digits in a number. This can help make it easier to remember and use. The result of rounding is a "shorter" number having fewer non-zero digits yet similar in magnitude.
The following rules are used to round-off final answers to their correct number of digits. If the digit following the last number to be retained is less than 5, all the unwanted digits are discarded and the last number is left unchanged.
There are three rules on determining how many significant figures are in a number: Non-zero digits are always significant. Any zeros between two significant digits are significant. A final zero or trailing zeros in the decimal portion ONLY are significant. Focus on these rules and learn them well.
