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Rules for rounding off numbers. 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. 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.
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.
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. 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.
Scientific notation, significant figures and rounding . Scientific or Standard Notation is best used to express very large or very small numbers in a compact, easy to read form, but can be used on any numbers. Simply, the basic format of the notation is. + n -> a positive index indicates a large number. 10n.
Significant Figure Rules. You can navigate to specific sections of this handout by clicking the links below. Determining Number of Significant Figures (Sig Figs): pg. 1. Addition/Subtraction: pg. 2. Multiplication/Division: pg. 2. Conversions: pg. 3. Sample Problems: pg. 4. Determining Number of Significant Figures (Sig Figs) .
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....
