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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.
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.
Rules for rounding When making calculations with measured values, the answer will need to be rounded to the correct number of significant figures according to the following rules. 1) Round down whenever the digit following the last significant figure is a 0,1,2,3, or 4. a. For example, 30.24 becomes 30.2.
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 Worksheet. 1. Indicate how many significant figures there are in each of the following measured values. 2. Calculate the answers to the appropriate number of significant figures. 3. Calculate the answers to the appropriate number of significant figures. 23.7 x 3.8.
• Significant figures: digits in the number that are reliable and absolutely necessary to indicate the quantity of something (Wikipedia). • Number of significant digits depends on the precision of the analytical method • More significant figures do not give more information on accuracy
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.
