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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: Fundamentals. Use these rules when recording measurements and rounding calculations in chemistry. When Recording a Measurement. Write all the digits you are sure of, plus the first digit that you must estimate in the measurement – the first doubtful digit (the first uncertain digit). Then stop.
significant figures. If the leading figure in the uncertainty is a 1, we use two significant figures, otherwise we use one significant figure. Then the result should be rounded to match. Example: Round off z = 12.0349 cm, where Dz = 0.153 cm. Since Dz begins with a 1, we round off Dz to two significant figures: Dz = 0.15 cm. Hence, round z to ...
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. 1. Why do we have to worry about significant figures anyway?
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.
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.
Applies when there is only one figure after the number of decimal places or significant figures being considered and that figure is a 5. Rule: Round to the nearest even number
