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  1. 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.

  2. 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.

  3. 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.

  4. Significant Figures Worksheet #1 Name_____Block____ There are two rules for determining the number of significant figures: 1) If there is no decimal point--start at the RIGHT and count, beginning with the first non-zero digit.

  5. 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.

  6. 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.

  7. Use the order of mathematical operations to determine which order to apply the rules for addition/subtraction (determine the number of sig figs for that step) or the rules for multiplication/division.

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