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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.
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.
1) Round the numbers in the table. Number Nearest 10 Nearest 100 423 420 482 535 799 [1] 2) Round the numbers in the table. Number Nearest unit Nearest tenth 3.41 3 7.27 1.82 7.95 [1] 3) Round the numbers in the table. Number 1 decimal place 2 decimal places 0.474 0.5 4.945 0.6138 88.7057 [1] Rounding, Decimal Places and Significant Figures ...
Rounding a lone 5 (A 5 without following digits). Some instructors prefer the simple “round 5 up” rule. Others prefer a slightly more precise “engineer’s rule” described as follows. a. If the number in front of the 5 is even, round down by dropping the 5. Example: 1.45 = 1.4 b. If the number in front of the five is odd, round it up.
This resource shows what significant figures are and how to round numbers to one or two significant figures. Examples include rounding numbers such as 1508.06 and 0.01704.
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?
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.
