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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.
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.
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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 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.
It makes rounding accurate, not random! Students see this as a meaningful skill for interpreting & communicating calculated results. Explore our extensive range of worksheets designed to help your students practice their skills related to significant figures. These teaching resources and worksheets are in PDF format and can be downloaded easily.