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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.
Scientific notation, significant figures and rounding . Scientific or Standard Notation is best used to express very large or very small numbers in a compact, easy to read form, but can be used on any numbers. Simply, the basic format of the notation is + n-> a positive index indicates a large number. a 10× n
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.
Workout. Rounding: Signiicant Figures. Video 279a on www.corbettmaths.com. Click here. Question 1: Round each of the following numbers to 1 signiicant igure. (a) 36. (b) 22. (h) 260. (i) 741.
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.
Rounding Name: _____ Instructions • Use black ink or ball-point pen. • Answer all questions. • Answer the questions in the spaces provided – there may be more space than you need. • Diagrams are NOT accurately drawn, unless otherwise indicated. • You must show all your working out. Information