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Learning Objectives. Give an example of a measurement whose number of significant digits is clearly too great, and explain why. State the purpose of rounding off, and describe the information that must be known to do it properly. Round off a number to a specified number of significant digits.
When performing mathematical operations, there are two rules for limiting the number of significant figures in an answer—one rule is for addition and subtraction, and one rule is for multiplication and division.
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.
20 maj 2018 · Before dealing with the specifics of the rules for determining the significant figures in a calculated result, we need to be able to round numbers correctly. To round a number, first decide how many significant figures the number should have.
Rounding Off Numbers In reporting a numerical answer, one needs to know how to "round off" a number to include the correct number of significant figures. Even in a series of operations leading to the final answer, one must "round off" numbers. The rules are well accepted rules: 1. If the figure to be dropped is less than 5, simply eliminate it. 2.
The following rules dictate the manner in which numbers are to be rounded to the number of figures indicated. The first two rules are more-or-less the old ones. Rule three is the change in the old way. When rounding, examine the figure following (i.e., to the right of) the figure that is to be last.
There are a few important rules for determining which digits in a given number are significant: Non-zero numbers are ALWAYS significant. Zeros between non-zero numbers are ALWAYS significant. 3. Zeros to the left of the first non-zero number are NOT significant. one sig fig. The zeros simply indicate the position of the decimal place) has. 4.
