# Rules for Rounding off Numbers - Flashcards

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 Class: CHEM 142 - GENERAL CHEMISTRY Subject: Chemistry University: University of Washington - Seattle Term: Spring 2010
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 1 If the digit removed is more than 5. the proceeding number increases by 1: 5.379 rounds to 5.38 if three significant figures are retained and to 5.4 if two significant figures are retained. 2 If the digit removed is less than 5, the proceeding number is unchanged: 0.2413 rounds to 0.241 if three significant figures are retained and to 0.24 if two significant figures are retained. 3 If the digit removed is 5, the preceding number increases by 1 if it is odd and remains unchanged if it is even: 17.75 rounds to 17.8, but 17.65 rounds to 17.6. If the 5 is followed only by zeros, rule 3 is followed; if the 5 is followed by non-zeros, rule 1 is followed: 17. 6500 rounds to 17.6, but 17.6513 rounds to 17.7. 4 Be sure to carry two or more additional significant figures through a multistep calculation and round off only to final answer. (In sample problems and follow-up problems, we round off intermediate steps of a calculation to show the correct number of significant figures.)
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1.If the digit removed is more than 5. the proceeding number increases by 1: 5.379 rounds to 5.38 if three significant figures are retained and to 5.4 if two significant figures are retained.
2. If the digit removed is less than 5, the proceeding number is unchanged: 0.2413 rounds to 0.241 if three significant figures are retained and to 0.24 if two significant figures are retained.
3.If the digit removed is 5, the preceding number increases by 1 if it is odd and remains unchanged if it is even: 17.75 rounds to 17.8, but 17.65 rounds to 17.6. If the 5 is followed only by zeros, rule 3 is followed; if the 5 is followed by non-zeros, rule 1 is followed: 17. 6500 rounds to 17.6, but 17.6513 rounds to 17.7.
4. Be sure to carry two or more additional significant figures through a multistep calculation and round off only to final answer. (In sample problems and follow-up problems, we round off intermediate steps of a calculation to show the correct number of significant figures.)