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Published byEmmeline Bryant Modified over 8 years ago

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MATH WITH SIG FIGS SIG FIGS HELP YOU ROUND OFF ANSWERS WITH CORRECT PRECISION. AN ANSWER CAN ONLY BE AS PRECISE AS YOUR LEAST PRECISE MEASUREMENT

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RULES FOR ROUNDING WITH SIG FIGS MULTIPLICATION / DIVISION – ROUND THE FINAL ANSWER OFF TO THE MEASUREMENT WITH THE LEAST NUMBER OF TOTAL SIG FIGS. –EX: (4.56 cm)(72.12 cm)(54 cm)= CALCULATOR ANSWER: 17758.8288 cm 3 ROUNDED ANSWER: 18000 cm 3

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–A–ADDITION/SUBTRACTION ROUND THE FINAL ANSWER TO THE MEASUREMENT WITH THE LEAST NUMBER OF DIGITS AFTER THE DECIMAL. EX: 6.78 cm + 23.5 cm + 0.865 cm= –C–CALCULATOR ANSWER: 31.145 cm –R–ROUNDED ANSWER: 31.1 cm

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PRACTICE PROBLEMS COPY AND WORK IN NOTEBOOK 1) (6.54m)(7.9m)(2.456s) = 2) 9.560g / 66.0mL = 3) 5.78g + 4.9g + 389.0mg = 4) 8.45L – 0.65L=

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ANSWERS 1) (6.54m)(7.9m)(2.456s) = –C–CALC. ANS: 126.891696 m 2 *s –R–ROUNDED ANS: 130 m 2 *s 2) 9.560g / 66.0mL = –C–CALC. ANS: 0.14484848 g/mL –R–ROUNDED ANS: 0.145 g/mL

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3) 5.78g + 4.9g + 389.0mg = 5.78g + 4.9g + 0.3890g = –CALC. ANS: 11.069 g –ROUNDED ANS: 11.1 g OR CHANGE TO g

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3) 5.78g + 4.9g + 389.0mg = CHANGE TO mg 5780 mg + 4900 mg + 389.0 mg= –CALC. ANS.: 11069 mg –ROUNDED ANS.: 11100 mg

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4) 8.45L – 0.65L= –CALC. ANS: 7.8L –ROUNDED ANS: 7.80L

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