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MATH WITH SIG FIGS

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. RULES FOR ROUNDING WITH SIG FIGS. MULTIPLICATION / DIVISION

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MATH WITH SIG FIGS

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  1. 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

  2. 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 cm3 • ROUNDED ANSWER:18000 cm3

  3. 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= • CALCULATOR ANSWER: 31.145 cm • ROUNDED ANSWER: 31.1 cm

  4. 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=

  5. ANSWERS • 1) (6.54m)(7.9m)(2.456s) = • CALC. ANS: 126.891696 m2*s • ROUNDED ANS: 130 m2*s • 2) 9.560g / 66.0mL = • CALC. ANS: 0.14484848 g/mL • ROUNDED ANS: 0.145 g/mL

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

  7. 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

  8. 4) 8.45L – 0.65L= • CALC. ANS: 7.8L • ROUNDED ANS: 7.80L

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