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 – 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: cm 3 ROUNDED ANSWER: cm 3
–A–ADDITION/SUBTRACTION ROUND THE FINAL ANSWER TO THE MEASUREMENT WITH THE LEAST NUMBER OF DIGITS AFTER THE DECIMAL. EX: 6.78 cm cm cm= –C–CALCULATOR ANSWER: cm –R–ROUNDED ANSWER: 31.1 cm
PRACTICE PROBLEMS COPY AND WORK IN NOTEBOOK 1) (6.54m)(7.9m)(2.456s) = 2) 9.560g / 66.0mL = 3) 5.78g + 4.9g mg = 4) 8.45L – 0.65L=
ANSWERS 1) (6.54m)(7.9m)(2.456s) = –C–CALC. ANS: m 2 *s –R–ROUNDED ANS: 130 m 2 *s 2) 9.560g / 66.0mL = –C–CALC. ANS: g/mL –R–ROUNDED ANS: g/mL
3) 5.78g + 4.9g mg = 5.78g + 4.9g g = –CALC. ANS: g –ROUNDED ANS: 11.1 g OR CHANGE TO g
3) 5.78g + 4.9g mg = CHANGE TO mg 5780 mg mg mg= –CALC. ANS.: mg –ROUNDED ANS.: mg
4) 8.45L – 0.65L= –CALC. ANS: 7.8L –ROUNDED ANS: 7.80L