MATH WITH SIG FIGS

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 m2s
• ROUNDED ANS 130 m2s
• 2) 9.560g / 66.0mL
• CALC. ANS 0.14484848 g/mL
• ROUNDED ANS 0.145 g/mL

6

• 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
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