Significant Figures SIG FIGS!!!!!!!
Importance of Sig figs Sig figs tell people the precision of a value. Precision: how many times you can achieve the same result. (dart and #19 over and over) Accuracy: how close your value is to the true value (dart and bulls-eye)
Rule #1 All real numbers are sig figs. Ex (4) Ex (7) Ex (4) Ex (7)
Rule #2 All zeros between real numbers are sig figs. Ex (4) Ex (6) Ex (20)
Rule #3 All zeros behind a real number in FRONT of a decimal are not sig figs. Ex (1) Ex. 410 (2) Ex (1)
Rule #4 All zeros BEHIND the decimal and in FRONT of a real number are not sig figs. Ex (2) Ex (2)
Rule #5 All zeros BEHIND the decimal and BEHIND a real number are sig figs. Ex (5) Ex (6) Ex (4) Ex (tricky…the underlined zeros do not follow this rule.. 4)
How many sig figs? # (?) 5sf # (?) 8sf # (?) 6sf # (1) 1sf
Addition and subtraction When adding and subtracting—pay attention to the number of digits behind the decimal point. Lowest number wins! Ex digits behind digits behind = digits behind
Multiplication and division When multiplying and dividing, pay attention to the total number of sig figs in each value in the problem. Lowest number wins! Ex sig figs x sig figs = 2.9 only 2 sig figs