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Significant Figures SIG FIGS!!!!!!!

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Page 1: 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

Significant Figures

SIG FIGS!!!!!!!

Page 2: 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

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)

Page 3: 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

Rule #1

• All real numbers are sig figs.

• Ex. 1235 (4)

• Ex. 4487558 (7)

• Ex. .2257 (4)

• Ex. 14.88597 (7)

Page 4: 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

Rule #2

• All zeros between real numbers are sig figs.

• Ex. 2007 (4)

• Ex. 24.0559 (6)

• Ex. 800000000000000004.05 (20)

Page 5: 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

Rule #3

• All zeros behind a real number in FRONT of a decimal are not sig figs.

• Ex. 5000 (1)

• Ex. 410 (2)

• Ex. 100000 (1)

Page 6: 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

Rule #4

• All zeros BEHIND the decimal and in FRONT of a real number are not sig figs.

• Ex. 0.0045 (2)

• Ex. 0.0000078 (2)

Page 7: 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

Rule #5

• All zeros BEHIND the decimal and BEHIND a real number are sig figs.

• Ex. 0.22570 (5)

• Ex. 0.998700 (6)

• Ex. 45.10 (4)

• Ex. 0.004580 (tricky…the underlined zeros do not follow this rule.. 4)

Page 8: 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

How many sig figs?

#1 50069 (?)• 5sf#2 50069.004 (?)• 8sf#3 448.000 (?)• 6sf#4 8000 (1)• 1sf

Page 9: 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

Addition and subtraction

• When adding and subtracting—pay attention to the number of digits behind the decimal point.

• Lowest number wins!

• Ex. 12.005 3 digits behind + 1.01 2 digits behind

13.015 = 13.02 2 digits behind

Page 10: 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

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. 12.501 5 sig figs

x 0.23 2 sig figs

2.87523 = 2.9 only 2 sig figs


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