Rules for Significant Figures

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Presentation transcript:

Rules for Significant Figures K. Culbertson

459 How many digits are significant? 3

2.1 How many digits are significant? 2

.87992 How many digits are significant? 5

Rule #1 All digits 1-9 are significant

104 How many digits are significant? 3

1.0402 How many digits are significant? 5

10.508 How many digits are significant? 5

100001 How many digits are significant? 6

Rule #2 Zeros in between 1-9 digits are significant

1.800 How many digits are significant? 3

8.060 How many digits are significant? 4

100 How many digits are significant? 1

100. How many digits are significant? 3

100.0 How many digits are significant? 4

Rule #3 Trailing zeros are significant when there is a decimal point

0.0090 How many digits are significant? 2

0.0008700 How many digits are significant? 4

0.470 How many digits are significant? 3

Rule #4 Place holding zeros are NOT significant

End Clickers -Pass to the Center-

Practice! Complete the Practice Worksheet Be prepared to explain how to arrived at your answer!

Sig Fig Race There are four rounds There are 8 people in each group Each person has a number card (numbers 1-8) Identify the number of sig figs in the problem set for each round Use your number cards to organize yourself in the order of the answers for the round Example Round: Answers = 2,5,6,8,1,3,4,7 2 5 6 8 3 4 7

Calculating with Significant Figures

Multiplication & Division 3 x 2.0 x 1.00 = 6 3.0 x 2.0 x 1.00 = 6.0 3.00 x 2.00 x 1.00 = 6.00 10 / 2 / 1 = 5 10. / 2.0 / 1.0 = 5.0 10.0 / 2.00 / 1.00 = 5.00

Multiplication & Division 3 x 2.0 x 1.00 = 6 3.0 x 2.0 x 1.00 = 6.0 3.00 x 2.00 x 1.00 = 6.00 10 / 2 / 1 = 5 10. / 2.0 / 1.0 = 5.0 10.0 / 2.00 / 1.00 = 5.00 The answer can contain no more significant figures than the least accurate measurement.

Addition & Subtraction 42 + 5 + 87 = 134 42 + 5 + 8.7 = 48 4.2 + 5.0 + 0.87 = 10.1 87 - 5 - 4.2 = 78 8.7 – 0.5 – 0.42 = 7.8 8.70 – 5.00 – 0.42 = 3.28

Addition & Subtraction 42 + 5 + 87 = 134 42 + 5 + 8.7 = 48 4.2 + 5.0 + 0.87 = 10.1 87 - 5 - 4.2 = 78 8.7 – 0.5 – 0.42 = 7.8 8.70 – 5.00 – 0.42 = 3.28 The answer can contain no more decimal places than the least accurate measurement.