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Significant figures. Significant figures: Are the numbers in a measurement that include all of the digits that are known, plus the last digit that is.

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Presentation on theme: "Significant figures. Significant figures: Are the numbers in a measurement that include all of the digits that are known, plus the last digit that is."— Presentation transcript:

1 Significant figures

2 Significant figures: Are the numbers in a measurement that include all of the digits that are known, plus the last digit that is estimated.

3 Calculating can change the # of significant digits. The following rules will help you determine how many significant figures a reported measurement has.

4 Rule #1 Every non zero number is assumed to be significant.

5 Examples: 98 = 2 significant digits = 6 significant digits.555 = 3 significant digits

6 Rule #2 Zero’s appearing between non zero numbers are significant.

7 Examples: 101 = 3 significant digits = 11 significant digits.6509 = 4 significant digits

8 Rule 3 The left most zeros appearing in front of significant digits are not significant. They are considered place holders.

9 Examples: = 2 significant digits = 3 significant digits = 4 significant digits

10 Rule 4 Zeros at the end of a number that are on the right of any non zero number are always significant, when a decimal is present.

11 Examples: = 5 significant digits = 6 significant digits = 4 significant digits

12 Rule 5 (an exception to rule 4) Numbers that are to the right of a non zero number where there is no decimal present are not significant. Unless it is stated that the measurement is known precisely.

13 Examples: 5000 = 1 significant digits = 4 significant digits = 6 significant digits (The zero between the 1 and the decimal is significant because it is between the significant zero’s after the decimal.)

14 Rule 6 You have an unlimited number of significant figs if you : A.Come up with the number by counting every thing. B. Are getting the number by converting within a system of measurement.

15 Examples: I counted = 5 significant digits There are 1000 meter in 1 Km = 4 significant digits There are 3600 seconds in 1 hour= 4 significant digits

16 Calculating Significant Digits When multiplying or dividing measurements, the final answer can not have more sig digs than the measurement with the smallest # of significant digs.

17 Example: 50.0 grams x 3.0 = grams \ 8.3 = 6.0

18 Calculating Adding and Subtracting When adding and subtracting, the answer must have the same number of decimal places as the number with the least number of decimal places.

19 Example: 50 grams grams = 54 grams grams grams = 41.7 grams


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