1. Sig Fig Math and Measurement

2. Apply the sig fig rules to mathematical problems
Objectives
Apply the sig fig rules to mathematical problems
Understand how to apply sig figs when measuring in the lab

3. Multiplying and Dividing
Limit and round to the least number of significant figures for any of the factors.
1.35 x =
1.35 has 3 sig figs
2.467 has 4 sig figs
Since the lowest number is 3 sig figs, answer is: 3.33

4. Try On Your Own
0.021 x 3.23 x = 150/4 =

5. Adding and Subtracting
Limit and round your answer to the least number of places in any of the numbers to make up your answer.
= 53.21
12.01 has 2 digits after decimal
35.2 has 1 digit after decimal
6 has 0 digits after decimal
Since 6 does not have any digits after the number, the answer is: 53

6. Try on Your Own! = =

7. What are Significant Figures?
It is important to be honest when reporting a measurement, so that it does not appear to be more accurate than the equipment used to make the measurement allows. We can achieve this by controlling the number of digits, or significant figures, used to report the measurement.

8. How many Significant Figures do we use?
The number of Sig Figs is equal to the number of digits that are known with some degree of confidence plus the last digit (1) which is an estimate or approximation.
Degree of confidence
As we improve the sensitivity of the equipment used to make a measurement, the number of significant figures increases
1 digit of estimation

9. Measuring with a ruler

10. Measuring with a graduated cylinder